Lights Out

For the game, see the main page. This page exists only to hold a somewhat long table.

Coranks

Let A be the adjacency matrix for the m × n grid (the cartesian product of two paths of lengths m and n). An arbitrary Lights Out pattern can be solved (turned off) if and only if I+A has full 2-rank, that is, zero 2-corank.

A table of 2-coranks of I+A was given on the main page.

Period lengths for Lights Out

The function 2-corank(m,n) is periodic. The table below gives the period in m for fixed n. These numbers are one more than those in Sloane's sequence A118141 that gives the sizes of perfect parity patterns.

Period lengths for 0 ≤ n ≤ 1200:
nperiodperiod
0 1 1
1 3 3
2 22 4
3 2.3 6
4 22+1 5
5 23.3 24
6 23+1 9
7 22.3 12
8 22(23–1) 28
9 2.3(22+1) 30
10 25–1 31
11 24.3 48
12 26–1 63
13 2(23+1) 18
14 22(28–1)/3 340
15 23.3 24
16 28–1 255
17 23.3(23–1) 168
18 29+1 513
19 22.3(22+1) 60
20 22(212–1)/7 2340
21 2.3(25–1) 186
22 211–1 2047
23 25.3 96
24 210+1 1025
25 2(26–1) 126
26 22(29–1) 2044
27 22(23+1) 36
28 (214+1)/5 3277
29 23(28–1) 2040
30 (210–1)/3 341
31 24.3 48
32 22(210–1) 4092
33 2(28–1) 510
34 212–1 4095
35 24.3(23–1) 336
36 7(29+1) 3591
37 2(29+1) 1026
38 22(212–1) 16380
39 23.3(22+1) 120
40 220–1 1048575
41 23(212–1)/7 4680
42 214–1 16383
43 22.3(25–1) 372
44 22.17(212–1)/3 92820
45 2.3(211–1) 12282
46 223–1 8388607
47 26.3 192
48 221+1 2097153
49 2.3(210+1) 6150
50 22(216–1) 262140
51 22(26–1) 252
52 226+1 67108865
53 23.3(29–1) 12264
54 25(210–1) 25575
55 23(23+1) 72
56 22(218–1) 1048572
57 2.3(214+1)/5 19662
58 229–1 536870911
59 24(28–1) 4080
60 230–1 1073741823
61 2(210–1) 2046
62 22(212–1) 16380
63 25.3 96
64 212–1 4095
65 23(210–1) 8184
66 233+1 8589934593
67 22(28–1) 1020
68 22(222–1)/3 5592404
69 2(212–1) 8190
70 235–1 34359738367
71 25.3(23–1) 672
72 218–1 262143
73 2.7(29+1) 7182
74 22(240–1)/(210–1) 4299165700
75 22(29+1) 2052
76 230–1 1073741823
77 23(212–1) 32760
78 239+1 549755813889
79 24.3(22+1) 240
80 22(227–1) 536870908
81 2(220–1) 2097150
82 241–1 2199023255551
83 24(212–1)/7 9360
84 216–1 65535
85 2(214–1) 32766
86 22(214+1)(228+1)/5 3518651970356
87 23.3(25–1) 744
88 222–1 4194303
89 23.17(212–1)/3 185640
90 224–1 16777215
91 22.3(211–1) 24564
92 22(220–1) 4194300
93 2.3(223–1) 50331642
94 236–1 68719476735
95 27.3 384
96 224+1 16777217
97 2(221+1) 4194306
98 22.33(215–1) 4325244
99 22.3(210+1) 12300
100 250+1 1125899906842625
101 23(216–1) 524280
102 251+1 2251799813685249
103 23(26–1) 504
104 22(224–1) 67108860
105 2.3(226+1) 402653190
106 253–1 9007199254740991
107 24.3(29–1) 24528
108 (236–1)/3 22906492245
109 2.25(210–1) 51150
110 22(236–1) 274877906940
111 24(23+1) 144
112 (228–1)/3 89478485
113 23(218–1) 2097144
114 (244–1)/3 5864062014805
115 22.3(214+1)/5 39324
116 22(224–1) 67108860
117 2.3(229–1) 3221225466
118 3(28–1)(224+1) 12834571005
119 25(28–1) 8160
120 255–1 36028797018963967
121 2(230–1) 2147483646
122 22(240–1) 4398046511100
123 22(210–1) 4092
124 250+1 1125899906842625
125 23(212–1) 32760
126 214–1 16383
127 26.3 192
128 22(214–1) 65532
129 2(212–1) 8190
130 265–1 36893488147419103231
131 24(210–1) 16368
132 236–1 68719476735
133 2(233+1) 17179869186
134 22.17(236–1)/3 1557641472660
135 23(28–1) 2040
136 268–1 295147905179352825855
137 23(222–1) 33554424
138 269+1 590295810358705651713
139 22(212–1) 16380
140 22(246–1)/3 93824992236884
141 2.3(235–1) 206158430202
142 (260–1)/305 3780070506907695
143 26.3(23–1) 1344
144 214+1 16385
145 2(218–1) 524286
146 22(284–1)/(221–1) 36893505739613536260
147 22.7(29+1) 14364
148 274+1 18889465931478580854785
149 23.3(240–1)/(210–1) 25794994200
150 230–1 1073741823
151 23(29+1) 4104
152 22(28+1)(224–1) 17246977020
153 2(230–1) 2147483646
154 240–1 1099511627775
155 24(212–1) 65520
156 252–1 4503599627370495
157 2(239+1) 1099511627778
158 22(2104–1)/(226–1) 1208925837629027952623620
159 25.3(22+1) 480
160 (211–1)(233+1) 17583596111871
161 23.3(227–1) 3221225448
162 281+1 2417851639229258349412353
163 22(220–1) 4194300
164 22.17(220–1) 71303100
165 2.3(241–1) 13194139533306
166 283–1 9671406556917033397649407
167 25(212–1)/7 18720
168 278–1 302231454903657293676543
169 2(216–1) 131070
170 22(218–1) 1048572
171 22(214–1) 65532
172 286+1 77371252455336267181195265
173 23.3(214+1)(228+1)/5 21111911822136
174 260–1 1152921504606846975
175 24.3(25–1) 1488
176 22(258–1)/3 384307168202282324
177 2(222–1) 8388606
178 289–1 618970019642690137449562111
179 24.17(212–1)/3 371280
180 (290–1)/73 16958082729936716094508551
181 2(224–1) 33554430
182 22(260–1)/5 922337203685477580
183 23.3(211–1) 49128
184 236–1 68719476735
185 23(220–1) 8388600
186 31(28–1)(240+1) 8691639417577185
187 22.3(223–1) 100663284
188 22.65(218–1) 68157180
189 2(236–1) 137438953470
190 295–1 39614081257132168796771975167
191 28.3 768
192 248–1 281474976710655
193 2.3(224+1) 100663302
194 22(224–1) 67108860
195 22(221+1) 8388612
196 (298+1)/29 10928022415760598288764682805
197 23.33(215–1) 8650488
198 (299+1)/9 70425033346012744527594622521
199 23.3(210+1) 24600
200 22(266–1) 295147905179352825852
201 2.3(250+1) 6755399441055750
202 (284–1)/91 212558385866308426321965
203 24(216–1) 1048560
204 220–1 1048575
205 2(251+1) 4503599627370498
206 22(266–1) 295147905179352825852
207 24(26–1) 1008
208 31(245+1) 1090715534753823
209 23(224–1) 134217720
210 (2105+1)/3 13521606402434446949298167524011
211 22.3(226+1) 805306380
212 22(270–1) 4722366482869645213692
213 2.3(253–1) 54043195528445946
214 256–1 72057594037927935
215 25.3(29–1) 49056
216 230–1 1073741823
217 2(236–1)/3 45812984490
218 22(236–1) 274877906940
219 22.25(210–1) 102300
220 (248–1)/3133 89841997035
221 23(236–1) 549755813880
222 274–1 18889465931478580854783
223 25(23+1) 288
224 22(220+1)(260–1) 4835707890144535122018300
225 2(228–1) 536870910
226 2113–1 10384593717069655257060992658440191
227 24(218–1) 4194288
228 276–1 75557863725914323419135
229 2(244–1) 35184372088830
230 22.65(230–1) 279172873980
231 23.3(214+1)/5 78648
232 258–1 288230376151711743
233 23(224–1) 134217720
234 292–1 4951760157141521099596496895
235 22.3(229–1) 6442450932
236 22(239+1)(278+1)/5 132922799578733372454304071667626804
237 2.3(28–1)(224+1) 25669142010
238 2119–1 664613997892457936451903530140172287
239 26(28–1) 16320
240 224–1 16777215
241 2.3(255–1) 216172782113783802
242 22(281–1) 9671406556917033397649404
243 22(230–1) 4294967292
244 284–1 19342813113834066795298815
245 23(240–1) 8796093022200
246 236–1 68719476735
247 23(210–1) 8184
248 22(282–1)/3 6447604371278022265099604
249 2.3(250+1) 6755399441055750
250 (250–1)/3 375299968947541
251 24(212–1) 65520
252 (2110–1)/3 432691404877902302377541360768341
253 2(214–1) 32766
254 22(216–1) 262140
255 27.3 384
256 216–1 65535
257 23(214–1) 131064
258 236–1 68719476735
259 22(212–1) 16380
260 22(228+1)(284–1) 20769187511510562969458251424333820
261 2.3(265–1) 221360928884514619386
262 2131–1 2722258935367507707706996859454145691647
263 25(210–1) 32736
264 252–1 4503599627370495
265 2(236–1) 137438953470
266 22(244–1) 70368744177660
267 22(233+1) 34359738372
268 2134+1 21778071482940061661655974875633165533185
269 23.17(236–1)/3 3115282945320
270 2135+1 43556142965880123323311949751266331066369
271 24(28–1) 4080
272 22(224–1) 67108860
273 2(268–1) 590295810358705651710
274 240–1 1099511627775
275 24(222–1) 67108848
276 246–1 70368744177663
277 2(269+1) 1180591620717411303426
278 22(210+1)(230–1) 4402341474300
279 23(212–1) 32760
280 270–1 1180591620717411303423
281 23(246–1) 562949953421304
282 (294–1)/3 6602346876188694799461995861
283 22.3(235–1) 412316860404
284 22(272–1) 18889465931478580854780
285 2(260–1)/305 7560141013815390
286 3(220–1)(260+1) 3626774000079373706723325
287 27.3(23–1) 2688
288 2136–1 87112285931760246646623899502532662132735
289 2.3(214+1) 98310
290 22(296–1)/(224–1) 18889467057378554806276
291 22(218–1) 1048572
292 2146+1 89202980794122492566142873090593446023921665
293 23(284–1)/(221–1) 73787011479227072520
294 2116–1 83076749736557242056487941267521535
295 23.7(29+1) 28728
296 22.33(245–1) 4644337115725692
297 2.3(274+1) 113336795588871485128710
298 2132–1 5444517870735015415413993718908291383295
299 24.3(240–1)/(210–1) 51589988400
300 284–1 19342813113834066795298815
301 2(230–1) 2147483646
302 22(2200–1)/(250–1) 5708990770823844594835544790720090131971178500
303 24(29+1) 8208
304 260–1 1152921504606846975
305 23(28+1)(224–1) 34493954040
306 251+1 2251799813685249
307 22(230–1) 4294967292
308 22(2204–1)/(251–1) 45671926166590736476274754674063275510753918980
309 2(240–1) 2199023255550
310 2155–1 45671926166590716193865151022383844364247891967
311 25(212–1) 131040
312 278–1 302231454903657293676543
313 2(252–1) 9007199254740990
314 22(224–1) 67108860
315 22(239+1) 2199023255556
316 (2158+1)/5 73075081866545145910184241635814150982796627149
317 23.3(2104–1)/(226–1) 7253555025774167715741720
318 2140–1 1393796574908163946345982392040522594123775
319 26.3(22+1) 960
320 22(2106–1)/3 108172851219475575594385340192084
321 2(211–1)(233+1) 35167192223742
322 272–1 4722366482869645213695
323 24.3(227–1) 6442450896
324 260–1 1152921504606846975
325 2(281+1) 4835703278458516698824706
326 22(272–1) 18889465931478580854780
327 23(220–1) 8388600
328 9(269–1) 5312662293228350865399
329 23.17(220–1) 142606200
330 230–1 1073741823
331 22.3(241–1) 26388279066612
332 22(272–1) 18889465931478580854780
333 2.3(283–1) 58028439341502200385896442
334 2132–1 5444517870735015415413993718908291383295
335 26(212–1)/7 37440
336 242–1 4398046511103
337 2(278–1) 604462909807314587353086
338 22(256–1) 288230376151711740
339 22(216–1) 262140
340 220–1 1048575
341 23(218–1) 2097144
342 2147+1 178405961588244985132285746181186892047843329
343 23(214–1) 131064
344 22(288–1)/3 412646679761793424966374740
345 2.3(286+1) 464227514732017603087171590
346 2173–1 11972621413014756705924586149611790497021399392059391
347 24.3(214+1)(228+1)/5 42223823644272
348 (2174–1)/63 380083219460785927172209084114660015778457123557441
349 2(260–1) 2305843009213693950
350 22(212+1)(236–1) 1126174784733180
351 25.3(25–1) 2976
352 288–1 309485009821345068724781055
353 23(258–1) 2305843009213693944
354 (2140–1)/15 92919771660544263089732159469368172941585
355 22(222–1) 16777212
356 22(248–1) 1125899906842620
357 2.3(289–1) 3713820117856140824697372666
358 2179–1 766247770432944429179173513575154591809369561091801087
359 25.17(212–1)/3 742560
360 2171+1 2993155353253689176481146537402947624255349848014849
361 2(290–1)/73 33916165459873432189017102
362 22(2110–1) 5192296858534827628530496329220092
363 22(224–1) 67108860
364 272–1 4722366482869645213695
365 23(260–1)/5 1844674407370955160
366 2183+1 12259964326927110866866776217202473468949912977468817409
367 24.3(211–1) 98256
368 22(220+1)(260–1) 4835707890144535122018300
369 2(236–1) 137438953470
370 2156–1 91343852333181432387730302044767688728495783935
371 24(220–1) 16777200
372 2186–1 98079714615416886934934209737619787751599303819750539263
373 2.31(28–1)(240+1) 17383278835154370
374 22(2200–1)/(250–1) 5708990770823844594835544790720090131971178500
375 23.3(223–1) 201326568
376 284–1 19342813113834066795298815
377 23.65(218–1) 136314360
378 2189+1 784637716923335095479473677900958302012794430558004314113
379 22(236–1) 274877906940
380 22(228–1) 1073741820
381 2.3(295–1) 237684487542793012780631851002
382 2191–1 3138550867693340381917894711603833208051177722232017256447
383 29.3 1536
384 260–1 1152921504606846975
385 2(248–1) 562949953421310
386 22(27+1)(221–1) 1082129916
387 22.3(224+1) 201326604
388 2194+1 25108406941546723055343157692830665664409421777856138051585
389 23(224–1) 134217720
390 255(211–1)(288+1) 161546532851594805698304840038145
391 23(221+1) 16777224
392 22(2130–1) 5444517870735015415413993718908291383292
393 2.3(298+1)/29 65568134494563589732588096830
394 2156–1 91343852333181432387730302044767688728495783935
395 24.33(215–1) 17300976
396 244–1 17592186044415
397 2(299+1)/9 140850066692025489055189245042
398 22(236–1) 274877906940
399 24.3(210+1) 49200
400 2200–1 1606938044258990275541962092341162602522202993782792835301375
401 23(266–1) 590295810358705651704
402 (2120–1)/25 53169119831396634916152282411213783
403 22.3(250+1) 13510798882111500
404 22.17(2108–1) 22067261648773017421254609399185340
405 2(284–1)/91 425116771732616852643930
406 2180–1 1532495540865888858358347027150309183618739122183602175
407 25(216–1) 2097120
408 2102+1 5070602400912917605986812821505
409 2(220–1) 2097150
410 22(2136–1) 348449143727040986586495598010130648530940
411 22(251+1) 9007199254740996
412 2174–1 23945242826029513411849172299223580994042798784118783
413 23(266–1) 590295810358705651704
414 2164–1 23384026197294446691258957323460528314494920687615
415 25(26–1) 2016
416 22(2138–1) 1393796574908163946345982392040522594123772
417 2.31(245+1) 2181431069507646
418 2209–1 822752278660603021077484591278675252491367932816789931674304511
419 24(224–1) 268435440
420 (2210–1)/9 182833839702356226906107686950816722775859540625953318149845447
421 2(2105+1)/3 27043212804868893898596335048022
422 22(2138–1)/9 154866286100907105149553599115613621569308
423 23.3(226+1) 1610612760
424 280–1 1208925819614629174706175
425 23(270–1) 9444732965739290427384
426 2120–1 1329227995784915872903807060280344575
427 22.3(253–1) 108086391056891892
428 22(260–1) 4611686018427387900
429 2(256–1) 144115188075855870
430 243–1 8796093022207
431 26.3(29–1) 98112
432 272–1 4722366482869645213695
433 2(230–1) 2147483646
434 22(256–1)/(214–1) 17593259851780
435 22(236–1)/3 91625968980
436 2198–1 401734511064747568885490523085290650630550748445698208825343
437 23(236–1) 549755813880
438 273+1 9444732965739290427393
439 23.25(210–1) 204600
440 22(284–1) 77371252455336267181195260
441 2(248–1)/3133 179683994070
442 2221–1 3369993333393829974333376885877453834204643052817571560137951281151
443 24(236–1) 1099511627760
444 288–1 309485009821345068724781055
445 2(274–1) 37778931862957161709566
446 22(2296–1)/(274–1) 26959946667150639794668442334712336633518202784067885702154316414980
447 26(23+1) 576
448 (2224–1)/17 1585879215714743517333353828648213569037479083678857204770800602895
449 23(220+1)(260–1) 9671415780289070244036600
450 240–1 1099511627775
451 22(228–1) 1073741820
452 22(260–1) 4611686018427387900
453 2.3(2113–1) 62307562302417931542365955950641146
454 224–1 16777215
455 25(218–1) 8388576
456 276–1 75557863725914323419135
457 2(276–1) 151115727451828646838270
458 22(28+1)(272–1) 4854592744389995279678460
459 22(244–1) 70368744177660
460 2230+1 1725436586697640946858688965569256363112777243042596638790631055949825
461 23.65(230–1) 558345747960
462 (2231+1)/3 1150291057798427297905792643712837575408518162028397759193754037299883
463 24.3(214+1)/5 157296
464 22(240–1) 4398046511100
465 2(258–1) 576460752303423486
466 2233–1 13803492693581127574869511724554050904902217944340773110325048447598591
467 24(224–1) 268435440
468 (2132–1)/7 777788267247859345059141959844041626185
469 2(292–1) 9903520314283042199192993790
470 22(2104–1) 81129638414606681695789005144060
471 23.3(229–1) 12884901864
472 270–1 1180591620717411303423
473 23(239+1)(278+1)/5 265845599157466744908608143335253608
474 2180–1 1532495540865888858358347027150309183618739122183602175
475 22.3(28–1)(224+1) 51338284020
476 22(252+1)(2156–1) 1645504557321206407530378515283080055903944044686320378822262780
477 2.3(2119–1) 3987683987354747618711421180841033722
478 2239–1 883423532389192164791648750371459257913741948437809479060803100646309887
479 27(28–1) 32640
480 236–1 68719476735
481 2(224–1) 33554430
482 22(2132–1)/4196353 5189761557938538931699972541784060
483 22.3(255–1) 432345564227567604
484 248–1 281474976710655
485 23.3(281–1) 58028439341502200385896424
486 2243+1 14134776518227074636666380005943348126619871175004951664972849610340958209
487 23(230–1) 8589934584
488 22(2162–1) 23384026197294446691258957323460528314494920687612
489 2(284–1) 38685626227668133590597630
490 2245–1 56539106072908298546665520023773392506479484700019806659891398441363832831
491 24(240–1) 17592186044400
492 2112–1 5192296858534827628530496329220095
493 2(236–1) 137438953470
494 22.17(260–1) 78398662313265594300
495 24(210–1) 16368
496 (235–1)(2105+1) 1393796574867599127138679051192662451290111
497 23(282–1) 38685626227668133590597624
498 283+1 9671406556917033397649409
499 22.3(250+1) 13510798882111500
500 22(2166–1) 374144419156711147060143317175368453031918731001852
501 2(250–1) 2251799813685246
502 2251–1 3618502788666131106986593281521497120414687020801267626233049500247285301247
503 25(212–1) 131040
504 250+1 1125899906842625
505 2(2110–1) 2596148429267413814265248164610046
506 22(2156–1) 365375409332725729550921208179070754913983135740
507 22(214–1) 65532
508 2254+1 28948022309329048855892746252171976963317496166410141009864396001978282409985
509 23(216–1) 524280
510 218–1 262143
511 28.3 768
512 22(218–1) 1048572
513 2(216–1) 131070
514 2204–1 25711008708143844408671393477458601640355247900524685364822015
515 24(214–1) 262128
516 (2230–1)/3 575145528899213648952896321856418787704259081014198879596877018649941
517 2(236–1) 137438953470
518 22(2344–1)/(286–1) 1852673427797059126777135784084249351681833166499421633339912159514477583138820
519 23(212–1) 32760
520 (2260–1)/41 45187156775538027482369164881439183552495603771957293283690764490892928639975
521 23(228+1)(284–1) 41538375023021125938916502848667640
522 2261+1 3705346855594118253554271520278013051304639509300498049262642688253220148477953
523 22.3(265–1) 442721857769029238772
524 22(2120–1) 5316911983139663491615228241121378300
525 2.3(2131–1) 16333553612205046246241981156724874149882
526 280–1 1208925819614629174706175
527 26(210–1) 65472
528 2253–1 14474011154664524427946373126085988481658748083205070504932198000989141204991
529 2(252–1) 9007199254740990
530 22(229+1)(287–1)/3 110768999855066329289547300124054868
531 22(236–1) 274877906940
532 260–1 1152921504606846975
533 23(244–1) 140737488355320
534 2212–1 6582018229284824168619876730229402019930943462534319453394436095
535 23(233+1) 68719476744
536 22(2178–1) 1532495540865888858358347027150309183618739122183602172
537 2.3(2134+1) 130668428897640369969935849253798993199110
538 2210–1 1645504557321206042154969182557350504982735865633579863348609023
539 24.17(236–1)/3 6230565890640
540 (2270–1)/9 210793065562687616202198557598038075807552825417983889024719228487294301780079047
541 2(2135+1) 87112285931760246646623899502532662132738
542 22(2180–1) 6129982163463555433433388108601236734474956488734408700
543 25(28–1) 8160
544 236–1 68719476735
545 23(224–1) 134217720
546 2273+1 15177100720513508366558296147058741458143803430094840009779784451085189728165691393
547 22(268–1) 1180591620717411303420
548 22(2120–1) 5316911983139663491615228241121378300
549 2(240–1) 2199023255550
550 2252–1 7237005577332262213973186563042994240829374041602535252466099000494570602495
551 25(222–1) 134217696
552 278–1 302231454903657293676543
553 2(246–1) 140737488355326
554 22(272–1) 18889465931478580854780
555 22(269+1) 2361183241434822606852
556 2278+1 485667223056432267729865476705879726660601709763034880312953102434726071301302124545
557 23(210+1)(230–1) 8804682948600
558 (2168–1)/377 992425515004538851618417286937316851543551010615
559 24(212–1) 65520
560 22(280–1) 4835703278458516698824700
561 2(270–1) 2361183241434822606846
562 2281–1 3885337784451458141838923813647037813284813678104279042503624819477808570410416996351
563 24(246–1) 1125899906842608
564 228–1 268435455
565 2(294–1) 39614081257132168796771975166
566 22.65(254–1) 4683743612465315580
567 23.3(235–1) 824633720808
568 2284–1 31082702275611665134711390509176302506278509424834232340028998555822468563283335970815
569 23(272–1) 37778931862957161709560
570 2114–1 20769187434139310514121985316880383
571 22(260–1)/305 15120282027630780
572 22(2190–1)/3 2092367245128893587945263141069222138700785148154678170964
573 2.3(220–1)(260+1) 7253548000158747413446650
574 2220–1 1684996666696914987166688442938726917102321526408785780068975640575
575 28.3(23–1) 5376
576 272+1 4722366482869645213697
577 2(2136–1) 174224571863520493293247799005065324265470
578 22(296–1) 316912650057057350374175801340
579 22.3(214+1) 196620
580 2246–1 113078212145816597093331040047546785012958969400039613319782796882727665663
581 23.3(296–1)/(224–1) 113336802344271328837656
582 (2260–1)/11 168424857072459920616103250921727865968392704968204456784665576738782734021725
583 23(218–1) 2097144
584 22(224–1) 67108860
585 2.3(2146+1) 535217884764734955396857238543560676143529990
586 2293–1 15914343565113172548972231940698266883214596825515126958094847260581103904401068017057791
587 24(284–1)/(221–1) 147574022958454145040
588 2180–1 1532495540865888858358347027150309183618739122183602175
589 2(2116–1) 166153499473114484112975882535043070
590 22(298+1)(2196+1)/29 4390163742100185530750960535378892054371776626655396765098115047788952076312266863741140
591 24.7(29+1) 57456
592 2148–1 356811923176489970264571492362373784095686655
593 23.33(245–1) 9288674231451384
594 248–1 281474976710655
595 22.3(274+1) 226673591177742970257420
596 22(299+1)(2198+1)/9.5 22633733070383178736316063204584355968222070824633557498009198279575851318538980874075796
597 2(2132–1) 10889035741470030830827987437816582766590
598 2299–1 1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698687
599 25.3(240–1)/(210–1) 103179976800
600 250–1 1125899906842623
601 2(284–1) 38685626227668133590597630
602 22(266–1) 295147905179352825852
603 22(230–1) 4294967292
604 (2220–1)/11 153181515154264998833335312994429719736574684218980525460815967325
605 23.3(2200–1)/(250–1) 34253944624943067569013268744320540791827071000
606 2303+1 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179009
607 25(29+1) 16416
608 22(2168–1)/7 213796810946692084034367609814496258875382132001060
609 2(260–1) 2305843009213693950
610 2276–1 121416805764108066932466369176469931665150427440758720078238275608681517825325531135
611 24(28+1)(224–1) 68987908080
612 (2306–1)/9 14485589165045234391242280450911133589699330799402213337856998750964489242761505466193048007
613 2(251+1) 4503599627370498
614 22(240–1) 4398046511100
615 23(230–1) 8589934584
616 2154–1 22835963083295358096932575511191922182123945983
617 23(2204–1)/(251–1) 91343852333181472952549509348126551021507837960
618 2309+1 1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456513
619 22(240–1) 4398046511100
620 22(2198–1)/57 28191895513315618869157229690195835131968473575136716408796
621 2.3(2155–1) 274031556999544297163190906134303066185487351802
622 266–1 73786976294838206463
623 26(212–1) 262080
624 2250+1 1809251394333065553493296640760748560207343510400633813116524750123642650625
625 2(278–1) 604462909807314587353086
626 22(290–1) 4951760157141521099596496892
627 22(252–1) 18014398509481980
628 2144–1 22300745198530623141535718272648361505980415
629 23(224–1) 134217720
630 290–1 1237940039285380274899124223
631 23(239+1) 4398046511112
632 22(2210–1) 6582018229284824168619876730229402019930943462534319453394436092
633 2.3(2158+1)/5 438450491199270875461105449814884905896779762894
634 256–1 72057594037927935
635 24.3(2104–1)/(226–1) 14507110051548335431483440
636 2168–1 374144419156711147060143317175368453031918731001855
637 2(2140–1) 2787593149816327892691964784081045188247550
638 22(2210–1) 6582018229284824168619876730229402019930943462534319453394436092
639 27.3(22+1) 1920
640 264–1 18446744073709551615
641 23(2106–1) 649037107316853453566312041152504
642 2107+1 162259276829213363391578010288129
643 22(211–1)(233+1) 70334384447484
644 22(256–1) 288230376151711740
645 2(272–1) 9444732965739290427390
646 2323–1 17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492607
647 25.3(227–1) 12884901792
648 2145–1 44601490397061246283071436545296723011960831
649 2(260–1) 2305843009213693950
650 22(260–1) 4611686018427387900
651 22(281+1) 9671406556917033397649412
652 2326+1 136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940865
653 23(272–1) 37778931862957161709560
654 (2260–1)/5 370534685559411825355427152027801305130463950930049804926264268825322014847795
655 24(220–1) 16777200
656 22(236–1) 274877906940
657 2.9(269–1) 10625324586456701730798
658 2329–1 1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526911
659 24.17(220–1) 285212400
660 (2330–1)/7 312464389254715989196071746731088766479024204413316062346538658058564714171339417603359025289007689
661 2(230–1) 2147483646
662 22(248–1) 1125899906842620
663 23.3(241–1) 52776558133224
664 272–1 4722366482869645213695
665 23(272–1) 37778931862957161709560
666 (2308–1)/3 173827069980542812694907365410933603076391969592826560054283985011573870913138065594316576085
667 22.3(283–1) 116056878683004400771792884
668 22(2148–1) 1427247692705959881058285969449495136382746620
669 2(2132–1) 10889035741470030830827987437816582766590
670 2120–1 1329227995784915872903807060280344575
671 27(212–1)/7 74880
672 248–1 281474976710655
673 2(242–1) 8796093022206
674 22(220+1)(2180–1) 6427758307018124565723281802752759011325546450087660071419900
675 22(278–1) 1208925819614629174706172
676 (2338+1)/5 111987237108890210527872114028422213906082274861732476744999455048189593559008047269043874663580355789
677 23(256–1) 576460752303423480
678 248–1 281474976710655
679 23(216–1) 524280
680 22(2226–1) 431359146674410236714672241392314090778194310760649159697657763987452
681 2(220–1) 2097150
682 222–1 4194303
683 24(218–1) 4194288
684 268–1 295147905179352825855
685 2(2147+1) 356811923176489970264571492362373784095686658
686 22(2152–1) 22835963083295358096932575511191922182123945980
687 24(214–1) 262128
688 63(278+1) 19040581658930409501622335
689 23(288–1) 2475880078570760549798248440
690 2230–1 1725436586697640946858688965569256363112777243042596638790631055949823
691 22.3(286+1) 928455029464035206174343180
692 22(260–1) 4611686018427387900
693 2.3(2173–1) 71835728478088540235547516897670742982128396352356346
694 (2276–1)/13 9339754289546774379420489936651533205011571341596824621402944277590885986563502395
695 25.3(214+1)(228+1)/5 84447647288544
696 280–1 1208925819614629174706175
697 2(2174–1)/21 2280499316764715563033254504687960094670742741344646
698 22(2116–1) 332306998946228968225951765070086140
699 22(260–1) 4611686018427387900
700 2350+1 2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554625
701 23(212+1)(236–1) 2252349569466360
702 272–1 4722366482869645213695
703 26.3(25–1) 5952
704 22(2184–1) 98079714615416886934934209737619787751599303819750539260
705 2(288–1) 618970019642690137449562110
706 (2300–1)/13 156695075102652775866803514493029089311651414897379711587395419181106253827948977398722875
707 24(258–1) 4611686018427387888
708 2354–1 36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873983
709 2(2140–1)/5 557518629963265578538392956816209037649510
710 22(2156–1)/5 73075081866545145910184241635814150982796627148
711 23(222–1) 33554424
712 2110–1 1298074214633706907132624082305023
713 23(248–1) 2251799813685240
714 2120–1 1329227995784915872903807060280344575
715 22.3(289–1) 7427640235712281649394745332
716 22(2238–1) 1766847064778384329583297500742918515827483896875618958121606201292619772
717 2.3(2179–1) 4597486622597666575075041081450927550856217366550806522
718 2359–1 1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967487
719 26.17(212–1)/3 1485120
720 2102–1 5070602400912917605986812821503
721 2(2171+1) 5986310706507378352962293074805895248510699696029698
722 22(248–1) 1125899906842620
723 22(290–1)/73 67832330919746864378034204
724 270+1 1180591620717411303425
725 23(2110–1) 10384593717069655257060992658440184
726 2121+1 2658455991569831745807614120560689153
727 23(224–1) 134217720
728 22(2243–1) 56539106072908298546665520023773392506479484700019806659891398441363832828
729 2(272–1) 9444732965739290427390
730 2112–1 5192296858534827628530496329220095
731 24(260–1)/5 3689348814741910320
732 2244–1 28269553036454149273332760011886696253239742350009903329945699220681916415
733 2(2183+1) 24519928653854221733733552434404946937899825954937634818
734 22(2168–1) 1496577676626844588240573268701473812127674924007420
735 25.3(211–1) 196512
736 (233+1)(2165–1) 401734511111515621280079416467808565277471805074679460265983
737 23(220+1)(260–1) 9671415780289070244036600
738 2246–1 113078212145816597093331040047546785012958969400039613319782796882727665663
739 22(236–1) 274877906940
740 22(272–1) 18889465931478580854780
741 2(2156–1) 182687704666362864775460604089535377456991567870
742 2371–1 4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830847
743 25(220–1) 33554400
744 274+1 18889465931478580854785
745 2(2186–1) 196159429230833773869868419475239575503198607639501078526
746 22(241+1)(2123–1)/3 31178701596406774020300315533925011691704186918228
747 22.31(28–1)(240+1) 34766557670308740
748 2318–1 533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734143
749 23.3(2200–1)/(250–1) 34253944624943067569013268744320540791827071000
750 2375+1 76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293569
751 24.3(223–1) 402653136
752 22(250–1) 4503599627370492
753 2(284–1) 38685626227668133590597630
754 2120–1 1329227995784915872903807060280344575
755 24.65(218–1) 272628720
756 2378–1 615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348543
757 2(2189+1) 1569275433846670190958947355801916604025588861116008628226
758 22(2110–1) 5192296858534827628530496329220092
759 23(236–1) 549755813880
760 2380–1 2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394175
761 23(228–1) 2147483640
762 272–1 4722366482869645213695
763 22.3(295–1) 475368975085586025561263702004
764 22(28+1)(224–1) 17246977020
765 2.3(2191–1) 18831305206160042291507368269622999248307066333392103538682
766 2348–1 573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638655
767 210.3 3072
768 2192–1 6277101735386680763835789423207666416102355444464034512895
769 2(260–1) 2305843009213693950
770 22(232–1) 17179869180
771 22(248–1) 1125899906842620
772 2386+1 157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227265
773 23(27+1)(221–1) 2164259832
774 240–1 1099511627775
775 23.3(224+1) 402653208
776 22(236–1) 274877906940
777 2.3(2194+1) 150650441649280338332058946156983993986456530667136828309510
778 171(220–1)(2180+1) 274786143511549849050680738512997162328426313132467681619869525
779 24(224–1) 268435440
780 2140–1 1393796574908163946345982392040522594123775
781 2.255(211–1)(288+1) 323093065703189611396609680076290
782 22(228+1)(2252–1) 7770675597850938593006896483186821878741604319526054251417390648820013142798042660860
783 24(221+1) 33554448
784 252–1 4503599627370495
785 23(2130–1) 10889035741470030830827987437816582766584
786 2393+1 20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089793
787 22.3(298+1)/29 131136268989127179465176193660
788 22(2262–1) 29642774844752946028434172162224104410437116074403984394101141506025761187823612
789 2(2156–1) 182687704666362864775460604089535377456991567870
790 284–1 19342813113834066795298815
791 25.33(215–1) 34601952
792 260–1 1152921504606846975
793 2(244–1) 35184372088830
794 22(2104–1) 81129638414606681695789005144060
795 22(299+1)/9 281700133384050978110378490084
796 2398+1 645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873345
797 23(236–1) 549755813880
798 2184–1 24519928653854221733733552434404946937899825954937634815
799 25.3(210+1) 98400
800 22(222+1)(266–1) 1237940334433285454235172860
801 2(2200–1) 3213876088517980551083924184682325205044405987565585670602750
802 2180–1 1532495540865888858358347027150309183618739122183602175
803 24(266–1) 1180591620717411303408
804 2132–1 5444517870735015415413993718908291383295
805 2(2120–1)/25 106338239662793269832304564822427566
806 22(2536–1)/(2134–1) 41315998049390537434494706752048189989277189822857640393836369491668744294951727176615373439243674422654735902812642738180
807 23.3(250+1) 27021597764223000
808 2404–1 41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894015
809 23.17(2108–1) 44134523297546034842509218798370680
810 2270–1 1897137590064188545819787018382342682267975428761855001222473056385648716020711423
811 22(284–1)/91 850233543465233705287860
812 22(2540–1)/(2135–1) 330527984395124299475957654016385519914209930032500866396507676785276424988884744988534224503383025609268947612441086263300
813 2(2180–1) 3064991081731777716716694054300618367237478244367204350
814 2324–1 34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985215
815 26(216–1) 4194240
816 2126–1 85070591730234615865843651857942052863
817 2.3(2102+1) 30423614405477505635920876929030
818 22(224–1) 67108860
819 22(220–1) 4194300
820 2410+1 2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217025
821 23(2136–1) 696898287454081973172991196020261297061880
822 2411+1 5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434049
823 23(251+1) 18014398509481992
824 22(240–1) 4398046511100
825 2(2174–1) 47890485652059026823698344598447161988085597568237566
826 2413–1 21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736191
827 24(266–1) 1180591620717411303408
828 2414–1 42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472383
829 2(2164–1) 46768052394588893382517914646921056628989841375230
830 22(292–1) 19807040628566084398385987580
831 26(26–1) 4032
832 85(221+1)(2168+1) 66694237740759111436202762733763415577406034310522680115285
833 23(2138–1) 2787593149816327892691964784081045188247544
834 (2332–1)/3 2916334299710682565830002969490161820470892574524283248567694141879937332265834564298017569364071765
835 22.31(245+1) 4362862139015292
836 22(210+1)(290–1) 5075554161070059127086409314300
837 2.3(2209–1) 4936513671963618126464907547672051514948207596900739590045827066
838 2419–1 1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116287
839 25(224–1) 536870880
840 (2406+1)/29 5698758351640074128895821620972164136451764508312769131764213752365567165830270222630941469307890386617165620905373778485
841 2(2210–1)/3 1097003038214137361436646121704900336655157243755719908899072682
842 22(270–1) 4722366482869645213692
843 22(2105+1)/3 54086425609737787797192670096044
844 2156–1 91343852333181432387730302044767688728495783935
845 23(2138–1)/3 929197716605442630897321594693681729415848
846 2330–1 2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053823
847 24.3(226+1) 3221225520
848 22(294–1) 79228162514264337593543950332
849 2(280–1) 2417851639229258349412350
850 2396–1 161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718335
851 24(270–1) 18889465931478580854768
852 2426–1 173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884863
853 2(2120–1) 2658455991569831745807614120560689150
854 22(272–1) 18889465931478580854780
855 23.3(253–1) 216172782113783784
856 2428–1 693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539455
857 23(260–1) 9223372036854775800
858 (2429+1)/3 462111615686802476596402364023847283906072845895969429195079930102436884634270937173329067684023263016231868493567261971495692971
859 22(256–1) 288230376151711740
860 22(2120–1) 5316911983139663491615228241121378300
861 2.3(243–1) 52776558133242
862 2431–1 5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315647
863 27.3(29–1) 196224
864 286+1 77371252455336267181195265
865 2(272–1) 9444732965739290427390
866 22(2272–1) 30354201441027016733116592294117482916287606860189680019559568902170379456331382780
867 22(230–1) 4294967292
868 2390–1 2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636223
869 23.3(256–1)/(214–1) 105559559110680
870 2264–1 29642774844752946028434172162224104410437116074403984394101141506025761187823615
871 23(236–1)/3 183251937960
872 22(296–1) 316912650057057350374175801340
873 2(2198–1) 803469022129495137770981046170581301261101496891396417650686
874 2300–1 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
875 24(236–1) 1099511627760
876 (2438–1)/7 101400491670704086293153433020089918297103984470887006177663253233906150685462879928319063994665675998990307143731330626888197771849
877 2(273+1) 18889465931478580854786
878 22(2584–1)/(2146–1) 2839213766779714416208296124562517712318911597013523303200916188493836100589494404422127799692816020651393385758177428728789667414020
879 24.25(210–1) 409200
880 2110–1 1298074214633706907132624082305023
881 23(284–1) 154742504910672534362390520
882 2441+1 5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223553
883 22(248–1)/3133 359367988140
884 22.17(2116–1) 5649218982085892459841180006191464380
885 2.3(2221–1) 20219960000362979846000261315264723005227858316905429360827707686906
886 2443–1 22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894207
887 25(236–1) 2199023255520
888 242–1 4398046511103
889 2(288–1) 618970019642690137449562110
890 22.33(2135–1) 5749410871496176278677177367167155700760444
891 22(274–1) 75557863725914323419132
892 2414–1 42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472383
893 23.3(2296–1)/(274–1) 161759680002903838768010654008274019801109216704407314212925898489880
894 2356–1 146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495935
895 27(23+1) 1152
896 22(2132–1) 21778071482940061661655974875633165533180
897 2(2224–1)/17 3171758431429487034666707657296427138074958167357714409541601205790
898 2140–1 1393796574908163946345982392040522594123775
899 24(220+1)(260–1) 19342831560578140488073200
900 2208–1 411376139330301510538742295639337626245683966408394965837152255
901 2(240–1) 2199023255550
902 22(284–1) 77371252455336267181195260
903 23(228–1) 2147483640
904 (2180–1)/73 20993089600902587100799274344524783337243001673747975
905 23(260–1) 9223372036854775800
906 2453+1 23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668993
907 22.3(2113–1) 124615124604835863084731911901282292
908 22(2100+1)(2300–1) 10328999512347634358623676688020195641224161115661967834076274938806796361642028523521125969847366450029748428728910741500
909 2(224–1) 33554430
910 2182–1 6129982163463555433433388108601236734474956488734408703
911 26(218–1) 16777152
912 2205–1 51422017416287688817342786954917203280710495801049370729644031
913 2(276–1) 151115727451828646838270
914 22(2120–1) 5316911983139663491615228241121378300
915 22(276–1) 302231454903657293676540
916 (2390–1)/7 360246913795606667083694080915598754789300473329969798106955825410246599053688782732930434330376371573089170197090889
917 23(28+1)(272–1) 9709185488779990559356920
918 2153+1 11417981541647679048466287755595961091061972993
919 23(244–1) 140737488355320
920 22(2102–1) 20282409603651670423947251286012
921 2.3(2230+1) 10352619520185845681152133793415538178676663458255579832743786335698950
922 2420–1 2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232575
923 24.65(230–1) 1116691495920
924 2180–1 1532495540865888858358347027150309183618739122183602175
925 2(2231+1)/3 2300582115596854595811585287425675150817036324056795518387508074599766
926 22(2204–1) 102844034832575377634685573909834406561420991602098741459288060
927 25.3(214+1)/5 314592
928 2464–1 47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095615
929 23(240–1) 8796093022200
930 2252–1 7237005577332262213973186563042994240829374041602535252466099000494570602495
931 22(258–1) 1152921504606846972
932 22(2310–1)/3 2781233119688685003118517846574937649222271513485224960868543760185181934610209049509065217364
933 2.3(2233–1) 82820956161486765449217070347324305429413307666044638661950290685591546
934 280–1 1208925819614629174706175
935 25(224–1) 536870880
936 2117+1 166153499473114484112975882535043073
937 2(2132–1)/7 1555576534495718690118283919688083252370
938 22(2156–1) 365375409332725729550921208179070754913983135740
939 22(292–1) 19807040628566084398385987580
940 2470+1 3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119425
941 23(2104–1) 162259276829213363391578010288120
942 2220–1 1684996666696914987166688442938726917102321526408785780068975640575
943 24.3(229–1) 25769803728
944 22(212+1)(236–1) 1126174784733180
945 2(270–1) 2361183241434822606846
946 2473–1 24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955391
947 24(239+1)(278+1)/5 531691198314933489817216286670507216
948 272–1 4722366482869645213695
949 2(2180–1) 3064991081731777716716694054300618367237478244367204350
950 22(2158+1)(2316+1)/5 39021856878949902892269965372414578821857476783418938737535507499436897820555547857233961514411774578322654899992334509448674980096182857184052
951 23.3(28–1)(224+1) 102676568040
952 268–1 295147905179352825855
953 23(252+1)(2156–1) 3291009114642412815060757030566160111807888089372640757644525560
954 (2380–1)/15 164175025818310330051162667083931724187832246960272694449784555851023840714571710880892776062020481836694283292945
955 22.3(2119–1) 7975367974709495237422842361682067444
956 22(228+1)(2140–1) 1496577682202030887873229054085403380289764226760700
957 2.3(2239–1) 5300541194335152988749892502228755547482451690626856874364818603877859322
958 2204–1 25711008708143844408671393477458601640355247900524685364822015
959 28(28–1) 65280
960 (2310–1)/3 695308279922171250779629461643734412305567878371306240217135940046295483652552262377266304341
961 2(236–1) 137438953470
962 22(253+1)(2159–1)/3 8776024305713099865827593860907814829031146427555762776141288788
963 22(224–1) 67108860
964 2192–1 6277101735386680763835789423207666416102355444464034512895
965 23(2132–1)/4196353 10379523115877077863399945083568120
966 (2483+1)/3 8324662800842645950350925946115110148662928380439923068957751892334324636852708320320816274835978589759538482990417661054527935144768760816773803
967 23.3(255–1) 864691128455135208
968 22(2144–1) 89202980794122492566142873090593446023921660
969 2(248–1) 562949953421310
970 2194–1 25108406941546723055343157692830665664409421777856138051583
971 24.3(281–1) 116056878683004400771792848
972 2138–1 348449143727040986586495598010130648530943
973 2(2243+1) 28269553036454149273332760011886696253239742350009903329945699220681916418
974 22(2120–1) 5316911983139663491615228241121378300
975 24(230–1) 17179869168
976 2488–1 799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285055
977 23(2162–1) 46768052394588893382517914646921056628989841375224
978 2110–1 1298074214633706907132624082305023
979 22(284–1) 77371252455336267181195260
980 22(272–1) 18889465931478580854780
981 2.3(2245–1) 339234636437449791279993120142640355038876908200118839959348390648182996986
982 2491–1 6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280447
983 25(240–1) 35184372088800
984 2196–1 100433627766186892221372630771322662657637687111424552206335
985 2(2112–1) 10384593717069655257060992658440190
986 22.65(2138–1) 90596777369030656512488855482633968618045180
987 22(236–1) 274877906940
988 2308–1 521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728255
989 23.17(260–1) 156797324626531188600
990 (2495+1)/33 3099801712022861619330672061389771924447577695116538626404631977363763064777153934548551223793469845786824511484431885425395129304815713118682317793
991 25(210–1) 32736
992 22(230–1) 4294967292
993 2(235–1)(2105+1) 2787593149735198254277358102385324902580222
994 2396–1 161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718335
995 24(282–1) 77371252455336267181195248
996 2166–1 93536104789177786765035829293842113257979682750463
997 2(283+1) 19342813113834066795298818
998 22(272–1) 18889465931478580854780
999 23.3(250+1) 27021597764223000
1000 2120–1 1329227995784915872903807060280344575
1001 23(2166–1) 748288838313422294120286634350736906063837462003704
1002 2232–1 6901746346790563787434755862277025452451108972170386555162524223799295
1003 22(250–1) 4503599627370492
1004 22.17(2132–1) 370227215209981048248151572885763814064060
1005 2.3(2251–1) 21711016731996786641919559689128982722488122124807605757398297001483711807482
1006 (2468–1)/7 108877948880998612980663965882853177516343406203437888911103409585148288881827762978526301027605049217348874550830309113261996919618034504265
1007 26(212–1) 262080
1008 2252+1 7237005577332262213973186563042994240829374041602535252466099000494570602497
1009 2.3(250+1) 6755399441055750
1010 22(284–1) 77371252455336267181195260
1011 22(2110–1) 5192296858534827628530496329220092
1012 292–1 4951760157141521099596496895
1013 23(2156–1) 730750818665451459101842416358141509827966271480
1014 284–1 19342813113834066795298815
1015 23(214–1) 131064
1016 22(228+1)(284–1) 20769187511510562969458251424333820
1017 2.3(2254+1) 173688133855974293135356477513031861779904976998460846059186376011869694459910
1018 2509–1 1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760511
1019 24(216–1) 1048560
1020 2170–1 1496577676626844588240573268701473812127674924007423
1021 2(218–1) 524286
1022 22(220–1) 4194300
1023 29.3 1536
1024 220–1 1048575
1025 23(218–1) 2097144
1026 2156–1 91343852333181432387730302044767688728495783935
1027 22(216–1) 262140
1028 22(2588–1)/(2147–1) 22713710134237715329666368996500141698551292648793437904701949116172833279129820169660245652549973441512547413987634020379068628729860
1029 2(2204–1) 51422017416287688817342786954917203280710495801049370729644030
1030 2515–1 107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672767
1031 25(214–1) 524256
1032 2258–1 463168356949264781694283940034751631413079938662562256157830336031652518559743
1033 2(2230–1) 3450873173395281893717377931138512726225554486085193277581262111899646
1034 22(244+1)(2132–1) 383123885216493992661069696849238951879490044967256060
1035 22(236–1) 274877906940
1036 2240–1 1766847064778384329583297500742918515827483896875618958121606201292619775
1037 23.3(2344–1)/(286–1) 11116040566782354760662814704505496110090998998996529800039472957086865498832920
1038 2519+1 1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764289
1039 24(212–1) 65520
1040 22(2346–1)/3 191124884665839292634235074608507245066380415764023426978132403282243573007373734005834879425843807212884
1041 2(2260–1)/41 90374313551076054964738329762878367104991207543914586567381528981785857279950
1042 2444–1 45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788415
1043 24(228+1)(284–1) 83076750046042251877833005697335280
1044 2180–1 1532495540865888858358347027150309183618739122183602175
1045 2(2261+1) 7410693711188236507108543040556026102609279018600996098525285376506440296955906
1046 22(2348–1) 2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554620
1047 23.3(265–1) 885443715538058477544
1048 2262–1 7410693711188236507108543040556026102609279018600996098525285376506440296955903
1049 23(2120–1) 10633823966279326983230456482242756600
1050 2350–1 2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554623
1051 22.3(2131–1) 32667107224410092492483962313449748299764
1052 22(212+1)(2108–1) 5318210057354297198522360865203666940
1053 2(280–1) 2417851639229258349412350
1054 (2420–1)/3 902561749388286087102348367234076726379048527140565291396640488481322040301310424166658335320357935578577868151498558538077525
1055 27(210–1) 130944
1056 230–1 1073741823
1057 2.3(2253–1) 86844066927987146567678238756515930889952488499230423029593188005934847229946
1058 22(2176–1) 383123885216472214589586756787577295904684780545900540
1059 22(252–1) 18014398509481980
1060 2530+1 3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261825
1061 23(229+1)(287–1) 664613999130397975737283800744329208
1062 2531+1 7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523649
1063 23(236–1) 549755813880
1064 22.17(2140–1) 94778167093755148351526802658755536400416700
1065 2(260–1) 2305843009213693950
1066 2240–1 1766847064778384329583297500742918515827483896875618958121606201292619775
1067 24(244–1) 281474976710640
1068 2356–1 146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495935
1069 2(2212–1) 13164036458569648337239753460458804039861886925068638906788872190
1070 22(248–1) 1125899906842620
1071 24(233+1) 137438953488
1072 2252–1 7237005577332262213973186563042994240829374041602535252466099000494570602495
1073 23(2178–1) 3064991081731777716716694054300618367237478244367204344
1074 2280–1 1942668892225729070919461906823518906642406839052139521251812409738904285205208498175
1075 22.3(2134+1) 261336857795280739939871698507597986398220
1076 22(2358–1) 2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934972
1077 2(2210–1) 3291009114642412084309938365114701009965471731267159726697218046
1078 2492–1 12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560895
1079 25.17(236–1)/3 12461131781280
1080 2253–1 14474011154664524427946373126085988481658748083205070504932198000989141204991
1081 2(2270–1)/9 421586131125375232404397115196076151615105650835967778049438456974588603560158094
1082 22(2342–1) 35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852412
1083 22(2135+1) 174224571863520493293247799005065324265476
1084 2120–1 1329227995784915872903807060280344575
1085 23(2180–1) 12259964326927110866866776217202473468949912977468817400
1086 (2543+1)/3 9597682761692152283329148816396761298922020519044088817281611888238586838765840790013953463688300495253164609351511242929510967585054506003218165719179016224287403
1087 26(28–1) 16320
1088 22(255+1)(2165–1) 6739986666787660135738963350110481198480944693319225521047192207356
1089 2(236–1) 137438953470
1090 2545–1 115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448831
1091 24(224–1) 268435440
1092 2182–1 6129982163463555433433388108601236734474956488734408703
1093 2(2273+1) 30354201441027016733116592294117482916287606860189680019559568902170379456331382786
1094 22(272–1) 18889465931478580854780
1095 23(268–1) 2361183241434822606840
1096 2274–1 30354201441027016733116592294117482916287606860189680019559568902170379456331382783
1097 23(2120–1) 10633823966279326983230456482242756600
1098 2156–1 91343852333181432387730302044767688728495783935
1099 22(240–1) 4398046511100
1100 22(2732–1)/(2183–1) 7371020360979572953596786290992712677572111758625860212273504831357335998511872759508786539120789512874960306932066980589818377002128727005988388734629924346303348740
1101 2(2252–1) 14474011154664524427946373126085988481658748083205070504932198000989141204990
1102 258–1 288230376151711743
1103 26(222–1) 268435392
1104 248–1 281474976710655
1105 2(278–1) 604462909807314587353086
1106 22(220+1)(2180–1) 6427758307018124565723281802752759011325546450087660071419900
1107 22(246–1) 281474976710652
1108 2554+1 58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801985
1109 23(272–1) 37778931862957161709560
1110 2200–1 1606938044258990275541962092341162602522202993782792835301375
1111 23(269+1) 4722366482869645213704
1112 22(2312–1) 33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608380
1113 2.3(2278+1) 2914003338338593606379192860235278359963610258578209281877718614608356427807812747270
1114 2296–1 127314748520905380391777855525586135065716774604121015664758778084648831235208544136462335
1115 24(210+1)(230–1) 17609365897200
1116 2558–1 943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831743
1117 2(2168–1)/377 1984851030009077703236834573874633703087102021230
1118 22(2372–1) 38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646780
1119 25(212–1) 131040
1120 (29+1)(2261–1) 1900842936919782664073341289902620695319280068271155499271735699073901936169188863
1121 23(280–1) 9671406556917033397649400
1122 2561+1 7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653953
1123 22(270–1) 4722366482869645213692
1124 22(2100+1)(2300–1) 10328999512347634358623676688020195641224161115661967834076274938806796361642028523521125969847366450029748428728910741500
1125 2.3(2281–1) 23312026706708748851033542881882226879708882068625674255021748916866851422462501978106
1126 (211–1)(2231+1) 7063937385940142036439472625040535550583710033016390639208843543058581503
1127 25(246–1) 2251799813685216
1128 2282+1 7770675568902916283677847627294075626569627356208558085007249638955617140820833992705
1129 2(228–1) 536870910
1130 22(2168–1) 1496577676626844588240573268701473812127674924007420
1131 22(294–1) 79228162514264337593543950332
1132 2510–1 3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521023
1133 23.65(254–1) 9367487224930631160
1134 2452–1 11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834495
1135 24.3(235–1) 1649267441616
1136 22(2378–1) 2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394172
1137 2(2284–1) 62165404551223330269422781018352605012557018849668464680057997111644937126566671941630
1138 2264–1 29642774844752946028434172162224104410437116074403984394101141506025761187823615
1139 24(272–1) 75557863725914323419120
1140 2162–1 5846006549323611672814739330865132078623730171903
1141 2(2114–1) 41538374868278621028243970633760766
1142 22(214+1)(242–1) 288247968337690620
1143 23(260–1)/305 30240564055261560
1144 276–1 75557863725914323419135
1145 23(2190–1) 12554203470773361527671578846415332832204710888928069025784
1146 2360–1 2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934975
1147 22.3(220–1)(260+1) 14507096000317494826893300
1148 22(2382–1)/3 13134002065464826404093013366714537935026579756821815555982764468081907257165736870471422084961638546935542663435604
1149 2(2220–1) 3369993333393829974333376885877453834204643052817571560137951281150
1150 2575–1 123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349567
1151 29.3(23–1) 10752
1152 (2288–1)/3 165774412136595547385127416048940280033485383599115905813487992297719832337511125177685
1153 2.3(272+1) 28334198897217871282182
1154 22(2120–1) 5316911983139663491615228241121378300
1155 22(2136–1) 348449143727040986586495598010130648530940
1156 2264–1 29642774844752946028434172162224104410437116074403984394101141506025761187823615
1157 23(296–1) 633825300114114700748351602680
1158 2360–1 2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934975
1159 23.3(214+1) 393240
1160 22(27+1)(263–1) 4759259971017064316412
1161 2(2246–1) 226156424291633194186662080095093570025917938800079226639565593765455331326
1162 2166–1 93536104789177786765035829293842113257979682750463
1163 24.3(296–1)/(224–1) 226673604688542657675312
1164 2232–1 6901746346790563787434755862277025452451108972170386555162524223799295
1165 2(2260–1)/11 336849714144919841232206501843455731936785409936408913569331153477565468043450
1166 22(2776–1)/(2194–1) 63316582777114760719488645381029680648993625369910231018002664088178258873941743854167407862961744620650313673646880462085448941162796352603453100069059943225350069285998821380
1167 24(218–1) 4194288
1168 9(2249–1) 8141631274498794990719834883423368520933045796802852159024361375556391927799
1169 23(224–1) 134217720
1170 (2585+1)/3 42211055184743173812992430254019787099329083579940154012000094906521126418181438663733999114452146344891335923373421113915966299188352206501127877137389767324434222446711319211
1171 22.3(2146+1) 1070435769529469910793714477087121352287059980
1172 22(2176–1) 383123885216472214589586756787577295904684780545900540
1173 2.3(2293–1) 95486061390679035293833391644189601299287580953090761748569083563486623426406408102346746
1174 2460–1 2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630975
1175 25(284–1)/(221–1) 295148045916908290080
1176 2265–1 59285549689505892056868344324448208820874232148807968788202283012051522375647231
1177 2(2180–1) 3064991081731777716716694054300618367237478244367204350
1178 22(265+1)(2195–1) 7410693711188236507309410296088399887052024280143641423840413176776699724955644
1179 22(2116–1) 332306998946228968225951765070086140
1180 2236–1 110427941548649020598956093796432407239217743554726184882600387580788735
1181 23.3(298+1)(2196+1)/29 26340982452601113184505763212273352326230659759932380590588690286733712457873601182446840
1182 2312–1 8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652095
1183 25.7(29+1) 114912
1184 22(2312–1) 33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608380
1185 2(2148–1) 713623846352979940529142984724747568191373310
1186 2593–1 32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153791
1187 24.33(245–1) 18577348462902768
1188 2140–1 1393796574908163946345982392040522594123775
1189 2(248–1) 562949953421310
1190 22(288–1) 1237940039285380274899124220
1191 23.3(274+1) 453347182355485940514840
1192 2298–1 509258994083621521567111422102344540262867098416484062659035112338595324940834176545849343
1193 23(299+1)(2198+1)/9.5 45267466140766357472632126409168711936444141649267114996018396559151702637077961748151592
1194 2476–1 195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643135
1195 22(2132–1) 21778071482940061661655974875633165533180
1196 22(236–1) 274877906940
1197 2.3(2299–1) 6111107929003458258805337065228134483154405180997808751908421348063143899290010118550192122
1198 2360–1 2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934975
1199 26.3(240–1)/(210–1) 206359953600
1200 2150+1 1427247692705959881058285969449495136382746625

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