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Difference between revisions of "Williams prime PM remaining"

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*The highest ''n''-value for all listed bases is ''n'' = 1000, otherwise the search range is given in brackets.
 
*The highest ''n''-value for all listed bases is ''n'' = 1000, otherwise the search range is given in brackets.
  
The data file can be found [[:File:Williams_prime_PM_remaining.csv|here]].<!--
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The data file can be found [[:File:Williams_prime_PM_remaining.csv|here]].
{{#get_web_data:url=https://www.rieselprime.de/z/images/5/5b/Williams_prime_PM_remaining.csv|format=csv with header|delimiter=;|data=b=Base,n=n-values}}
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{{#get_web_data:url=https://www.rieselprime.de/z/images/3/39/Williams_prime_PM_remaining.csv|format=csv with header|delimiter=;|data=b=Base,n=n-values}}
 
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{{!}} style="text-align:left" {{!}} {{{n}}}
 
{{!}} style="text-align:left" {{!}} {{{n}}}
 
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[[Category:Williams prime PM| ]]
 
[[Category:Williams prime PM| ]]

Revision as of 13:41, 21 June 2019

Description

Here are all remaining data given not yet available as separate page for Williams primes of the form (b+1)bn-1 for b < 1025.

  • The highest n-value for all listed bases is n = 1000, otherwise the search range is given in brackets.

The data file can be found here.

Base n-value
111 8, 21, 25, 80, 148, 168, 384, 503, 620
112 36, 56, 166
114 1, 2, 10, 30, 50, 194, 326, 506
115 1, 7, 25, 75, 113, 141, 145, 303
116 3, 14, 15, 24, 32, 116, 189, 270, 613
117 136, 283
118 9, 31, 791
119 2, 9, 180, 231, 275, 357
120 1, 5, 113, 641
121 2, 31, 179, 191, 232
122 3, 6
123 3, 9, 85, 523
124 20, 38, 374, 889
125 1, 2, 9, 10
126 1, 3, 4, 6, 48, 70, 92, 127, 137, 730
127 2, 16, 24, 111
129 4, 15, 384
130 1, 14, 15, 327
131 1, 11, 20, 109, 263, 521, 581
132 2, 11, 40, 842
133 20, 21, 44, 231, 469, 551
134 1, 26, 97, 533
135 3, 85, 208, 359, 613
136 52, 79
137 8, 68, 78, 79, 338
138 1, 4, 143
139 2, 3, 12, 86, 147
140 1, 2, 4, 7, 10, 59, 63, 171, 360, 379, 534
141 1, 2, 5, 26, 35, 37, 38, 49, 62, 187, 638
142 7, 36, 55
143 921
144 1, 2, 13, 215, 269, 413
145 1, 40, 136, 389
146 7, 10, 58, 280
147 2, 6, 11, 16, 182
148 1, 3, 4, 99
149 1, 6, 8, 14, 36, 664
150 12, 89, 563
151 6, 594, 986
152 110, 115, 156, 838, 876
153 1, 144, 433, 840
154 1, 7, 381, 493, 516, 523, 994
155 1, 2, 3, 37, 171, 440, 954
156 6, 8, 18, 76
157 23, 94
159 1, 2, 8, 14, 18, 49, 199, 360, 396
160 1, 6, 20, 58, 518, 531, 569, 576
161 2, 6, 242, 446, 697
162 4, 7, 46, 640
163 1, 23, 41, 72, 277, 612
164 1, 9, 34, 174, 319
165 2, 7, 68, 94, 97, 126, 169, 858
166 6, 18, 25, 112, 242, 529, 623
167 4, 11, 60, 624
168 25, 105
169 1, 6, 21, 177, 659
170 5, 7, 10, 16, 109, 428
171 1, 5, 6, 18, 58, 82, 495
172 2, 6, 23, 27, 79
173 53, 193
174 1, 2, 37, 45, 235, 365, 581
175 11, 36, 49
176 1, 19, 26, 49, 175
177 38
178 5, 81, 88, 271, 288
179 2, 4, 95, 139
180 1, 10
181 1, 3, 25, 63, 98, 369
182 4, 15, 30, 35, 50, 58, 78, 235, 323
183 3, 4, 144, 352, 757
184 1, 2, 17, 41, 111, 220, 357
185 9, 11, 17, 81
186 1, 17
187 18, 359
188 1, 3, 32, 37, 91, 328, 352
189 7, 9, 16, 29, 55, 65, 421
190 2, 8, 14, 15, 23, 25, 38, 40, 88, 95, 120, 407, 587, 700
191 1, 11, 17, 891
192 4, 6, 10
193 1, 3, 79, 84, 159, 329
194 6, 277, 340
195 1, 157
196 1, 5, 120, 144, 272
197 4, 118, 395
198 11, 20, 28, 43, 959
199 1, 3, 9, 27, 61, 231, 781
200 320, 365, 456
201 2, 82, 88, 92, 128
202 22
203 1, 3, 12, 788, 808
204 2, 6, 11, 18, 26, 36, 96, 342, 735
205 6, 18, 324, 496
206 1, 4, 24, 31, 72, 205, 261
207 2, 12, 54, 330
209 1, 4, 6, 65, 164, 635
210 25, 36, 39, 69, 142, 325, 508, 638
211 4, 604, 696
212 2, 12
213 17, 372
214 10, 123, 140, 184, 495
215 1, 20, 26, 70, 184
216 2, 9, 38, 46, 59, 79, 85, 948, 984
217 40
218 1, 11, 12
219 1, 2, 8, 26, 45, 79, 431, 629
220 1, 53, 85, 112, 358, 389, 979
221 4, 5, 44, 51, 53, 205, 342
222 23, 166
223 3, 4, 29, 69, 105, 155
224 35
225 1, 12, 104
226 2, 4, 11, 40, 336
227 7, 18, 24, 39, 136, 462
228 4, 17, 21, 100, 144, 175, 224, 405
229 4, 18, 28, 86, 94, 206, 558
230 1, 4, 6, 9, 38, 57, 111, 170, 863
231 1, 8, 27, 482, 584, 842
232 468, 970
233 1, 27, 213, 257
234 3, 4
235 2, 5, 6, 425
236 1, 2, 46, 78, 131, 305, 475, 522
237 12, 42
238 5, 7, 60, 225, 363, 517
239 73, 89, 915
240 1, 3, 4, 13, 22, 33, 36, 59, 67, 80, 636, 863
241 1, 150, 239
242 6, 11, 42, 96, 198, 484
243 4, 37, 89
244 1, 5, 36, 108, 145, 154, 189, 339, 643
245 12, 20, 48, 155, 175, 299, 305, 412
246 1, 9
247 3, 8, 164, 227, 354, 467, 703
248 1, 31
249 4, 35, 145, 187, 269
250 2, 77, 193, 361
251 4, 23, 499, 675
252 4, 6, 32, 71
253 7, 63
254 2, 8, 9, 19, 30, 112, 461, 782
255 17, 45, 79, 325, 767
257 44, 559, 851
258 1, 61, 64, 115, 168, 240, 357
259 1, 4, 75, 131
260 5, 6, 19, 28, 87, 242
261 3, 21, 23, 304, 352
262 7, 19, 611
263 1, 5, 7, 12
264 1, 2, 4, 6, 19, 559
265 1, 16, 25, 26
266 6, 13, 25, 44, 50, 118
267 2, 20, 360, 534, 734
268 1, 25, 45, 397, 981
269 7, 11, 12, 155, 304, 520
270 13, 25, 41, 133, 246, 569
271 38, 660
272 3, 252
273 3, 4, 5, 16, 80
274 2, 4, 28, 61, 148, 590, 920
275 2, 19, 21, 96, 117
276 6, 7, 90, 109
277 3, 14, 19, 34, 38, 214, 411
278 4, 12, 49, 217, 708
279 9, 220, 295, 524
280 2, 5, 6, 12, 146, 936, 993
281 1, 2, 20, 83, 793
282 778
283 12, 35
284 72, 535, 928
285 1, 2, 4, 6, 7, 53, 73, 286, 385, 881
286 3, 15, 24, 33, 43, 56, 165, 705
287 2, 66, 96, 320
288 1, 3, 41, 189
289 2, 8, 14, 42, 49, 85
290 1, 379
291 2, 4, 5, 16, 63, 64, 112, 272, 442, 486
292 496, 823
293 17, 57, 73, 349, 585, 848
294 1, 2, 15, 46, 180, 286
295 9, 10, 14, 24, 382, 434, 950
296 1, 4, 9, 14, 27, 30, 58, 100, 101, 424
297 12, 28, 732
298 1, 3, 9, 41, 76, 720
299 16, 274
300 7, 9, 12, 28, 29, 54, 80, 648, 963
301 1, 4, 5, 10, 24, 654
302 12, 264
303 1, 3, 5, 12, 364, 661
304 7, 16, 17, 35, 267
305 1, 7, 11, 25, 254
306 1, 4, 6, 7, 16, 53, 78, 241, 598
307 30, 63, 152, 676
308 4, 7, 79, 823
309 1, 2, 6, 13, 57, 60, 165, 190, 224, 869
310 5, 7, 14, 40, 77, 109, 117
311 5, 27, 28, 85, 148, 757
312 2, 4, 195, 656
313 19, 23, 40, 80, 725
314 1, 38, 101, 148
315 2, 7, 8, 149, 248, 357
317 2, 7, 56
319 1, 2, 6, 20, 29, 91, 193, 239
320 215, 235, 294, 553, 877
321 199, 475
322 2, 8, 34, 82, 122
323 1, 11, 905
324 42, 76, 115, 171, 203, 206, 283
325 53
326 2, 5, 103
327 2, 220
328 84, 92
329 3, 16, 92, 188, 389
330 1, 4, 6, 8, 14, 58, 70, 158, 623
331 1, 2, 8, 9, 45, 72, 133, 178, 422, 465
332 4, 7, 118
333 49, 200, 244, 283, 285, 320, 453
334 2, 14, 19, 31, 55, 160, 202
335 1, 6, 16, 22, 24, 34, 144, 152, 171, 201
336 8, 24, 25, 394
337 2, 12, 15, 119
338 3, 9
339 1, 7, 10, 16, 81, 144, 679
340 11, 24, 76, 119, 174
341 2, 16, 20
342 26, 496
343 1, 53, 175, 220, 225, 760
344 2, 3, 8, 9, 10, 85, 340
345 19, 32, 36, 284
346 3, 29, 178, 259, 295
347 4, 220
348 13, 20, 120
349 1, 10, 25, 125, 485
350 1, 5, 7, 29, 81, 96, 165, 703, 734
351 1, 2, 15, 113, 150, 624, 658, 814
352 4, 16, 32, 74, 723
353 69, 264, 544
354 1, 8, 17, 25, 27, 41, 164, 263, 384
355 137, 353, 925
356 9, 100, 220, 335, 336
357 3, 6, 12, 116, 712
358 1, 216, 465
359 35, 65, 229, 359
360 1, 59, 77, 367
361 1, 5, 7, 9, 67, 72, 97, 207, 241
362 2, 23, 98, 104
363 7, 61, 263, 655
364 1, 3, 26, 31
365 13, 14, 21, 93
366 3, 13, 38, 105, 208
367 7, 12, 75, 84, 142, 174, 232, 316, 462
368 28, 56, 239, 268
369 23, 74, 349, 352, 359
370 2, 12, 57, 268
371 6, 7, 34, 37, 60, 105, 149, 489
372 2, 43, 86, 88
373 1, 17, 125
374 1, 9
375 5
376 20, 680
377 50
378 1, 16, 32, 52
379 2, 4, 22, 28, 358, 502
380 1, 2, 3, 4, 15, 23, 250, 461
381 90, 739, 753
382 12, 42, 164
383 19, 36
384 2, 4, 7, 9, 17, 21, 25, 26, 54, 365, 917
385 1, 11, 30, 162, 360
386 1, 7, 11, 14, 16, 18, 45, 239, 651
387 6, 10, 16, 136
388 3, 4, 457
389 14, 186
390 7, 36, 50, 805
391 1, 3, 5, 23, 95, 291
392 7, 22, 278, 678
393 1, 4, 81, 469
394 2, 3, 13, 204, 665
395 1, 7, 36, 333, 370
396 1, 28, 59, 250, 728, 949
397 2, 8, 10, 19, 287, 614
398 3, 5, 37, 527, 661
399 15, 45, 85, 447
400 6, 7, 27, 476
401 1, 4, 93, 164, 240, 303
402 6, 23, 119
403 4, 80, 376, 637
404 5, 12, 517, 710
405 1, 5, 12, 16, 288
406 5, 11, 14, 58, 95, 112, 120, 153, 201, 410, 809
407 2, 3, 18, 31, 114, 232, 279, 631
408 1, 3, 12, 39, 584, 760
409 4, 9, 18, 87
410 2, 132
411 2, 6, 7, 12, 14, 355, 766
412 380
413 3, 9, 395
414 3, 4, 8, 15, 24, 220, 399, 440
415 3, 4, 40, 93, 97, 116, 195, 202, 827
416 10
417 2, 4, 76, 148
418 1
419 1, 14, 82, 354, 492
420 1, 3, 15, 89, 648
421 19, 72, 294, 337, 532, 779
422 6, 491
423 1, 5, 49, 167
424 2, 3, 55, 119, 161
425 12, 24, 74, 112, 206
426 13, 27, 30, 63, 90, 286, 902
427 4, 22
428 1, 65, 129
429 5, 87, 139, 391
430 3, 7, 25, 364
431 1, 5, 7, 9, 10, 15, 48, 70, 73, 111
432 8, 23, 59, 140, 167
433 1, 31, 47, 96, 335
434 3, 24, 30, 42
435 2, 9, 10, 200, 213, 346
436 2, 34, 205, 222, 272, 442, 674
437 4, 11, 43, 115, 214, 535
438 13, 19, 25, 47, 48, 211, 336, 428
439 6, 84, 326, 486, 508
440 17
441 3, 9, 15, 49, 116, 402, 932
442 3, 6, 8, 19, 98, 667
443 3, 19, 184
444 885
445 1, 16, 53
446 26, 34, 43, 251, 368, 461, 508
447 2, 3, 10, 15, 26, 35, 115, 184, 260, 332, 399, 626
448 1, 4, 49, 52, 93
449 1, 8, 22, 46, 408, 422, 571
450 1, 7, 22, 111, 151
451 3, 4, 6, 46
452 4, 8, 12, 23, 26, 90, 215, 420
453 1
454 3, 5, 29, 639
455 1, 2, 10, 29, 61, 74, 152
456 1, 2, 5, 8, 12, 25, 84, 151, 207, 360, 366, 679
457 3
458 24, 39
459 2, 3, 6, 13, 72, 90
460 23, 78
461 1, 2, 6, 22, 30, 86, 236, 443, 639
462 10, 38, 211, 270
463 1, 3, 4, 164
464 5, 28, 66, 84
465 37, 775, 784
466 20, 21, 81, 96, 812
467 6, 23, 191, 270, 472
468 1, 4, 36, 181, 196, 209, 539
469 8, 23, 63, 89, 398
470 2, 4, 33, 35, 67, 89, 290
471 1, 11, 13, 14, 17, 33, 35, 227
472 12
473 1, 8, 85, 172, 296, 744
474 1, 13, 22, 142, 594
475 1, 17
476 18, 22, 44, 343, 964
477 2, 424
478 1, 7, 16
479 5, 13, 24
480 18, 28, 55, 165, 336, 775, 778
481 1, 34, 41, 71, 647, 746, 775
482 10, 15, 479
483 145, 275
484 5, 40, 41, 681, 940
485 5, 9, 13, 136, 139
486 1, 5, 408
487 7, 262, 315
489 3, 4, 5, 6, 22, 30, 61, 137, 149, 154, 326
490 1, 98, 101
491 7, 8, 16, 18, 19
492 14, 51, 204, 335, 592
493 3, 119, 396
494 1, 2, 21, 23, 38, 49, 119, 183, 297, 330, 361, 709
495 1, 2, 6, 41, 77, 90
496 1, 12, 19, 40, 363, 480
497 56, 539
498 44
499 1, 2, 5, 10, 300, 391, 472, 564
500 1, 11, 120, 279
501 1, 4, 9, 13, 25, 30, 49, 138, 493, 802
502 2, 115, 136
504 1, 2, 7, 28, 32, 104, 124, 233, 465
505 4, 14, 40, 587
506 1, 2, 10, 64, 214, 261, 376, 426
507 15, 51, 310, 567, 711
508 7
509 2, 5, 12, 95, 132, 235, 302
510 1, 6, 32, 51, 85, 402
511 1, 2, 8, 55, 266, 635
513 3, 16, 23, 37, 63, 268, 448
514 4, 12, 249
515 1, 2, 17, 51, 175, 331, 342, 460, 496, 862, 963
516 2, 6, 31, 457, 499, 658
517 38, 39, 427, 507
518 1, 4, 17, 21, 144
519 1, 7, 9, 176, 833, 925
520 24, 25, 269
521 7, 9, 39, 42, 51, 130
522 67, 71, 195, 228, 792
523 5, 293
524 3, 6, 33, 146, 683, 819
525 3, 9, 10, 61
526 2, 11, 54, 106, 134, 324, 474, 686
527 90, 296
528 1, 347, 551, 589, 749
529 3, 5, 26, 63, 68, 90, 310, 656, 975
530 1, 46, 410
531 2, 17, 53, 60, 147, 193, 240, 363
532 2, 164
533 29, 68, 177
534 11, 30, 144
535 5, 17, 48
536 15, 243
537 548, 726
538 4, 16, 20, 164, 259, 288
539 4, 16, 42, 249, 342
540 7, 34, 155, 253, 276, 622
541 1, 3, 4, 5, 8, 14, 239, 448
542 18, 19, 83
543 4, 15, 124, 180, 207, 367
544 1, 2, 16, 137, 397, 824
545 5, 6, 23, 48, 55, 115, 126
546 3, 18, 27, 245
547 6, 35, 76, 255, 766
548 1, 3, 4, 5, 13, 36, 103, 493
549 1, 3, 4, 5, 11, 87, 564
550 1, 23, 254, 658, 885
551 1, 8, 38, 40, 76, 192, 475, 583
552 44, 48, 98, 103
553 13, 317, 768
554 2, 5, 32, 86, 500, 807
555 7, 146, 666
556 6, 23, 63, 419
557 3
558 76, 215, 336, 520
559 41, 187, 307, 560
560 1, 18, 33, 502, 515
561 1, 23, 54, 60, 755
562 15, 882
563 5, 61, 75, 247
564 10, 23, 118
565 31, 106, 514
566 8, 10, 107, 155, 585
567 15, 318, 735
568 4
569 1, 30, 34
570 11, 13, 65, 79, 82, 288
571 1, 2
572 6, 288
573 1, 16, 23, 69
574 4, 6, 401
576 2, 7, 11, 27, 45, 81, 189
578 1, 21, 79, 315
579 2, 23, 26
580 2
581 1, 8, 91, 133, 239, 306, 559
582 3, 10, 120, 756, 763
583 9, 64, 757
584 4, 67, 99, 435
585 6, 17, 65, 76, 136, 203, 216, 227, 320, 400, 550
586 4, 37, 420
587 70, 527
588 1, 620
589 1, 2, 284, 312, 423
590 4, 7, 14, 85, 206, 335, 639, 938, 959
591 1, 11, 60, 69, 277, 466, 970
592 2, 6, 11, 30, 479, 660
593 13, 944, 961
594 1, 3, 4, 6, 37, 108
595 1, 12
596 1, 494
597 3, 260, 403
598 1, 5, 55, 89, 647
599 7, 9, 67, 107
600 2, 4, 10, 174, 304
601 6, 37, 325
602 7, 14, 42, 142, 159, 191
603 5, 16, 63, 248
604 1, 6, 20
605 12, 526
606 1, 17, 25, 40, 143, 194
608 3, 5, 17, 109, 240, 265, 837
609 2, 4, 9, 11, 16, 262, 561
610 1, 2, 72
611 2, 3, 10, 140, 293, 334
612 3, 34, 58, 135
613 55, 120
614 2, 8, 40
615 17, 33, 431
616 1, 2, 3, 4, 35, 124, 171, 450
617 2, 15, 791
618 1, 357
619 9, 12, 37
620 5, 7, 70, 106, 262, 342
621 8, 36, 59, 162, 280, 691
622 215, 859
623 7, 605
624 1, 7, 143, 337
625 1, 6, 9, 10, 33, 205
626 12, 149, 216, 475, 731, 813
627 503, 656
628 19, 283
629 1, 7, 716
630 12, 33, 152, 628
632 3, 14
633 1, 11, 619, 948
634 4, 10, 156, 889
635 2, 37, 300
636 5, 9, 19, 21, 26, 27, 40, 123, 175, 208, 783
637 18, 28, 103, 108, 119
638 15, 23, 24, 231, 808
639 1, 2, 7, 9
640 1, 106, 114, 285, 286
641 23, 38, 187, 233, 303
642 10, 26, 302
643 7
644 1, 94, 95, 114, 239, 458, 475
645 2, 9, 16, 96, 154, 334, 400
646 1, 15, 24, 89, 109, 125, 221, 401
647 22, 126, 414
648 1, 7, 8, 17, 451
649 32, 46, 60, 79, 824
650 2, 7, 49, 63, 76, 216, 597
651 1, 9, 18, 21, 531, 611
652 38, 207
653 7, 17, 20, 192, 335, 391
654 1, 5, 120
655 1, 16, 93, 320, 612
656 16, 38, 204
657 116, 580
658 4, 16, 19, 24, 557, 673
659 1, 2, 15, 22, 76, 102, 435, 894
660 11, 13, 43, 116, 223, 301, 405, 525
661 3, 31, 237, 251
662 6, 16, 170
663 4, 268
664 5, 21, 40, 61, 76, 192, 726
665 5, 49, 69, 87, 218, 274, 663
666 3, 6, 31, 143
667 2, 16, 176, 744, 799
668 1, 5, 444
669 128, 285, 873
670 1, 5, 11, 12, 23, 64, 366
671 98, 226
672 2, 3, 24, 316
673 1, 5, 27, 55, 635
674 19
675 7, 31, 91
676 1, 2, 10, 11, 16, 17, 100, 562
677 2, 4, 6, 184, 286, 642
678 3, 5, 149, 840
679 10, 66
680 2, 4, 11, 23, 902
681 5, 7, 81, 302, 912
682 16
683 1, 8, 9, 95, 149, 575
684 5, 13, 458
685 3, 4, 597, 907
686 1
687 7, 8, 14, 16, 28, 792
688 25, 193
689 3, 4, 18, 23, 127, 163
690 2, 11, 14
691 1, 2, 10, 25, 29, 538
692 8, 20, 22, 59, 346, 579
693 1, 3, 5, 12, 468
694 5, 41, 45, 127, 310, 916
695 1, 3, 6, 15, 46, 223, 987
696 90
697 11, 80
698 8, 295, 349, 364, 599
699 1, 4, 8, 10, 13, 18, 182, 316, 669
700 10, 35, 207, 487
701 4, 19, 441
702 3, 8, 15, 16, 44, 79, 130, 263
703 5, 36, 51, 147, 244
704 3, 5, 7, 13, 14, 65, 75, 84
705 1, 4, 29, 70, 457, 902
706 1, 78, 228, 271, 303, 358, 818
707 8, 12, 18, 23, 47
708 1, 4, 59
709 1, 2, 238
710 22, 34, 64
711 3, 30, 107, 398, 456, 563
712 80, 499
713 11, 20, 23, 37, 43, 57, 59, 149, 553
714 2, 4, 12, 28, 72, 697
715 1, 15, 18, 22, 37, 90, 120, 160
716 1, 2, 3, 4, 7, 10, 386
717 3, 27, 103
718 3, 5, 15, 40, 67, 167
719 4, 10, 179, 259
720 1, 22, 38, 339, 364
721 4, 31, 70, 83, 232, 340, 719
722 7, 106, 122, 178
723 3, 5, 27, 425, 477, 599
724 1, 22, 73, 249, 352, 426, 576, 879
725 13, 15, 252, 448, 555
726 22, 206, 545
727 14, 20, 75, 362, 491, 614
728 1, 7, 265
729 13, 63, 142
730 6, 420
731 7
732 6, 331
733 7, 109
734 2, 3, 136, 314
735 6, 12, 43, 506, 822
736 2, 51, 218
737 2, 7, 44, 382
738 16, 24, 327
739 1, 20, 24, 60, 180, 284, 681
740 2, 8, 10, 19, 85, 89, 150, 350, 397
741 5, 6, 15, 16, 50, 215, 505
742 2, 6, 64, 643
743 1, 13, 291
744 6, 15, 18, 146
745 3, 17, 161, 240, 486
746 1, 6, 18
747 588
748 35, 60
749 6, 9, 72, 195, 245
750 1, 3, 44, 50, 94, 140, 767
751 7
752 11, 754
753 1, 3, 9, 40, 49
754 1, 20, 46, 56, 65, 90, 126, 770, 942
755 26, 30, 112
756 2, 21, 57, 133, 202, 602
757 7, 124
758 37, 340, 688
759 3, 18, 345
760 303
761 1, 7, 60, 913
762 4, 20, 78, 82, 144, 614
763 1, 29, 96, 147, 211
764 36, 128
765 1, 2, 11, 23, 62, 103, 380
766 18, 119, 477
767 3, 4, 16
768 11, 47, 216, 280, 432, 696
769 1, 3, 10, 36, 39, 71, 84
770 4, 14, 35, 37, 50, 226, 233, 352, 418
771 3, 4, 8, 12, 14, 19, 21, 54, 112, 352
772 8, 11, 470, 516
773 4, 12, 372
774 67, 167
775 8, 11, 82, 383
776 1, 4, 6, 84, 103, 403, 546
777 6, 255, 538, 539, 614
778 3, 225
779 1, 2, 238
780 1, 3, 10, 31
781 1, 7, 38, 485, 609, 749
782 47, 90, 172, 478, 487, 916
783 3, 13, 389, 915, 931
784 4
785 5, 22, 35, 111, 124, 755
786 1, 35, 40, 74, 168
787 11, 120, 534, 570, 659
788 149
789 4, 6, 92, 181, 389
790 23, 37, 65, 77, 157, 337
791 2, 3, 7, 74, 288, 345, 697
792 2, 4, 10, 23, 39, 50
793 7, 11, 17, 25, 39, 413
794 1, 6, 9, 149, 151, 190
795 7, 34
796 2, 20, 22, 49, 196
797 30, 40, 78, 114, 704
798 1, 3, 9, 13, 21, 51, 664, 800
799 12, 98, 180, 373, 428
800 91, 420, 943
801 11, 13, 21, 105, 106, 307, 391, 431
802 2, 11, 102
803 1, 49
804 1, 14, 23, 113, 136, 547
805 79, 163, 784
806 9, 119, 835
807 10, 55, 336
808 4, 5, 99, 629
809 1, 6, 13, 73, 329
810 6, 24
811 4, 21, 39, 329, 650
812 3, 30
813 8, 25
814 1, 27, 30, 40, 59, 192
815 1, 13, 16, 18, 27, 258, 718, 747
816 1, 19, 121
817 79
818 156
819 10, 66, 70, 719
820 5, 8, 13, 61, 241, 288, 394
821 7, 126, 795
822 3, 407
823 4, 5
824 2, 13, 18, 88, 156
825 1, 7, 120, 157
826 2, 6, 7, 9, 14, 17, 20, 998
827 3, 16
829 11, 47, 309
830 15
831 58, 176, 521
832 2, 7, 8, 63
833 1, 7, 13, 103, 332, 555
834 15, 34, 47, 478, 531, 809, 813
835 6, 19, 664, 881
836 11, 66, 955
837 2, 3, 40, 43, 115
838 1
839 2, 7, 18, 20, 68, 504
840 27
841 6, 13, 20, 570
842 2, 3, 8, 22, 40
843 55
844 2, 14, 45, 764, 790
845 1, 2, 6, 8, 751
846 7, 18, 22, 70
847 3, 11, 28
848 1, 16, 19, 51
849 5, 7, 16, 53, 316, 400
850 7
851 2, 79, 475, 847
853 53
854 3, 12, 75, 153, 168, 849
855 5, 6, 7, 130, 176, 576, 696
856 1, 2, 5, 76, 100, 149, 168, 261, 286, 319, 496, 836
857 19, 28, 30, 64, 504
858 8
859 86, 734
860 73, 177
861 2, 10, 435
862 4, 26, 39, 111, 146
863 1, 3, 9, 15, 509
864 3, 103
865 35, 328
866 2, 22, 112, 222
867 2, 4, 6, 90, 190
868 4, 24, 44, 220
869 24, 80, 112, 261, 687
870 11, 30, 47, 320, 461, 703
871 3, 4, 5, 9, 303
872 2, 3, 14, 32, 74, 87
873 1, 4, 16, 84
874 4, 10, 24, 195
875 8, 158
876 16, 45, 52, 139, 207, 342, 957
877 2, 34
878 17, 23, 237, 504
879 20, 30, 41, 69, 139, 477
880 4, 28, 29, 97
881 1, 4, 5, 12, 18, 61, 81, 194, 990
882 3, 14, 15, 158
884 1, 65
885 1, 53
886 11, 35, 53, 156, 169, 311
887 2, 38, 146, 216, 960
888 3, 7, 96, 393, 687, 817
889 1, 2, 27, 63, 69, 97, 392
890 1, 4, 28, 97, 288
891 6, 13, 30, 926
892 4, 22
893 3, 40, 59, 131, 313, 616, 643
894 2, 343
895 25, 29
896 5, 7, 10, 17, 19, 165, 191, 605
897 2, 23, 56, 168, 418
898 4, 23, 32, 377
899 835
900 3, 13, 46, 66, 299, 434, 920
901 1, 8, 10, 56
902 2, 6, 124, 259, 495
903 23, 51, 176, 279
904 7, 35, 424
905 3, 4, 8, 22, 130, 219, 647, 957
906 1, 16, 42, 47, 57
907 2
908 31, 71
909 4, 190, 368
910 2, 11, 47, 237
911 5, 6, 71, 107, 214, 415, 952
912 2, 115, 686
913 121, 840
914 2, 3, 17, 73, 177, 870
915 1, 6, 23, 50, 80, 235, 335
916 3, 8, 49, 93, 210, 242
917 24
918 5, 8, 39, 409
919 5, 6, 11, 16, 40, 42, 81, 373, 380, 406, 765
920 4, 95
921 1, 7, 11, 21, 72, 112
922 2, 6, 10, 42, 79, 374, 403
923 1, 3, 832
924 2, 38, 46, 451, 570
925 1, 3, 24, 28, 87, 331, 457, 843
926 10, 15, 16, 265
927 15, 19, 155
928 12, 176
929 14, 20, 23, 586
930 1, 6, 21
931 6, 8, 13
932 47, 110, 182
933 3, 56, 65, 109, 215, 343
934 747
935 16, 24, 54, 183
936 2, 248, 437
937 16, 676
938 7, 12, 237, 455
939 1, 9, 92, 94, 212, 911
940 32, 34, 46, 340, 402, 760
941 1, 4, 23, 166
942 78, 124, 148, 518
943 52
944 1, 26, 142, 222, 250
945 5, 15, 23, 59, 669
946 1, 2, 3, 25, 93, 416, 442
947 4
948 11, 25, 77, 137
949 2, 3, 7, 14, 70
950 1, 7, 11, 31, 85, 786
951 126, 241
952 3, 11, 92
954 3, 6, 43, 112
955 1, 3, 99, 606, 815
956 1, 11, 98, 138, 302, 452
957 2, 4, 78, 487
958 7, 16, 25, 124
959 9, 10, 19, 38, 614
960 15, 79
961 2, 14, 16, 102, 236, 544, 862
962 40, 79, 126, 688
963 1, 11, 24, 92, 525
964 146, 194, 576
965 1, 4, 5, 7, 41, 44, 994
966 1, 16, 23, 247, 393, 455
967 3, 6, 11, 103, 378, 543
968 1, 13
969 7, 33, 102, 105, 203
970 3, 155, 371, 397, 577, 700
971 98, 308, 418
972 6
973 3, 32
974 1, 10, 85, 199
975 3, 585
976 1, 3, 10, 61, 81
977 7, 12, 22, 34, 735
978 17, 44, 65
979 160, 180
980 2, 4, 7, 158
981 1, 3, 135, 304, 445, 771
982 18, 20, 62, 112, 128, 224, 874
983 16, 35, 87
984 1, 2, 7, 19, 23, 37, 48, 318, 402
985 24, 600
986 5, 387
987 122, 156
988 3, 11, 31, 164, 315
989 1, 2, 17, 127, 320, 343, 973
990 24, 36, 40, 90
991 7, 21, 27, 108, 705
992 6, 116, 476
993 263, 380, 465, 893
994 1, 7, 111
995 2, 8, 37, 265
996 1, 20, 29, 106, 236, 572, 946
997 3
998 1, 83, 319, 500, 789
999 2, 7, 284, 817
1000 1, 38, 264, 374, 429
1001 1, 9, 19, 43
1002 302
1003 4, 21, 329
1004 4, 147, 364
1005 1, 65, 171
1006 1, 2, 13, 28, 66, 108, 748
1007 83, 166, 900
1008 47
1009 62, 307, 927
1010 7, 13, 15
1011 4, 22, 111, 510
1012 2, 38, 128
1013 1, 16, 52, 376
1014 1, 6, 11, 55
1015 3, 5, 158, 267
1016 1, 4, 27, 51, 86, 90, 162, 182
1017 2, 14, 63
1018 19, 45
1019 4, 8, 9, 27, 79, 262
1020 395
1021 2, 13, 46, 177, 454
1022 3, 46
1023 1, 9, 77, 107