Williams prime PM remaining

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

Williams primes

Main	Williams prime

Type MM: (b-1)•bn-1

Category Table (214) least n-values remaining data wanted values

Type MP: (b-1)•bn+1

Category Table (189) least n-values remaining data wanted values

Type PM: (b+1)•bn-1

Category Table (128) least n-values remaining data wanted values

Type PP: (b+1)•bn+1

Category Table (110) least n-values remaining data wanted values