Description
Here are shown the least n-value ≥ 1 for any base b with 2 ≤ b ≤ 1024 which generates a Williams prime of the form (b+1)•bn-1.
History
- Any new found value will be displayed here.
Wanted values
Given here bases and known searched range:
- 575 [458000] RESERVED!
Data
The data file can be found here.
Base
|
n-value
|
2
|
1
|
3
|
1
|
4
|
1
|
5
|
1
|
6
|
1
|
7
|
4
|
8
|
1
|
9
|
1
|
10
|
1
|
11
|
1
|
12
|
2
|
13
|
1
|
14
|
2
|
15
|
1
|
16
|
1
|
17
|
4
|
18
|
3
|
19
|
1
|
20
|
1
|
21
|
1
|
22
|
2
|
23
|
7
|
24
|
1
|
25
|
2
|
26
|
1
|
27
|
2
|
28
|
1
|
29
|
2
|
30
|
1
|
31
|
1
|
32
|
2
|
33
|
4
|
34
|
2
|
35
|
1
|
36
|
2
|
37
|
2
|
38
|
1
|
39
|
1
|
40
|
2
|
41
|
1
|
42
|
8
|
43
|
3
|
44
|
1
|
45
|
1
|
46
|
1
|
47
|
2
|
48
|
1
|
49
|
2
|
50
|
1
|
51
|
5
|
52
|
3
|
53
|
1
|
54
|
1
|
55
|
1
|
56
|
1
|
57
|
3
|
58
|
3
|
59
|
1
|
60
|
1
|
61
|
5
|
62
|
2
|
63
|
1483
|
64
|
1
|
65
|
1
|
66
|
1
|
67
|
24
|
68
|
1
|
69
|
2
|
70
|
1
|
71
|
2
|
72
|
6
|
73
|
3
|
74
|
3
|
75
|
36
|
76
|
1
|
77
|
10
|
78
|
8
|
79
|
3
|
80
|
7
|
81
|
2
|
82
|
2
|
83
|
1
|
84
|
2
|
85
|
1
|
86
|
1
|
87
|
7
|
88
|
1704
|
89
|
1
|
90
|
3
|
91
|
9
|
92
|
4
|
93
|
1
|
94
|
1
|
95
|
2
|
96
|
1
|
97
|
2
|
98
|
24
|
99
|
25
|
100
|
1
|
101
|
1
|
102
|
3
|
103
|
1
|
104
|
3
|
105
|
6
|
106
|
2
|
107
|
2
|
108
|
39
|
109
|
4
|
110
|
13
|
111
|
8
|
112
|
36
|
113
|
3
|
114
|
1
|
115
|
1
|
116
|
3
|
117
|
136
|
118
|
9
|
119
|
2
|
120
|
1
|
121
|
2
|
122
|
3
|
123
|
3
|
124
|
20
|
125
|
1
|
126
|
1
|
127
|
2
|
128
|
4
|
129
|
4
|
130
|
1
|
131
|
1
|
132
|
2
|
133
|
20
|
134
|
1
|
135
|
3
|
136
|
52
|
137
|
8
|
138
|
1
|
139
|
2
|
140
|
1
|
141
|
1
|
142
|
7
|
143
|
921
|
144
|
1
|
145
|
1
|
146
|
7
|
147
|
2
|
148
|
1
|
149
|
1
|
150
|
12
|
151
|
6
|
152
|
110
|
153
|
1
|
154
|
1
|
155
|
1
|
156
|
6
|
157
|
23
|
158
|
1
|
159
|
1
|
160
|
1
|
161
|
2
|
162
|
4
|
163
|
1
|
164
|
1
|
165
|
2
|
166
|
6
|
167
|
4
|
168
|
25
|
169
|
1
|
170
|
5
|
171
|
1
|
172
|
2
|
173
|
53
|
174
|
1
|
175
|
11
|
176
|
1
|
177
|
38
|
178
|
5
|
179
|
2
|
180
|
1
|
181
|
1
|
182
|
4
|
183
|
3
|
184
|
1
|
185
|
9
|
186
|
1
|
187
|
18
|
188
|
1
|
189
|
7
|
190
|
2
|
191
|
1
|
192
|
4
|
193
|
1
|
194
|
6
|
195
|
1
|
196
|
1
|
197
|
4
|
198
|
11
|
199
|
1
|
200
|
320
|
201
|
2
|
202
|
22
|
203
|
1
|
204
|
2
|
205
|
6
|
206
|
1
|
207
|
2
|
208
|
26680
|
209
|
1
|
210
|
25
|
211
|
4
|
212
|
2
|
213
|
17
|
214
|
10
|
215
|
1
|
216
|
2
|
217
|
40
|
218
|
1
|
219
|
1
|
220
|
1
|
221
|
4
|
222
|
23
|
223
|
3
|
224
|
35
|
225
|
1
|
226
|
2
|
227
|
7
|
228
|
4
|
229
|
4
|
230
|
1
|
231
|
1
|
232
|
468
|
233
|
1
|
234
|
3
|
235
|
2
|
236
|
1
|
237
|
12
|
238
|
5
|
239
|
73
|
240
|
1
|
241
|
1
|
242
|
6
|
243
|
4
|
244
|
1
|
245
|
12
|
246
|
1
|
247
|
3
|
248
|
1
|
249
|
4
|
250
|
2
|
251
|
4
|
252
|
4
|
253
|
7
|
254
|
2
|
255
|
17
|
256
|
2
|
257
|
44
|
258
|
1
|
259
|
1
|
260
|
5
|
261
|
3
|
262
|
7
|
263
|
1
|
264
|
1
|
265
|
1
|
266
|
6
|
267
|
2
|
268
|
1
|
269
|
7
|
270
|
13
|
271
|
38
|
272
|
3
|
273
|
3
|
274
|
2
|
275
|
2
|
276
|
6
|
277
|
3
|
278
|
4
|
279
|
9
|
280
|
2
|
281
|
1
|
282
|
778
|
283
|
12
|
284
|
72
|
285
|
1
|
286
|
3
|
287
|
2
|
288
|
1
|
289
|
2
|
290
|
1
|
291
|
2
|
292
|
496
|
293
|
17
|
294
|
1
|
295
|
9
|
296
|
1
|
297
|
12
|
298
|
1
|
299
|
16
|
300
|
7
|
301
|
1
|
302
|
12
|
303
|
1
|
304
|
7
|
305
|
1
|
306
|
1
|
307
|
30
|
308
|
4
|
309
|
1
|
310
|
5
|
311
|
5
|
312
|
2
|
313
|
19
|
314
|
1
|
315
|
2
|
316
|
1492
|
317
|
2
|
318
|
2175
|
319
|
1
|
320
|
215
|
321
|
199
|
322
|
2
|
323
|
1
|
324
|
42
|
325
|
53
|
326
|
2
|
327
|
2
|
328
|
84
|
329
|
3
|
330
|
1
|
331
|
1
|
332
|
4
|
333
|
49
|
334
|
2
|
335
|
1
|
336
|
8
|
337
|
2
|
338
|
3
|
339
|
1
|
340
|
11
|
341
|
2
|
342
|
26
|
343
|
1
|
344
|
2
|
345
|
19
|
346
|
3
|
347
|
4
|
348
|
13
|
349
|
1
|
350
|
1
|
351
|
1
|
352
|
4
|
353
|
69
|
354
|
1
|
355
|
137
|
356
|
9
|
357
|
3
|
358
|
1
|
359
|
35
|
360
|
1
|
361
|
1
|
362
|
2
|
363
|
7
|
364
|
1
|
365
|
13
|
366
|
3
|
367
|
7
|
368
|
28
|
369
|
23
|
370
|
2
|
371
|
6
|
372
|
2
|
373
|
1
|
374
|
1
|
375
|
5
|
376
|
20
|
377
|
50
|
378
|
1
|
379
|
2
|
380
|
1
|
381
|
90
|
382
|
12
|
383
|
19
|
384
|
2
|
385
|
1
|
386
|
1
|
387
|
6
|
388
|
3
|
389
|
14
|
390
|
7
|
391
|
1
|
392
|
7
|
393
|
1
|
394
|
2
|
395
|
1
|
396
|
1
|
397
|
2
|
398
|
3
|
399
|
15
|
400
|
6
|
401
|
1
|
402
|
6
|
403
|
4
|
404
|
5
|
405
|
1
|
406
|
5
|
407
|
2
|
408
|
1
|
409
|
4
|
410
|
2
|
411
|
2
|
412
|
380
|
413
|
3
|
414
|
3
|
415
|
3
|
416
|
10
|
417
|
2
|
418
|
1
|
419
|
1
|
420
|
1
|
421
|
19
|
422
|
6
|
423
|
1
|
424
|
2
|
425
|
12
|
426
|
13
|
427
|
4
|
428
|
1
|
429
|
5
|
430
|
3
|
431
|
1
|
432
|
8
|
433
|
1
|
434
|
3
|
435
|
2
|
436
|
2
|
437
|
4
|
438
|
13
|
439
|
6
|
440
|
17
|
441
|
3
|
442
|
3
|
443
|
3
|
444
|
885
|
445
|
1
|
446
|
26
|
447
|
2
|
448
|
1
|
449
|
1
|
450
|
1
|
451
|
3
|
452
|
4
|
453
|
1
|
454
|
3
|
455
|
1
|
456
|
1
|
457
|
3
|
458
|
24
|
459
|
2
|
460
|
23
|
461
|
1
|
462
|
10
|
463
|
1
|
464
|
5
|
465
|
37
|
466
|
20
|
467
|
6
|
468
|
1
|
469
|
8
|
470
|
2
|
471
|
1
|
472
|
12
|
473
|
1
|
474
|
1
|
475
|
1
|
476
|
18
|
477
|
2
|
478
|
1
|
479
|
5
|
480
|
18
|
481
|
1
|
482
|
10
|
483
|
145
|
484
|
5
|
485
|
5
|
486
|
1
|
487
|
7
|
488
|
1085
|
489
|
3
|
490
|
1
|
491
|
7
|
492
|
14
|
493
|
3
|
494
|
1
|
495
|
1
|
496
|
1
|
497
|
56
|
498
|
44
|
499
|
1
|
500
|
1
|
501
|
1
|
502
|
2
|
503
|
2292
|
504
|
1
|
505
|
4
|
506
|
1
|
507
|
15
|
508
|
7
|
509
|
2
|
510
|
1
|
511
|
1
|
512
|
2
|
513
|
3
|
514
|
4
|
515
|
1
|
516
|
2
|
517
|
38
|
518
|
1
|
519
|
1
|
520
|
24
|
521
|
7
|
522
|
67
|
523
|
5
|
524
|
3
|
525
|
3
|
526
|
2
|
527
|
90
|
528
|
1
|
529
|
3
|
530
|
1
|
531
|
2
|
532
|
2
|
533
|
29
|
534
|
11
|
535
|
5
|
536
|
15
|
537
|
548
|
538
|
4
|
539
|
4
|
540
|
7
|
541
|
1
|
542
|
18
|
543
|
4
|
544
|
1
|
545
|
5
|
546
|
3
|
547
|
6
|
548
|
1
|
549
|
1
|
550
|
1
|
551
|
1
|
552
|
44
|
553
|
13
|
554
|
2
|
555
|
7
|
556
|
6
|
557
|
3
|
558
|
76
|
559
|
41
|
560
|
1
|
561
|
1
|
562
|
15
|
563
|
5
|
564
|
10
|
565
|
31
|
566
|
8
|
567
|
15
|
568
|
4
|
569
|
1
|
570
|
11
|
571
|
1
|
572
|
6
|
573
|
1
|
574
|
4
|
575
|
|
576
|
2
|
577
|
4620
|
578
|
1
|
579
|
2
|
580
|
2
|
581
|
1
|
582
|
3
|
583
|
9
|
584
|
4
|
585
|
6
|
586
|
4
|
587
|
70
|
588
|
1
|
589
|
1
|
590
|
4
|
591
|
1
|
592
|
2
|
593
|
13
|
594
|
1
|
595
|
1
|
596
|
1
|
597
|
3
|
598
|
1
|
599
|
7
|
600
|
2
|
601
|
6
|
602
|
7
|
603
|
5
|
604
|
1
|
605
|
12
|
606
|
1
|
607
|
11030
|
608
|
3
|
609
|
2
|
610
|
1
|
611
|
2
|
612
|
3
|
613
|
55
|
614
|
2
|
615
|
17
|
616
|
1
|
617
|
2
|
618
|
1
|
619
|
9
|
620
|
5
|
621
|
8
|
622
|
215
|
623
|
7
|
624
|
1
|
625
|
1
|
626
|
12
|
627
|
503
|
628
|
19
|
629
|
1
|
630
|
12
|
631
|
1112
|
632
|
3
|
633
|
1
|
634
|
4
|
635
|
2
|
636
|
5
|
637
|
18
|
638
|
15
|
639
|
1
|
640
|
1
|
641
|
23
|
642
|
10
|
643
|
7
|
644
|
1
|
645
|
2
|
646
|
1
|
647
|
22
|
648
|
1
|
649
|
32
|
650
|
2
|
651
|
1
|
652
|
38
|
653
|
7
|
654
|
1
|
655
|
1
|
656
|
16
|
657
|
116
|
658
|
4
|
659
|
1
|
660
|
11
|
661
|
3
|
662
|
6
|
663
|
4
|
664
|
5
|
665
|
5
|
666
|
3
|
667
|
2
|
668
|
1
|
669
|
128
|
670
|
1
|
671
|
98
|
672
|
2
|
673
|
1
|
674
|
19
|
675
|
7
|
676
|
1
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677
|
2
|
678
|
3
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679
|
10
|
680
|
2
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681
|
5
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682
|
16
|
683
|
1
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684
|
5
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685
|
3
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686
|
1
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687
|
7
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688
|
25
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689
|
3
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690
|
2
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691
|
1
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692
|
8
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693
|
1
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694
|
5
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695
|
1
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696
|
90
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697
|
11
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698
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8
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699
|
1
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700
|
10
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701
|
4
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702
|
3
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703
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5
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704
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3
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705
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1
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706
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1
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707
|
8
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708
|
1
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709
|
1
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710
|
22
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711
|
3
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712
|
80
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713
|
11
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714
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2
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715
|
1
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716
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1
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717
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3
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718
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3
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4
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720
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1
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4
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722
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7
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3
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|
1
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725
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13
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726
|
22
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727
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14
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728
|
1
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729
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13
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730
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6
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731
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7
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732
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6
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733
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7
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2
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735
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6
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2
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737
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16
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740
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6
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588
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35
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6
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750
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751
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7
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752
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11
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753
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1
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754
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1
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26
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756
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2
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757
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7
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758
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37
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759
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3
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760
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303
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761
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1
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762
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4
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763
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1
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36
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765
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18
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767
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3
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768
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11
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1
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770
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4
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771
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3
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772
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8
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773
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4
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774
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67
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8
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776
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1
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777
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6
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3
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779
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780
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1
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781
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782
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47
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783
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3
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4
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785
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5
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1
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11
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149
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4
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790
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23
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791
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2
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792
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2
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793
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7
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794
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1
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7
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796
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2
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797
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30
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798
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1
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12
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800
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91
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801
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11
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802
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2
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803
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1
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804
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1
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805
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79
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806
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9
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807
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10
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4
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809
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1
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810
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6
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4
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812
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3
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813
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8
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814
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1
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815
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1
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816
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1
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817
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79
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818
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156
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10
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820
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5
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7
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3
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2
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825
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1
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2
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3
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11
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830
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15
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58
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832
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2
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833
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1
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15
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6
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11
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837
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2
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838
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1
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2
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840
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27
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841
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6
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842
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2
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843
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55
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2
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1
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846
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7
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847
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3
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1
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5
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850
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7
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851
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2
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852
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1026
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853
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53
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854
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3
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855
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5
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856
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1
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857
|
19
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858
|
8
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859
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86
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860
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73
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861
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2
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862
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4
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863
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1
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864
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3
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865
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35
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866
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2
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867
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2
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4
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869
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24
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870
|
11
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871
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3
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872
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2
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873
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1
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874
|
4
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875
|
8
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876
|
16
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877
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2
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878
|
17
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879
|
20
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880
|
4
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881
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1
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882
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3
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883
|
1179
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884
|
1
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885
|
1
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886
|
11
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887
|
2
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888
|
3
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889
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1
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|
1
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891
|
6
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892
|
4
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893
|
3
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894
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2
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895
|
25
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896
|
5
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897
|
2
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898
|
4
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899
|
835
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900
|
3
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901
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1
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902
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2
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903
|
23
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904
|
7
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905
|
3
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906
|
1
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907
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2
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908
|
31
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909
|
4
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910
|
2
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911
|
5
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912
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2
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913
|
121
|
914
|
2
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915
|
1
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916
|
3
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917
|
24
|
918
|
5
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919
|
5
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920
|
4
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921
|
1
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922
|
2
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923
|
1
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924
|
2
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925
|
1
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926
|
10
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927
|
15
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928
|
12
|
929
|
14
|
930
|
1
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931
|
6
|
932
|
47
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933
|
3
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934
|
747
|
935
|
16
|
936
|
2
|
937
|
16
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938
|
7
|
939
|
1
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940
|
32
|
941
|
1
|
942
|
78
|
943
|
52
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944
|
1
|
945
|
5
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946
|
1
|
947
|
4
|
948
|
11
|
949
|
2
|
950
|
1
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951
|
126
|
952
|
3
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953
|
5580
|
954
|
3
|
955
|
1
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956
|
1
|
957
|
2
|
958
|
7
|
959
|
9
|
960
|
15
|
961
|
2
|
962
|
40
|
963
|
1
|
964
|
146
|
965
|
1
|
966
|
1
|
967
|
3
|
968
|
1
|
969
|
7
|
970
|
3
|
971
|
98
|
972
|
6
|
973
|
3
|
974
|
1
|
975
|
3
|
976
|
1
|
977
|
7
|
978
|
17
|
979
|
160
|
980
|
2
|
981
|
1
|
982
|
18
|
983
|
16
|
984
|
1
|
985
|
24
|
986
|
5
|
987
|
122
|
988
|
3
|
989
|
1
|
990
|
24
|
991
|
7
|
992
|
6
|
993
|
263
|
994
|
1
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995
|
2
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996
|
1
|
997
|
3
|
998
|
1
|
999
|
2
|
1000
|
1
|
1001
|
1
|
1002
|
302
|
1003
|
4
|
1004
|
4
|
1005
|
1
|
1006
|
1
|
1007
|
83
|
1008
|
47
|
1009
|
62
|
1010
|
7
|
1011
|
4
|
1012
|
2
|
1013
|
1
|
1014
|
1
|
1015
|
3
|
1016
|
1
|
1017
|
2
|
1018
|
19
|
1019
|
4
|
1020
|
395
|
1021
|
2
|
1022
|
3
|
1023
|
1
|
1024
|
1
|