Williams primes of the form (b-1) · bn + 1

Started: 2025-09-05
Last update: 2025-12-28

Compiled by Gary Barnes

Williams primes of the form (b-1) · bn - 1
Williams primes of the form (b+1) · bn - 1
Williams primes of the form (b+1) · bn + 1

Green = reserved by a project
Yellow = reserved by a person
Blue = base with no known primes
Mauve = not reserved and has prime > contiguous test limit (missing range); notated by (...)

Status date is date of reservation or last date that test limit was updated.

base Reserved by Status date Test limit # primes (b-1) · bn + 1 is prime for the following n-values
2 FermatSearch 8589934591 5 1, 2, 4, 8, 16
3 2M 48 1, 2, 4, 5, 6, 9, 16, 17, 30, 54, 57, 60, 65, 132, 180, 320, 696, 782, 822, 897, 1252, 1454, 4217, 5480, 6225, 7842, 12096, 13782, 17720, 43956, 64822, 82780, 105106, 152529, 165896, 191814, 529680, 1074726, 1086112, 1175232, 1277862, 1346542, (...) 3123036, 3648969, 5570081, 6236772, 10852677, 11879700
4 PrimeGrid
321 Prime
Search		 2025-12-28 11883983 29 1, 3, 4, 6, 9, 15, 18, 33, 138, 204, 219, 267, 1104, 1408, 1584, 1956, 17175, 21147, 24075, 27396, 27591, 40095, 354984, 400989, 916248, 1145805, 2541153, 5414673, 8204409
5 700K 20 2, 6, 18, 50, 290, 2582, 20462, 23870, 26342, 31938, 38122, 65034, 70130, 245538, (...) 851878, 1052422, 1496566, 5380542, 8431178, 11786358
6 1M 29 1, 2, 4, 17, 136, 147, 203, 590, 754, 964, 970, 1847, 2031, 2727, 2871, 5442, 7035, 7266, 11230, 23307, 27795, 34152, 42614, 127206, 133086, 231128, 235508, 413426, 880336
7 2M 13 1, 4, 9, 99, 412, 2633, 5093, 5632, 28233, 36780, 47084, 53572, 1109897
8 3M 18 2, 40, 58, 60, 130, 144, 752, 7462, 18162, 69028, 187272, 268178, 270410, 497284, 713304, 722600, 1005254, 1925332
9 625K 17 1, 4, 5, 11, 26, 29, 38, 65, 166, 490, 641, 2300, 9440, 44741, 65296, 161930, 586240
10 1M 26 3, 4, 5, 9, 22, 27, 36, 57, 62, 78, 201, 537, 696, 790, 905, 1038, 66886, 70500, 91836, 100613, 127240, 380734, 583696, 719055, 823037, 862868
11 6M 8 10, 24, 864, 2440, 9438, 68272, 148602, 670128
12 200K 9 3, 4, 35, 119, 476, 507, 6471, 13319, 31799
13 200K 18 1, 2, 4, 21, 34, 48, 53, 160, 198, 417, 773, 1220, 5361, 6138, 15557, 18098, 30580, 75198
14 200K 7 2, 40, 402, 1070, 6840, 39006, 75264
15 200K 18 1, 3, 4, 9, 11, 14, 23, 122, 141, 591, 2115, 2398, 2783, 3692, 3748, 10996, 16504, 151536
16 2.25M 24 1, 3, 11, 12, 28, 42, 225, 702, 782, 972, 1701, 1848, 8556, 8565, 10847, 12111, 75122, 183600, 307400, 342107, 416936, 696485, 1061596, (...) 2457527
17 200K 9 4, 20, 320, 736, 2388, 3344, 8140, 26908, 111440
18 200K 12 1, 6, 9, 12, 22, 30, 102, 154, 600, 33009, 56470, 145053
19 200K 8 29, 32, 59, 65, 303, 1697, 5358, 9048
20 100K 8 14, 18, 20, 38, 108, 150, 640, 8244
21 100K 22 1, 2, 3, 4, 12, 17, 38, 54, 56, 123, 165, 876, 1110, 1178, 2465, 3738, 7092, 8756, 15537, 19254, 24712, 35002
22 200K 12 1, 9, 53, 261, 1491, 2120, 2592, 6665, 9460, 15412, 24449, 128512
23 100K 9 14, 62, 84, 8322, 9396, 10496, 24936, 35874, 47236
24 100K 18 2, 4, 9, 42, 47, 54, 89, 102, 118, 269, 273, 316, 698, 1872, 2126, 22272, 38002, 46650
25 200K 9 1, 4, 162, 1359, 2620, 26886, 75549, 148606, 183756
26 100K 7 2, 18, 100, 1178, 1196, 16644, 81402
27 333333 21 4, 5, 167, 408, 416, 701, 707, 1811, 3268, 3508, 7020, 7623, 16449, 35920, 55161, 77645, 87172, 129328, 134853, 217643, (...) 478625
28 200K 13 1, 2, 136, 154, 524, 1234, 2150, 2368, 7222, 10082, 14510, 16928, 39400
29 100K 7 2, 4, 6, 44, 334, 24714, 41540
30 Hibou 2025-11-18 114077 17 4, 5, 9, 18, 71, 124, 165, 172, 888, 2218, 3852, 17871, 23262, 26823, 32783, 44703, 95589
31 25K 8 5, 18, 93, 269, 488, 1514, 3424, 10858
32 1.8M 4 12, 28, 1112164, 1669600
33 10K 12 2, 4, 6, 9, 29, 292, 377, 444, 581, 2262, 4533, 7196
34 10K 11 1, 2, 4, 9, 32, 33, 50, 56, 168, 315, 1592
35 10K 2 2, 6040
36 50K 10 2, 9, 11, 21, 50, 96, 137, 210, 345, 1282
37 100K 12 9, 16, 36, 72, 299, 532, 681, 3756, 4716, 7936, 59476, 72357
38 25K 3 16, 32, 72
39 10K 5 1, 4, 45, 2877, 8314
40 10K 14 2, 4, 11, 17, 60, 69, 96, 159, 310, 330, 994, 1103, 7486, 9616
41 50K 3 80, 120, 170
42 50K 8 1, 4, 5, 15, 20, 39, 3041, 3204
43 50K 10 2, 9, 14, 40, 81, 156, 221, 252, 569, 39441
44 50K 9 4, 108, 174, 272, 1098, 2260, 4972, 7448, 17528
45 50K 12 2, 5, 15, 17, 28, 84, 390, 778, 1536, 4094, 18692, 46745
46 50K 14 3, 18, 27, 28, 66, 129, 189, 399, 550, 714, 2043, 7350, 7449, 16191
47 50K 3 16, 4136, 25072
48 50K 6 2, 5, 6, 40, 986, 1246
49 50K 19 2, 4, 9, 11, 26, 63, 75, 135, 164, 449, 662, 1376, 1683, 6644, 15129, 15291, 21761, 35138, 43191
50 10K 6 2, 30, 412, 628, 1248, 4190
51 10K 8 1, 2, 10, 41, 125, 137, 2204, 9117
52 10K 4 15, 28, 372, 1000
53 10K 1 960
54 10K 10 15, 65, 98, 120, 124, 168, 188, 1371, 1936, 4605
55 10K 9 1, 2, 3, 5, 28, 29, 98, 291, 5056
56 10K 7 4, 8, 34, 36, 458, 496, 5782
57 10K 6 3, 16, 36, 48, 3599, 4383
58 10K 6 1, 2, 14, 2514, 4970, 5526
59 400K 10 14, 38, 104, 362, 1256, 3260, 17182, 18166, 41726, 141008
60 10K 10 1, 21, 51, 117, 178, 292, 579, 624, 718, 6472
61 10K 7 6, 8, 27, 47, 54, 184, 6212
62 10K 2 20, 212
63 10K 7 1, 4, 17, 18, 484, 1152, 6910
64 1416666 17 3, 10, 38, 128, 215, 404, 413, 504, 826, 5679, 70838, 148694, 149718, 255148, 270995, 467855, 1290531
65 100K 3 946, 1022, 10898
66 100K 9 6, 83, 177, 356, 1468, 5562, 43404, 67500, 89990
67 100K 9 1, 3, 4, 112, 2103, 4041, 6567, 15531, 33831
68 100K 7 18, 284, 422, 482, 536, 558, 28192
69 100K 13 10, 12, 15, 32, 172, 399, 424, 501, 579, 706, 1064, 6314, 13996
70 100K 11 1, 11, 16, 40, 479, 1149, 1496, 3279, 17289, 20214, 40779
71 100K 6 4, 62, 158, 418, 13106, 87362
72 100K 9 1, 3, 5, 12, 15, 140, 292, 15304, 59408
73 30K 5 5, 24, 34, 96, 1025
74 25K 2 42, 300
75 25K 10 4, 6, 9, 95, 516, 628, 830, 1256, 2045, 14805
76 25K 10 1, 2, 3, 11, 110, 4644, 6016, 6346, 14106, 21266
77 25K 2 828, 5460
78 25K 4 1, 5, 116, 9116
79 30K 14 1, 10, 12, 24, 101, 124, 288, 300, 804, 857, 1036, 5369, 8020, 27288
80 25K 5 2, 4, 346, 5972, 6516
81 50K 3 1, 5394, 11811
82 25K 8 12, 17, 92, 96, 408, 8687, 11976, 12299
83 25K 6 2, 4, 16, 146, 1298, 13330
84 25K 13 6, 12, 63, 176, 207, 227, 602, 627, 674, 1516, 10095, 11195, 15572
85 25K 9 4, 20, 72, 584, 1394, 5398, 10890, 15084, 19610
86 25K 5 30, 158, 4510, 9848, 13610
87 25K 5 3, 327, 359, 429, 968
88 25K 3 3022, 20556, 23182
89 30K 5 2, 110, 214, 302, 314
90 25K 9 1, 2, 3, 4, 18, 239, 11003, 11331, 20121
91 25K 8 1, 9, 21, 117, 389, 772, 1947, 4274
92 25K 2 8, 19888
93 25K 14 2, 5, 9, 24, 28, 32, 93, 128, 384, 392, 396, 897, 2464, 23708
94 25K 11 4, 8, 27, 41, 564, 744, 1107, 2738, 4876, 17896, 24437
95 25K 5 4, 136, 490, 3444, 4320
96 25K 13 2, 4, 11, 20, 34, 40, 48, 57, 82, 1713, 3099, 3314, 7209
97 30K 8 11, 75, 1023, 1595, 1956, 5516, 9521, 12311
98 25K 2 8, 10
99 25K 4 2, 3422, 3615, 12162
100 50K 12 1, 2, 4, 8, 10, 12, 36, 100, 227, 312, 527, 1030
101 25K 8 2, 16, 48, 242, 1182, 2910, 3200, 13666
102 25K 5 1, 4, 51, 69, 4011
103 25K 9 56, 254, 333, 1936, 2992, 4730, 8093, 9934, 20085
104 25K 4 2, 16, 62, 5280
105 25K 11 12, 20, 486, 1332, 4182, 4260, 7248, 7443, 22991, 23750, 24978
106 25K 5 1, 11, 161, 479, 3053
107 25K 1 4
108 25K 3 5, 33, 2410
109 25K 10 15, 30, 138, 195, 282, 1050, 1101, 3213, 3406, 19245
110 25K 5 2, 22, 24, 122, 1680
111 1K 9 1, 2, 8, 12, 21, 146, 161, 618, 963
112 1K 3 1, 28, 948
113 25K 7 4, 16, 26, 236, 4912, 9864, 22296
114 1K 7 3, 10, 22, 24, 45, 772, 886
115 1K 5 2, 52, 81, 134, 767
116 1K 2 16, 814
117 1K 7 3, 99, 137, 219, 335, 392, 896
118 1K 10 1, 2, 10, 29, 161, 244, 318, 352, 634, 748
119 1K 4 46, 56, 88, 204
120 1K 6 1, 2, 38, 40, 42, 56
121 15K 10 2, 6, 10, 15, 206, 515, 1010, 3354, 4049, 6761
122 10K 1 6216
123 877888 1 865890
124 1K 2 2, 62
125 1K 4 16, 26, 72, 242
126 1K 6 4, 188, 209, 224, 509, 860
127 1K 4 165, 183, 228, 452
128 1M 3 72, 8722, 51120
129 1K 4 5, 22, 148, 171
130 1K 1 64
131 1K 6 14, 18, 42, 172, 426, 774
132 1K 4 1, 32, 39, 368
133 1K 5 2, 5, 9, 14, 126
134 1K 2 50, 90
135 1K 3 2, 20, 424
136 1K 2 279, 374
137 1K 2 12, 960
138 1K 3 2, 8, 81
139 1K 5 1, 3, 6, 21, 22
140 1K 4 2, 30, 40, 228
141 1K 6 6, 16, 29, 50, 95, 314
142 1K 3 1, 11, 159
143 1K 3 4, 64, 438
144 1K 4 1, 24, 208, 837
145 1K 5 3, 11, 100, 202, 232
146 1K 3 4, 16, 372
147 1K 3 4, 9, 788
148 1K 6 1, 2, 14, 30, 40, 281
149 1K 2 2, 116
150 1K 1 14
151 10K 4 1, 4, 63, 8463
152 1K 2 8, 48
153 1K 4 4, 9, 170, 944
154 1K 4 1, 3, 4, 914
155 1K 1 6
156 1K 10 1, 12, 18, 113, 119, 207, 243, 352, 588, 944
157 1K 3 29, 44, 695
158 50K 2 1620, 5092
159 1K 3 16, 21, 780
160 1K 5 5, 18, 52, 95, 270
161 1K 5 2, 10, 16, 54, 292
162 1K 4 1, 3, 24, 227
163 10K 5 1, 26, 65, 88, 2134
164 1K 5 20, 48, 62, 182, 514
165 1K 7 1, 9, 10, 12, 40, 216, 730
166 1K 4 5, 194, 576, 806
167 1K 1 24
168 1K 1 1
169 1K 5 1, 5, 10, 107, 338
170 1K 7 2, 10, 16, 180, 324, 610, 900
171 1K 3 52, 80, 348
172 1K 1 99
173 1K 3 2, 70, 114
174 1K 8 1, 3, 6, 10, 34, 78, 394, 978
175 1K 7 15, 46, 101, 114, 122, 147, 648
176 1K 5 4, 6, 10, 132, 594
177 1K 3 1, 9, 896
178 1K 3 8, 9, 50
179 1K 3 46, 550, 832
180 10K 2 2484, 7989
181 1K 9 2, 5, 16, 105, 176, 260, 286, 321, 527
182 1K 1 396
183 1K 6 22, 141, 189, 245, 513, 880
184 1K 5 3, 8, 10, 279, 399
185 1K 1 208
186 1K 5 3, 6, 78, 156, 399
187 1K 5 8, 17, 47, 536, 635
188 1K 4 10, 52, 54, 450
189 1K 5 1, 8, 17, 18, 77
190 1K 3 1, 2, 4
191 1K 3 2, 14, 38
192 1K 5 15, 21, 41, 167, 536
193 1K 3 1, 178, 886
194 1K 2 2, 14
195 1K 11 1, 2, 4, 8, 9, 11, 33, 111, 207, 327, 330
196 1K 2 60, 856
197 1K 1 520
198 1K 7 4, 5, 8, 46, 316, 557, 770
199 1K 3 8, 28, 45
200 1K 2 60, 294
201 1K 5 2, 5, 11, 39, 95
202 50K 1 46773
203 1K 5 2, 32, 178, 190, 648
204 1K 4 1, 2, 122, 597
205 1K 7 2, 16, 140, 214, 276, 353, 755
206 1K 3 2, 14, 414
207 1K 6 1, 3, 4, 135, 220, 351
208 1K 3 9, 29, 326
209 1K 4 2, 4, 136, 500
210 1K 2 1, 197
211 1K 3 2, 4, 596
212 1K 1 4
213 1K 6 4, 28, 53, 172, 478, 657
214 1K 3 118, 154, 456
215 1K 1 2
216 1K 6 1, 2, 3, 24, 30, 143
217 1K 3 5, 164, 668
218 1K 4 44, 80, 178, 346
219 1K 4 1, 50, 63, 198
220 1K 10 5, 6, 24, 30, 38, 41, 45, 65, 192, 432
221 1K 5 24, 30, 202, 642, 874
222 1K 6 3, 40, 44, 140, 432, 543
223 1K 1 14
224 1K 3 2, 4, 44
225 1K 8 5, 8, 17, 32, 46, 56, 333, 563
226 1K 3 2, 21, 30
227 1K 3 16, 36, 276
228 1K 6 24, 45, 48, 78, 225, 510
229 1K 2 41, 243
230 1K 2 2, 70
231 1K 6 4, 6, 45, 46, 126, 282
232 1K 4 1, 76, 87, 96
233 1K 2 16, 52
234 1K 6 10, 26, 90, 119, 290, 750
235 1K 3 15, 111, 138
236 1K 3 4, 62, 748
237 1K 5 1, 4, 5, 81, 232
238 1K 1 40
239 1K 3 50, 84, 208
240 1K 11 3, 5, 8, 16, 104, 114, 144, 160, 216, 614, 905
241 10K 2 38, 6392
242 1K 2 4, 228
243 1K 4 6, 22, 57, 116
244 1K 5 14, 17, 27, 34, 153
245 1K 3 4, 34, 62
246 1K 4 1, 3, 47, 137
247 1K 4 1, 45, 197, 460
248 1K 1 604
249 10K 1 1851
250 1K 4 3, 11, 28, 99
251 103K 1 102978
252 1K 3 11, 15, 105
253 1K 6 2, 8, 16, 24, 72, 682
254 1K 2 2, 152
255 1K 7 4, 6, 11, 17, 88, 150, 192
256 687.5K 8 4, 9, 42, 130, 580, 33226, 51426, 333556
257 10K 1 1344
258 1K 5 2, 14, 132, 142, 232
259 1K 7 2, 4, 28, 34, 78, 82, 384
260 1K 3 2, 4, 10
261 1K 3 5, 8, 112
262 1K 2 4, 63
263 1K 1 10
264 1K 2 5, 17
265 1K 6 3, 8, 12, 29, 40, 83
266 1K 4 2, 42, 324, 340
267 1K 3 1, 15, 17
268 1K 2 6, 212
269 10K 1 1436
270 1K 4 3, 6, 82, 102
271 1K 3 12, 297, 802
272 20K 1 16680
273 1K 5 1, 10, 20, 153, 684
274 1K 5 2, 3, 29, 206, 254
275 1K 1 980
276 1K 6 3, 10, 14, 23, 90, 459
277 1K 2 24, 57
278 1K 3 2, 30, 122
279 1K 7 1, 2, 18, 34, 86, 152, 179
280 1K 6 1, 3, 17, 21, 36, 53
281 1K 4 2, 32, 210, 524
282 1K 1 276
283 1K 3 14, 164, 198
284 1K 1 36
285 1K 11 2, 3, 5, 10, 15, 22, 52, 57, 58, 93, 298
286 1K 2 2, 10
287 1K 3 4, 8, 80
288 1K 6 1, 12, 57, 84, 293, 320
289 1K 6 1, 12, 40, 71, 514, 536
290 1K 4 24, 94, 154, 200
291 1K 2 1, 306
292 1K 4 5, 12, 228, 240
293 1K 3 44, 222, 516
294 1K 7 1, 2, 8, 17, 45, 105, 238
295 1K 3 6, 8, 46
296 1K 3 4, 62, 264
297 20K 1 14313
298 67K 1 60670
299 1K 3 4, 68, 344
300 1K 4 2, 4, 6, 36
301 1K 6 2, 9, 16, 51, 113, 323
302 1K 2 16, 256
303 1K 4 5, 28, 33, 390
304 1K 2 70, 154
305 1K 3 52, 378, 582
306 1K 7 8, 10, 16, 18, 50, 548, 694
307 1K 1 203
308 1K 1 8
309 1K 3 2, 4, 88
310 1K 5 1, 26, 51, 302, 591
311 1K 2 2, 16
312 1K 3 4, 40, 220
313 1K 3 4, 101, 476
314 1K 3 12, 20, 84
315 1K 5 1, 4, 17, 297, 896
316 1K 6 5, 10, 21, 48, 69, 328
317 1K 2 128, 308
318 1K 5 2, 4, 14, 17, 65
319 1K 1 564
320 1K 2 2, 48
321 1K 4 2, 3, 16, 872
322 1K 2 17, 56
323 1K 7 2, 12, 24, 36, 78, 126, 708
324 1K 8 6, 9, 21, 27, 32, 125, 231, 777
325 1K 2 2, 3
326 67K 1 64756
327 1K 1 24
328 10K 4 1626, 2006, 4265, 6144
329 1K 1 480
330 1K 4 1, 2, 9, 15
331 1K 5 4, 6, 54, 84, 722
332 1K 2 112, 208
333 1K 3 1, 249, 316
334 1K 4 2, 20, 56, 578
335 1K 8 4, 34, 42, 50, 80, 710, 836, 862
336 1K 5 2, 4, 21, 22, 873
337 1K 4 1, 3, 17, 75
338 1K 1 272
339 1K 6 10, 54, 81, 89, 99, 569
340 1K 1 324
341 1K 2 84, 170
342 300K 0
343 1K 7 1, 8, 12, 22, 32, 86, 609
344 1K 2 2, 34
345 1K 8 1, 3, 10, 26, 102, 112, 129, 822
346 1K 4 4, 6, 98, 164
347 78K 1 69660
348 1K 4 2, 4, 12, 154
349 1K 8 1, 2, 12, 34, 100, 132, 642, 970
350 1K 1 270
351 1K 5 5, 8, 60, 203, 802
352 1K 4 1, 4, 711, 921
353 1K 6 2, 4, 10, 20, 170, 262
354 1K 2 21, 33
355 1K 4 2, 16, 27, 36
356 1K 1 528
357 1K 1 3
358 1K 5 1, 2, 28, 68, 92
359 1K 1 104
360 15K 17 4, 8, 9, 12, 17, 34, 35, 92, 150, 340, 461, 1372, 1918, 2261, 2351, 3441, 10661
361 1K 4 6, 9, 558, 616
362 304K 0
363 143K 1 142876
364 1K 6 3, 4, 5, 60, 220, 268
365 1K 4 2, 92, 122, 330
366 1K 1 2
367 1K 4 5, 84, 123, 837
368 1K 6 36, 456, 460, 504, 568, 814
369 1K 6 8, 10, 11, 16, 470, 543
370 1K 7 1, 2, 6, 167, 209, 454, 666
371 1K 4 22, 312, 378, 862
372 1K 3 3, 39, 904
373 1K 7 2, 4, 5, 36, 38, 66, 144
374 1K 1 52
375 1K 7 6, 10, 12, 24, 219, 334, 570
376 1K 2 8, 47
377 1K 3 16, 96, 196
378 1K 6 5, 42, 102, 244, 273, 641
379 1K 3 1, 2, 142
380 1K 3 2, 118, 658
381 15K 14 3, 5, 16, 22, 34, 81, 105, 207, 356, 413, 1235, 3413, 4317, 8474
382 1K 2 1, 273
383 1K 3 4, 6, 86
384 1K 1 1
385 1K 5 9, 22, 98, 729, 940
386 1K 3 2, 28, 66
387 1K 2 4, 23
388 1K 1 41
389 1K 4 70, 196, 280, 490
390 1K 11 2, 4, 46, 218, 335, 412, 490, 510, 574, 736, 856
391 1K 9 3, 6, 42, 46, 47, 51, 84, 466, 477
392 1K 3 4, 20, 64
393 1K 4 1, 2, 144, 974
394 1K 2 3, 369
395 1K 5 2, 6, 20, 22, 242
396 1K 5 1, 3, 10, 78, 196
397 1K 1 44
398 1K 6 56, 58, 82, 86, 248, 284
399 1K 6 1, 2, 5, 24, 44, 57
400 1K 5 2, 14, 318, 636, 833
401 1K 2 16, 72
402 1K 1 112
403 1K 2 1, 129
404 1K 3 2, 4, 924
405 1K 3 1, 9, 16
406 15K 15 1, 5, 10, 12, 14, 44, 106, 210, 255, 700, 804, 1523, 1672, 2856, 2903
407 1K 1 500
408 1K 4 76, 77, 269, 302
409 1K 4 3, 8, 11, 16
410 1K 1 42
411 1K 4 2, 6, 323, 722
412 1K 4 9, 11, 105, 213
413 1K 4 4, 18, 22, 36
414 1K 5 2, 4, 26, 50, 214
415 1K 3 1, 8, 14
416 1K 1 180
417 1K 3 1, 93, 177
418 1K 4 9, 14, 118, 442
419 20K 1 4338
420 1K 3 10, 122, 573
421 1K 4 9, 22, 26, 77
422 300K 0
423 1K 6 2, 4, 9, 38, 57, 992
424 1K 2 4, 136
425 1K 2 2, 6
426 1K 4 3, 17, 77, 122
427 1K 3 1, 71, 89
428 1K 3 2, 164, 768
429 1K 6 6, 69, 87, 255, 303, 602
430 1K 6 3, 5, 8, 17, 80, 264
431 1K 1 76
432 1K 2 99, 117
433 1K 6 2, 105, 148, 333, 509, 669
434 1K 1 882
435 1K 2 1, 3
436 1K 5 1, 4, 86, 122, 170
437 1K 2 108, 128
438 200K 1 126804
439 1K 3 15, 46, 586
440 1K 5 4, 28, 86, 106, 564
441 1K 3 2, 102, 189
442 1K 2 16, 132
443 1K 3 4, 82, 754
444 1K 5 2, 5, 11, 110, 526
445 1K 5 3, 12, 18, 81, 480
446 1K 3 2, 14, 184
447 1K 5 3, 4, 21, 65, 299
448 1K 3 1, 12, 34
449 1K 3 14, 18, 30
450 1K 6 20, 26, 143, 286, 406, 832
451 1K 3 2, 4, 18
452 72K 1 71940
453 1K 1 6
454 1K 3 1, 2, 11
455 20K 1 1168
456 1K 4 1, 5, 122, 530
457 1K 5 1, 15, 64, 220, 387
458 1K 2 2, 252
459 1K 4 3, 4, 10, 90
460 1K 5 5, 14, 94, 353, 969
461 1K 2 26, 730
462 1K 2 80, 159
463 1K 2 10, 220
464 1K 6 36, 74, 86, 144, 266, 362
465 1K 5 2, 10, 17, 36, 684
466 1K 5 4, 22, 40, 54, 528
467 1K 2 40, 216
468 1K 5 18, 42, 44, 45, 70
469 1K 5 9, 10, 35, 46, 113
470 1K 2 24, 140
471 1K 2 263, 404
472 1K 3 45, 101, 789
473 1K 1 72
474 1K 7 2, 27, 106, 136, 154, 198, 695
475 1K 3 4, 160, 326
476 1K 2 60, 924
477 1K 6 1, 3, 15, 24, 65, 136
478 1K 4 9, 17, 18, 461
479 539K 0
480 1K 1 15
481 1K 1 5
482 1K 2 4, 880
483 1K 6 2, 8, 122, 146, 321, 617
484 1K 3 2, 376, 728
485 1K 1 20
486 1K 2 4, 150
487 600K 0
488 1K 4 10, 80, 270, 740
489 1K 3 2, 131, 678
490 1K 2 1, 204
491 1K 4 2, 74, 300, 570
492 1K 3 27, 64, 171
493 1K 6 5, 28, 29, 36, 148, 516
494 1K 2 144, 214
495 1K 9 2, 3, 63, 104, 158, 795, 831, 855, 959
496 1K 4 1, 12, 28, 622
497 10K 1 4012
498 10K 1 1937
499 1K 3 20, 165, 258
500 1K 7 2, 4, 26, 218, 316, 600, 926
501 1K 3 1, 6, 58
502 1K 7 3, 12, 17, 29, 141, 344, 364
503 1K 1 892
504 1K 4 9, 10, 461, 965
505 1K 8 2, 3, 4, 28, 36, 57, 142, 671
506 1K 4 2, 6, 92, 996
507 1K 4 3, 5, 99, 723
508 1K 2 4, 42
509 1K 2 194, 236
510 1K 4 3, 16, 30, 32
511 1K 3 15, 18, 30
512 500K 0
513 1K 2 1, 22
514 1K 5 2, 8, 10, 75, 124
515 1K 2 6, 10
516 1K 3 6, 51, 275
517 1K 2 8, 33
518 1K 2 2, 24
519 1K 9 1, 2, 3, 9, 10, 12, 180, 238, 664
520 1K 3 24, 29, 59
521 1K 5 8, 14, 18, 34, 60
522 1K 2 105, 916
523 1K 6 2, 5, 28, 34, 94, 534
524 1K 1 814
525 1K 6 2, 28, 142, 412, 560, 984
526 1K 7 1, 10, 15, 18, 28, 124, 280
527 1K 1 328
528 1K 2 2, 5
529 1K 2 6, 118
530 1K 6 4, 8, 182, 248, 574, 824
531 1K 4 1, 2, 5, 60
532 1K 4 1, 11, 195, 519
533 1K 2 6, 28
534 1K 4 1, 147, 188, 375
535 1K 1 45
536 10K 1 9762
537 1K 2 56, 376
538 1K 4 1, 6, 8, 12
539 1K 2 2, 334
540 1K 2 12, 290
541 1K 5 1, 2, 44, 53, 117
542 200K 1 156680
543 10041 1 10041
544 1K 6 10, 21, 52, 65, 153, 209
545 10K 2 1822, 3520
546 1K 5 131, 190, 266, 291, 386
547 1K 3 11, 861, 880
548 1K 1 16
549 1K 3 23, 107, 587
550 1K 3 4, 6, 162
551 1K 1 248
552 1K 3 1, 27, 303
553 1K 1 752
554 1K 3 22, 48, 502
555 1K 6 1, 5, 100, 116, 185, 726
556 1K 6 6, 8, 28, 81, 243, 402
557 1K 1 60
558 1K 5 32, 64, 189, 590, 824
559 1K 4 9, 20, 188, 304
560 1K 1 2
561 1K 5 1, 2, 10, 11, 24
562 1K 5 5, 23, 232, 412, 488
563 1K 4 6, 58, 270, 464
564 50K 1 38064
565 1K 5 2, 3, 156, 243, 783
566 1K 2 2, 38
567 1K 2 1, 3
568 1K 2 1, 32
569 1K 4 148, 172, 710, 902
570 1K 1 160
571 1K 1 10
572 10K 1 1832
573 1K 5 1, 6, 9, 46, 150
574 1K 2 17, 288
575 1K 1 34
576 1K 9 3, 6, 12, 16, 117, 291, 484, 740, 819
577 1K 4 3, 4, 35, 915
578 10K 1 2764
579 1K 5 2, 6, 9, 16, 132
580 1K 5 1, 2, 18, 77, 219
581 1K 2 44, 226
582 1K 2 4, 119
583 1K 2 1, 2
584 1K 2 2, 6
585 1K 4 1, 117, 153, 231
586 1K 8 2, 10, 14, 15, 105, 279, 821, 911
587 1K 1 916
588 1K 6 106, 140, 284, 464, 713, 884
589 1K 4 4, 12, 261, 564
590 1K 6 26, 94, 104, 132, 830, 966
591 1K 6 10, 80, 220, 263, 268, 484
592 1K 2 99, 120
593 10K 2 1660, 2272
594 1K 7 2, 20, 33, 51, 124, 233, 694
595 1K 5 11, 46, 68, 90, 538
596 1K 1 370
597 1K 2 15, 29
598 1K 2 4, 14
599 10K 1 1018
600 1K 6 5, 11, 122, 315, 562, 878
601 1K 4 17, 44, 60, 832
602 350K 0
603 1K 1 9
604 1K 4 1, 4, 41, 94
605 1K 4 6, 8, 20, 30
606 1K 2 1, 30
607 1K 6 3, 4, 20, 108, 200, 884
608 1K 2 2, 4
609 1K 6 5, 41, 47, 149, 249, 335
610 1K 7 1, 2, 6, 20, 60, 122, 728
611 1K 1 274
612 1K 4 5, 35, 45, 220
613 1K 2 1, 357
614 1K 2 30, 520
615 1K 9 3, 5, 20, 41, 70, 72, 84, 875, 930
616 1K 6 2, 6, 58, 239, 333, 916
617 1K 3 16, 32, 36
618 1K 3 18, 238, 572
619 1K 3 2, 4, 35
620 1K 1 972
621 1K 5 3, 9, 10, 34, 99
622 1K 3 1, 4, 11
623 1K 1 2
624 1K 4 18, 24, 233, 315
625 1K 7 1, 4, 9, 81, 358, 516, 548
626 1K 3 8, 46, 48
627 1K 2 1, 9
628 1K 7 8, 42, 52, 68, 597, 645, 728
629 1K 2 2, 100
630 1K 8 5, 10, 104, 154, 209, 350, 492, 574
631 1K 4 3, 5, 141, 264
632 1K 2 4, 144
633 1K 3 5, 173, 240
634 86K 1 84822
635 1K 2 74, 698
636 1K 10 1, 10, 20, 45, 95, 105, 303, 536, 680, 695
637 1K 1 11
638 1K 5 6, 10, 30, 90, 168
639 1K 4 3, 9, 27, 305
640 1K 7 9, 12, 44, 59, 102, 188, 274
641 1K 1 4
642 1K 4 3, 4, 11, 113
643 1K 6 1, 2, 24, 48, 50, 504
644 1K 4 14, 18, 222, 422
645 1K 2 1, 20
646 1K 6 5, 8, 20, 83, 173, 753
647 1K 1 24
648 1K 2 6, 129
649 1K 2 34, 96
650 1K 1 22
651 1K 3 131, 213, 449
652 1K 2 71, 772
653 1K 3 6, 484, 580
654 1K 6 2, 5, 6, 10, 62, 566
655 1K 1 142
656 1K 1 236
657 1K 4 4, 5, 111, 141
658 1K 1 786
659 1K 3 4, 22, 666
660 1K 8 3, 10, 15, 17, 22, 32, 76, 107
661 1K 2 237, 269
662 1K 1 28
663 1K 6 2, 12, 69, 170, 302, 404
664 1K 8 60, 179, 282, 299, 460, 500, 537, 939
665 1K 1 70
666 1K 3 2, 3, 110
667 1K 3 3, 23, 272
668 1K 2 58, 158
669 1K 2 1, 18
670 1K 7 2, 9, 26, 98, 485, 648, 728
671 1K 5 12, 50, 184, 280, 754
672 1K 2 1, 4
673 1K 2 24, 164
674 10K 1 6342
675 1K 5 9, 60, 141, 214, 652
676 1K 4 3, 15, 27, 219
677 1K 1 320
678 1K 4 1, 2, 20, 34
679 1K 5 2, 4, 14, 149, 930
680 1K 1 40
681 1K 6 2, 287, 362, 491, 574, 771
682 1K 1 616
683 1K 1 738
684 1K 6 3, 18, 20, 29, 77, 406
685 1K 5 6, 24, 32, 120, 465
686 1K 2 64, 380
687 1K 7 1, 5, 12, 28, 196, 381, 437
688 1K 3 172, 417, 701
689 1K 2 4, 16
690 1K 1 3
691 1K 1 314
692 1K 2 4, 788
693 1K 2 5, 28
694 1K 2 227, 990
695 1K 4 2, 40, 140, 738
696 1K 3 4, 130, 824
697 1K 3 1, 3, 36
698 1K 5 10, 48, 136, 280, 912
699 1K 2 23, 86
700 1K 4 23, 60, 316, 431
701 10K 1 8662
702 1K 2 1, 9
703 1K 2 6, 8
704 1K 2 12, 172
705 1K 1 197
706 1K 2 70, 80
707 1K 1 12
708 1K 3 6, 18, 30
709 1K 6 9, 17, 26, 112, 172, 430
710 1K 3 2, 22, 28
711 1K 5 21, 39, 219, 726, 909
712 1K 2 4, 8
713 1K 1 14
714 1K 6 2, 3, 6, 10, 82, 968
715 1K 7 3, 4, 8, 9, 41, 53, 93
716 1K 3 8, 18, 134
717 1K 1 59
718 1K 2 144, 324
719 1K 1 16
720 1K 4 3, 18, 56, 161
721 1K 6 1, 2, 3, 46, 335, 824
722 1K 1 972
723 1K 4 2, 38, 40, 297
724 1K 5 3, 4, 5, 26, 140
725 1K 2 4, 654
726 1K 4 6, 15, 57, 822
727 1K 1 1
728 1K 3 16, 232, 264
729 1K 3 1, 10, 60
730 1K 2 4, 50
731 1K 2 14, 72
732 10K 1 1803
733 1K 2 5, 825
734 1K 2 2, 48
735 1K 5 3, 14, 18, 50, 285
736 1K 7 1, 2, 32, 46, 84, 149, 310
737 1K 3 12, 152, 232
738 1K 2 86, 969
739 1K 5 12, 18, 82, 112, 222
740 1K 2 766, 906
741 1K 2 4, 21
742 1K 3 11, 41, 189
743 1K 1 238
744 1K 6 1, 34, 112, 120, 280, 587
745 1K 3 71, 582, 599
746 1K 2 40, 190
747 1K 4 20, 48, 65, 980
748 1K 5 1, 17, 94, 268, 962
749 1K 2 6, 10
750 1K 4 2, 8, 83, 962
751 1K 1 870
752 1K 2 4, 48
753 1K 3 40, 160, 756
754 1K 6 2, 40, 72, 100, 112, 596
755 1K 3 2, 50, 234
756 1K 3 1, 3, 20
757 100K 0
758 10K 1 3014
759 1K 1 802
760 1K 2 267, 370
761 1K 2 4, 8
762 1K 2 1, 381
763 1K 3 1, 12, 934
764 1K 2 2, 392
765 1K 4 2, 5, 11, 35
766 1K 2 81, 117
767 100K 0
768 1K 2 65, 184
769 1K 8 1, 2, 17, 95, 143, 178, 227, 400
770 1K 2 116, 288
771 1K 3 6, 182, 456
772 1K 2 3, 677
773 1K 3 2, 34, 350
774 1K 5 1, 30, 136, 184, 834
775 1K 7 3, 4, 11, 39, 93, 389, 924
776 1K 4 6, 30, 44, 420
777 1K 5 3, 296, 484, 911, 912
778 1K 4 4, 34, 69, 844
779 10K 1 1014
780 1K 2 5, 99
781 1K 4 4, 12, 192, 412
782 10K 2 1200, 4216
783 1K 5 1, 4, 6, 17, 18
784 1K 1 6
785 1K 2 2, 32
786 1K 5 1, 6, 12, 232, 515
787 1K 2 20, 45
788 20K 1 13540
789 1K 2 2, 518
790 1K 3 5, 60, 306
791 1K 2 26, 60
792 1K 4 12, 20, 51, 363
793 1K 5 1, 8, 10, 197, 420
794 1K 1 962
795 1K 2 52, 370
796 1K 4 9, 21, 119, 366
797 10K 2 5188, 7296
798 1K 2 5, 6
799 1K 5 1, 5, 11, 53, 550
800 1K 3 12, 52, 168
801 1K 4 53, 135, 431, 905
802 1K 1 1
803 1K 3 2, 78, 468
804 1K 5 3, 35, 130, 155, 274
805 1K 3 16, 18, 59
806 1K 4 2, 46, 50, 724
807 1K 5 36, 135, 225, 351, 468
808 1K 3 2, 84, 141
809 1K 1 10
810 10K 2 2440, 6795
811 1K 5 99, 148, 184, 264, 527
812 1K 2 44, 136
813 1K 3 1, 18, 21
814 1K 6 3, 8, 27, 47, 57, 104
815 1K 5 2, 6, 30, 164, 750
816 1K 4 6, 42, 249, 934
817 100K 0
818 1K 3 2, 112, 354
819 1K 7 1, 2, 20, 33, 89, 137, 210
820 1K 9 1, 5, 6, 8, 45, 50, 191, 453, 796
821 1K 2 14, 554
822 1K 2 3, 41
823 10K 3 1089, 2361, 4509
824 1K 2 2, 184
825 1K 6 5, 20, 35, 66, 94, 275
826 1K 4 1, 5, 56, 364
827 10K 1 8452
828 1K 4 1, 60, 742, 982
829 1K 4 4, 26, 86, 982
830 100K 0
831 1K 4 6, 282, 341, 446
832 1K 2 65, 327
833 1K 2 18, 104
834 1K 7 4, 8, 24, 75, 195, 694, 723
835 1K 2 24, 93
836 10K 1 1048
837 1K 1 1
838 1K 2 104, 116
839 10K 3 2172, 3000, 5674
840 1K 6 1, 12, 15, 46, 95, 112
841 1K 7 12, 29, 231, 506, 540, 648, 695
842 1K 2 52, 576
843 1K 3 4, 9, 26
844 1K 4 9, 34, 144, 202
845 1K 3 10, 70, 194
846 1K 3 18, 171, 284
847 1K 3 1, 9, 112
848 1K 2 2, 940
849 1K 7 3, 16, 22, 23, 77, 279, 707
850 1K 5 5, 17, 59, 119, 132
851 1K 2 12, 264
852 1K 3 45, 161, 200
853 1K 4 2, 6, 406, 866
854 1K 5 2, 22, 26, 66, 432
855 1K 3 2, 87, 107
856 1K 5 1, 5, 74, 144, 288
857 1K 2 12, 516
858 1K 3 1, 24, 264
859 1K 3 2, 10, 80
860 1K 2 4, 120
861 1K 9 1, 2, 4, 5, 32, 146, 444, 474, 740
862 1K 3 11, 176, 184
863 1K 3 4, 12, 46
864 1K 1 322
865 1K 3 1, 9, 10
866 1K 1 14
867 1K 3 65, 285, 628
868 1K 5 5, 16, 45, 120, 988
869 20K 2 12288, 17086
870 1K 5 4, 11, 87, 201, 580
871 1K 3 3, 20, 89
872 100K 0
873 1K 7 2, 4, 21, 22, 262, 554, 777
874 1K 7 3, 45, 46, 66, 266, 624, 728
875 1K 3 58, 176, 584
876 1K 3 1, 3, 102
877 1K 2 4, 183
878 1K 2 114, 436
879 1K 4 1, 33, 40, 108
880 1K 6 2, 10, 22, 33, 105, 695
881 1K 2 2, 600
882 1K 5 3, 4, 9, 24, 396
883 1K 4 2, 41, 341, 834
884 1K 2 2, 36
885 1K 5 4, 14, 15, 42, 78
886 1K 1 33
887 1K 1 32
888 1K 4 5, 18, 220, 658
889 1K 4 3, 34, 333, 389
890 37.4K 1 37376
891 1K 6 1, 2, 3, 18, 112, 158
892 1K 1 596
893 100K 0
894 1K 3 11, 17, 40
895 1K 5 1, 16, 17, 110, 370
896 1K 5 4, 16, 34, 260, 780
897 1K 2 27, 123
898 1K 1 1
899 1K 2 2, 152
900 1K 4 1, 3, 4, 81
901 1K 2 23, 629
902 1K 1 16
903 1K 2 302, 728
904 1K 9 3, 4, 20, 78, 80, 93, 147, 749, 999
905 1K 4 4, 14, 30, 40
906 1K 5 4, 93, 166, 292, 356
907 1K 1 327
908 1K 4 2, 96, 256, 482
909 1K 4 3, 15, 29, 60
910 1K 5 2, 11, 45, 52, 387
911 1K 3 4, 8, 160
912 1K 2 1, 36
913 1K 3 36, 126, 154
914 1K 3 18, 106, 120
915 1K 4 3, 12, 238, 438
916 1K 4 1, 39, 65, 540
917 1K 2 44, 408
918 1K 1 653
919 1K 4 1, 4, 23, 863
920 1K 1 142
921 1K 4 1, 4, 118, 294
922 1K 1 41
923 10K 1 4470
924 1K 5 17, 53, 90, 95, 232
925 1K 2 2, 87
926 1K 2 10, 22
927 1K 1 96
928 1K 2 1, 90
929 1K 2 28, 562
930 1K 2 4, 6
931 1K 3 3, 16, 70
932 200K 0
933 1K 3 4, 29, 766
934 1K 3 51, 66, 436
935 1K 1 84
936 1K 5 26, 129, 201, 287, 723
937 1K 1 56
938 1K 5 12, 20, 62, 540, 696
939 1K 3 15, 120, 579
940 1K 4 42, 137, 244, 510
941 1K 3 24, 46, 964
942 1K 1 243
943 1K 3 5, 170, 794
944 1K 4 4, 188, 268, 350
945 1K 2 36, 84
946 1K 5 2, 17, 186, 545, 561
947 1K 1 120
948 1K 3 36, 38, 130
949 1K 1 9
950 6K 1 5956
951 1K 8 1, 3, 4, 20, 44, 108, 227, 717
952 1K 3 41, 604, 808
953 64K 1 60994
954 1K 4 2, 8, 21, 30
955 1K 1 173
956 1K 1 714
957 1K 1 17
958 1K 2 10, 520
959 1K 5 10, 74, 190, 254, 324
960 1K 5 1, 4, 6, 111, 674
961 1K 6 1, 3, 6, 22, 44, 974
962 1K 1 64
963 1K 2 81, 525
964 1K 1 50
965 1K 4 2, 8, 400, 584
966 1K 5 6, 9, 10, 11, 576
967 1K 3 12, 53, 165
968 1K 3 6, 64, 88
969 1K 4 2, 15, 75, 216
970 1K 6 1, 6, 9, 10, 240, 514
971 1K 4 6, 24, 94, 600
972 1K 4 15, 28, 39, 40
973 1K 2 30, 40
974 10K 1 1622
975 1K 7 1, 3, 6, 80, 664, 671, 756
976 1K 2 3, 933
977 1K 1 48
978 1K 3 26, 46, 64
979 1K 5 4, 16, 62, 81, 465
980 1K 6 2, 6, 8, 24, 30, 108
981 1K 2 118, 146
982 1K 4 1, 4, 32, 392
983 1K 4 2, 24, 26, 194
984 1K 3 33, 39, 60
985 1K 5 3, 10, 12, 322, 988
986 1K 2 4, 102
987 1K 5 8, 101, 141, 203, 261
988 1K 4 1, 8, 113, 470
989 1K 2 68, 310
990 1K 2 3, 272
991 1K 7 1, 4, 9, 34, 87, 294, 484
992 200K 0
993 1K 5 1, 14, 40, 41, 390
994 1K 7 1, 3, 4, 282, 492, 562, 608
995 1K 1 110
996 1K 7 5, 6, 20, 46, 56, 417, 705
997 100K 0
998 1K 2 34, 694
999 200K 8 3, 99, 546, 554, 1406, 1606, 1893, 14796
1000 1K 6 8, 10, 27, 64, 75, 107
1001 1K 3 28, 34, 128
1002 1K 7 1, 8, 47, 113, 129, 147, 207
1003 1K 2 1, 346
1004 30K 1 29684
1005 100K 0
1006 1K 7 3, 4, 17, 27, 152, 436, 610
1007 100K 0
1008 1K 6 1, 2, 21, 56, 452, 976
1009 1K 2 18, 20
1010 1K 3 4, 6, 114
1011 1K 6 2, 4, 9, 17, 131, 723
1012 1K 2 1, 4
1013 1K 4 6, 8, 240, 264
1014 1K 3 2, 136, 906
1015 1K 3 71, 141, 372
1016 1K 5 14, 58, 316, 584, 656
1017 1K 2 1, 248
1018 1K 3 16, 20, 22
1019 1K 1 444
1020 1K 5 3, 11, 90, 100, 884
1021 1K 4 1, 5, 86, 206
1022 20K 2 6064, 14496
1023 1K 2 1, 494
1024 PrimeGrid
Proth Prime
Search		 2025-11-14 385096 13 38, 344, 1197, 4364, 10901, 13281, 21693, 30158, 64131, 86848, 117785, 142649, 201257

Original information obtained from:
Prime Wiki
Williams Primes & Dual Williams Primes