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Cullen prime table
Overview
Automatically generated table from available Cullen primes.
Explanations
The colors used in the table are defined as:
- : Base is reserved
- : Base is not reserved
Primes table
There are 111 bases:
| Base | max n | Date | # | Primes for n |
|---|---|---|---|---|
| 2 | 21000000 | 2021-09-11 PrimeGrid Cullen Prime Search |
16 | 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881 |
| 3 | 1200000 | 2019-04-28 | 14 | 2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290, 337590, 1183414 |
| 4 | 250000 | 2023-04-28 Mark Rodenkirch |
13 | 1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375 |
| 5 | 379575 | 2023-04-28 Mark Rodenkirch |
2 | 1242, 18390 |
| 6 | 200000 | 2023-04-28 Mark Rodenkirch |
14 | 1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496 |
| 7 | 255681 | 2023-04-28 Mark Rodenkirch |
3 | 34, 1980, 9898 |
| 8 | 800000 | 2018-08-14 | 8 | 5, 17, 23, 1911, 20855, 35945, 42816, 749130 |
| 9 | 222431 | 2023-04-28 Mark Rodenkirch |
5 | 2, 12382, 27608, 31330, 117852 |
| 10 | 270026 | 2023-04-28 Mark Rodenkirch |
10 | 1, 3, 9, 21, 363, 2161, 4839, 49521, 105994, 207777 |
| 11 | 600000 | 2023-03-15 Oliver Kruse |
1 | 10 |
| 12 | 254519 | 2022-02-12 (YaoPlaysMC) |
8 | 1, 8, 247, 3610, 4775, 19789, 187895, 345951 |
| 13 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 14 | 246922 | 2019-11-23 | 13 | 3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545 |
| 15 | 1500000 | 2023-04-29 | 10 | 8, 14, 44, 154, 274, 694, 17426, 59430, 451554, 551878 |
| 16 | 200000 | 2023-04-27 | 8 | 1, 3, 55, 81, 223, 1227, 3012, 3301 |
| 17 | 281261 | 2019-11-23 | 2 | 19650, 236418 |
| 18 | 203597 | 2023-04-25 | 12 | 1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239, 150940, 155928 |
| 19 | 305777 | 2019-11-23 | 1 | 6460 |
| 20 | 219976 | 2023-04-25 | 5 | 3, 6207, 8076, 22356, 151456 |
| 21 | 274099 | 2019-11-23 | 4 | 2, 8, 26, 67100 |
| 22 | 200000 | 2023-04-27 | 6 | 1, 15, 189, 814, 19909, 72207 |
| 23 | 200000 | 2023-04-27 | 2 | 4330, 89350 |
| 24 | 200000 | 2023-04-27 | 3 | 2, 8, 368 |
| 25 | 2809620 | 2019-09 | 1 | 2805222 |
| 26 | 200000 | 2023-04-27 | 6 | 117, 3143, 3886, 7763, 64020, 88900 |
| 27 | 215413 | 2023-04-23 | 6 | 2, 56, 23454, 259738, 312498, 437960 |
| 28 | 200618 | 2023-04-23 | 6 | 1, 48, 468, 2655, 3741, 49930 |
| 29 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 30 | 200000 | 2023-04-27 | 22 | 1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718, 107263, 152520, 154164 |
| 31 | 200000 | 2023-04-27 | 1 | 82960 |
| 32 | 200000 | 2023-05-01 | 1 | 5 |
| 33 | 200000 | 2023-05-01 | 5 | 2, 632, 1840, 91848, 164196 |
| 34 | 200000 | 2023-05-01 | 6 | 25, 33, 103, 195, 303, 415 |
| 35 | 200000 | 2023-05-01 | 2 | 304, 19116 |
| 36 | 200000 | 2023-05-01 | 11 | 1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481, 191013 |
| 37 | 259437 | 2023-04-30 | 1 | 36 |
| 38 | 200000 | 2023-05-05 Ryan Propper |
4 | 3, 1209, 430157, 884411 |
| 39 | 209347 | 2023-04-30 | 3 | 368, 402, 36592 |
| 40 | 100000 | 2023-04-01 Mark Rodenkirch |
4 | 1, 202, 74844, 88195 |
| 41 | 1810126 | 2018-03-11 | 1 | 1806676 |
| 42 | 170000 | 2023-04-01 Mark Rodenkirch |
9 | 1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296 |
| 43 | 158019 | 2023-04-01 Mark Rodenkirch |
1 | 390 |
| 44 | 100000 | 2023-04-01 Mark Rodenkirch |
1 | 53 |
| 45 | 120049 | 2023-04-01 Mark Rodenkirch |
3 | 2, 8, 84 |
| 46 | 100000 | 2023-04-01 Mark Rodenkirch |
3 | 1, 813, 1576 |
| 47 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 48 | 100000 | 2023-04-01 Mark Rodenkirch |
9 | 3, 9, 14, 79, 114, 182, 9328, 13569, 60261 |
| 49 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 50 | 104798 | 2023-04-01 Mark Rodenkirch |
3 | 9665, 11844, 92278 |
| 51 | 212349 | 2019-11-23 | 6 | 62, 1376, 10108, 29726, 65816, 136628 |
| 52 | 158573 | 2019-11-23 | 3 | 1, 168, 38559 |
| 53 | 1360054 | 2017-08-21 | 1 | 1341174 |
| 54 | 75855 | 2019-11-23 | 4 | 3, 8, 29, 11270 |
| 55 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 56 | 125830 | 2019-11-23 | 2 | 1072, 31265 |
| 57 | 119337 | 2019-11-23 | 4 | 234, 470, 1670, 1898 |
| 58 | 197120 | 2019-11-23 | 8 | 1, 3, 34, 181, 252, 1135, 2139, 4510 |
| 59 | 149849 | 2019-11-23 | 2 | 220, 74460 |
| 60 | 87580 | 2019-11-23 | 11 | 1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423, 70615 |
| 61 | 146157 | 2019-11-23 | 2 | 142, 76710 |
| 62 | 154473 | 2019-11-23 | 3 | 1295, 7107, 43379 |
| 63 | 81489 | 2019-11-23 | 3 | 8, 50, 54398 |
| 64 | 80000 | 2019-11-23 | 4 | 3, 399, 7813, 14253 |
| 65 | 126417 | 2019-11-23 | 1 | 16990 |
| 66 | 106152 | 2019-11-23 | 9 | 1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778 |
| 67 | 171857 | 2019-11-23 | 2 | 474, 52932 |
| 68 | 129897 | 2010-05-25 | 1 | 129897 |
| 69 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 70 | 74775 | 2019-11-23 | 8 | 1, 3, 13, 5928, 10585, 18157, 20155, 36534 |
| 71 | 158622 | 2019-11-23 | 1 | 13948 |
| 72 | 96313 | 2019-11-23 | 9 | 1, 2, 35, 119, 274, 607, 3185, 14360, 25201 |
| 73 | 2531554 | 2021-09 | 1 | 2525532 |
| 74 | 131086 | 2019-11-23 | 3 | 3, 15, 26770 |
| 75 | 110363 | 2019-11-23 | 1 | 2 |
| 76 | 106662 | 2019-11-23 | 3 | 1161, 5401, 15516 |
| 77 | 131667 | 2019-11-23 | 1 | 12198 |
| 78 | 58516 | 2019-11-23 | 5 | 1, 25, 105, 254, 10671 |
| 79 | 692232 | 2016-10-08 | 1 | 682156 |
| 80 | 99392 | 2019-11-23 | 5 | 5, 273, 3273, 23074, 59871 |
| 81 | 280000 | 2019-11-23 | 4 | 350, 73272, 126042, 178192 |
| 82 | 110750 | 2019-11-23 | 3 | 1, 1407, 22515 |
| 83 | 163911 | 2019-11-23 | 1 | 1242 |
| 84 | 70796 | 2019-11-23 | 2 | 26, 59215 |
| 85 | 131529 | 2019-11-23 | 3 | 186, 1134, 39496 |
| 86 | 159482 | 2019-11-23 | 5 | 3, 17, 45, 267, 117172 |
| 87 | 224455 | 2019-11-23 | 3 | 2, 118, 34150 |
| 88 | 123155 | 2019-11-23 | 3 | 1, 411, 1191 |
| 89 | 281849 | 2019-11-23 | 1 | 298 |
| 90 | 159281 | 2019-11-23 | 5 | 14, 514, 587, 27419, 49527 |
| 91 | 256545 | 2019-11-23 | 1 | 101670 |
| 92 | 195230 | 2019-11-23 | 4 | 9, 252, 3900, 9215 |
| 93 | 219271 | 2019-11-23 | 4 | 2, 3332, 5642, 183500 |
| 94 | 108252 | 2019-11-23 | 4 | 775, 1207, 3277, 11169 |
| 95 | 121773 | 2019-11-23 | 3 | 202, 370, 18258 |
| 96 | 167204 | 2019-11-23 | 7 | 1, 2, 3, 8, 16350, 43895, 143717 |
| 97 | 138893 | 2019-11-23 | 1 | 1374 |
| 98 | 203858 | 2019-11-23 | 6 | 63, 622, 1125, 4517, 25830, 174885 |
| 99 | 185529 | 2019-11-23 | 6 | 2, 332, 21868, 26982, 31328, 138846 |
| 100 | 165295 | 2019-11-23 | 7 | 1, 427, 2475, 21369, 72048, 98035, 316903 |
| 101 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 109 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 113 | 427194 | 2012-01-29 | 1 | 427194 |
| 116 | 1325238 | 2018-01-18 | 1 | 1323365 |
| 121 | 2819560 | 2023-05-07 PrimeGrid Generalized Cullen Prime Search |
0 | |
| 256 | 650000 | 2021 | 6 | 1, 57, 1641, 2076, 6040, 371400 |
| 512 | 600000 | 2021 | 3 | 9, 75, 56271 |
| 1024 | 500000 | 2020 | 2 | 3, 29650 |
| 8192 | 400000 | 2018 | 1 | 298989 |
| 16384 | 400000 | 2020 | 3 | 1963, 94189, 222216 |
| 32768 | 350000 | 2020 | 2 | 5, 51359 |
| 131072 | 300000 | 2020 | 3 | 5, 18825, 809698 |
