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Difference between revisions of "Williams prime PP table"

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[[Category:Williams prime PP| ]]
 
[[Category:Williams prime PP| ]]

Latest revision as of 10:25, 26 August 2024

Primes table

There are 110 sequences:

b Last update max n # Primes for n
2 2024-10-13
PrimeGrid
22,021,811 50 1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189, 3912, 20909, 34350, 42294, 42665, 44685, 48150, 54792, 55182, 59973, 80190, 157169, 213321, 303093, 362765, 382449, 709968, 801978, 916773, 1832496, 2145353, 2291610, 2478785, 5082306, 7033641, 10829346, 16408818
3 2024-09-10
Ryan Propper
5,000,000 33 1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635, 3306, 3522, 9602, 19785, 72698, 233583, 328689, 537918, 887535, 980925, 1154598, 1499606, 1936890, 2016951, 2143374, 4020126, 6402015, 7578378, 9214845, 11279466
5 2024-09-02 10,000,000 21 1, 2, 3, 23, 27, 33, 63, 158, 278, 290, 351, 471, 797, 8462, 28793, 266030, 439191, 862923, 1392287, 1403337, 6546983
6 2024-09-02 7,000,000 32 1, 6, 17, 38, 50, 80, 207, 236, 264, 309, 555, 1128, 1479, 1574, 2808, 3525, 5334, 9980, 13485, 17616, 18846, 24896, 34215, 67914, 115268, 166407, 1246814, 1793775, 2104746, 2396573, 3072198, 6772401
8 2024-07-25
PrimeGrid
1,733,333 27 1, 2, 11, 14, 21, 27, 54, 122, 221, 435, 498, 942, 1118, 1139, 1230, 1614, 1934, 13062, 16634, 128330, 278270, 350342, 1165814, 3259421, 3788762, 4135629, 4444829
9 2020-09-13 100,000 21 2, 6, 9, 11, 51, 56, 81, 941, 1647, 7466, 9477, 9806, 11799, 16941, 33437, 35273, 43284, 93813, 95369, 576837, 1775223
11 2024-09-27 200,000 13 2, 3, 6, 8, 138, 149, 222, 363, 995, 1218, 2072, 2559, 93713
12 2024-10-03 200,000 12 1, 2, 8, 9, 17, 26, 62, 86, 152, 365, 2540, 94389
14 2024-10-12 200,000 15 1, 3, 24, 29, 44, 48, 1350, 1520, 4500, 4668, 38553, 86966, 104390, 159783, 187418
15 2024-10-12 200,000 11 1, 3, 5, 21, 35, 101, 860, 2691, 5250, 8787, 9990
17 2024-10-24 200,000 5 1, 6, 204, 2850, 133716
18 2024-10-24 200,000 6 9, 1529, 2477, 4130, 15218, 170613
20 2024-09-09 100,000 11 1, 6, 191, 468, 644, 1583, 3926, 17163, 24371, 57348, 80487
21 2024-09-09 100,000 8 1, 5, 26, 206, 350, 1547, 1853, 7796
23 2024-09-10 100,000 12 2, 11, 18, 27, 57, 362, 383, 651, 3783, 8603, 27726, 43097
24 2024-09-14 100,000 12 1, 2, 3, 8, 66, 968, 4758, 5790, 17168, 30153, 47649, 79478
26 2024-09-23 100,000 13 2, 5, 179, 377, 425, 491, 2108, 2852, 4517, 15836, 34046, 46466, 70790
27 2024-09-23 100,000 8 1, 5, 6, 165, 825, 27798, 39672, 55730
29 2024-09-25 100,000 11 5, 41, 42, 44, 125, 2013, 3398, 4583, 9032, 40461, 92375
30 2018-03-17 25,000 9 2, 36, 282, 425, 918, 2226, 2274, 3354, 4245
32 2021-04-01 1,800,000 8 5, 105, 284, 326, 8537, 9561, 120054, 729962
33 2019-06-25 10,000 6 1, 629, 699, 1571, 1683, 4286
35 2019-06-25 10,000 8 2, 3, 6, 8, 29, 185, 492, 2028
36 2024-10-03 25,000 5 3, 8, 1163, 7562, 12111
38 2018-04-01 25,000 6 1, 21, 63, 87, 122, 206
39 2019-06-25 10,000 9 3, 9, 44, 89, 356, 1208, 1719, 2915, 4139
41 2020-08-13 50,000 8 1, 6, 11, 39, 636, 1637, 12011, 28419
42 2019-06-25 10,000 7 2, 17, 114, 501, 4793, 5189, 5216
44 2019-06-25 10,000 6 2, 3, 24, 26, 32, 134
45 2019-06-25 10,000 10 2, 15, 21, 39, 183, 255, 849, 1604, 1983, 3314
47 2019-06-25 10,000 4 2, 41, 129, 4089
48 2019-06-25 10,000 7 6, 14, 15, 87, 231, 3125, 9773
50 2019-06-25 10,000 3 1, 6, 2987
51 2019-06-25 10,000 6 183, 351, 464, 1175, 1593, 2084
53 2019-06-25 10,000 7 2, 3, 9, 17, 41, 51, 7179
54 2019-06-25 10,000 11 1, 9, 23, 51, 75, 104, 176, 1233, 3243, 7040, 9447
56 2019-06-25 10,000 9 2, 3, 12, 24, 36, 222, 473, 1451, 4856
57 2019-06-25 10,000 7 1, 2, 9, 14, 113, 224, 1545
59 2024-10-26
Richard Kapek
300,000 2 1, 219
60 2019-06-25 10,000 5 21, 98, 1421, 3083, 5405
62 2019-06-25 10,000 7 1, 2, 14, 18, 998, 1034, 3458
63 2019-06-25 10,000 2 185, 1751
65 2024-10-11 100,000 7 3, 5, 110, 155, 900, 4235, 21606
66 2024-10-11 100,000 5 1, 2, 18, 1130, 14625
68 2024-10-18 100,000 3 2, 41891, 76523
69 2024-10-18 100,000 12 1, 2, 5, 9, 113, 429, 2360, 5621, 5976, 6329, 7631, 58311
71 2024-10-24 100,000 9 1, 2, 3, 20, 93, 633, 1035, 1695, 5511
72 2024-10-24 100,000 4 120, 170, 2970, 4970
74 2024-10-03 25,000 7 2, 12, 78, 272, 798, 2415, 14027
75 2024-10-03 25,000 2 1, 1637
77 2024-10-03 25,000 1 1
78 2024-10-03 25,000 5 1, 5, 15, 42, 7733
80 2024-10-03 25,000 9 1, 24, 33, 147, 222, 225, 426, 1575, 3462
81 2024-10-03 25,000 10 8, 45, 252, 282, 746, 3248, 6078, 8352, 11012, 15494
83 2018-04-14 25,000 8 5, 21, 198, 803, 1334, 4143, 5666, 14774
84 2024-10-03 25,000 6 9, 257, 348, 429, 662, 10119
86 2024-10-03 25,000 3 2, 2921, 3437
87 2024-10-03 25,000 9 2, 9, 24, 276, 366, 390, 3030, 4266, 6056
89 2024-10-03 25,000 10 1, 2, 3, 8, 230, 873, 927, 1029, 5043, 7319
90 2024-10-01 25,000 9 1, 23, 54, 158, 800, 1143, 2342, 5735, 11652
92 2024-10-01 25,000 4 2, 9, 566, 1677
93 2018-04-08 25,000 8 3, 6, 185, 210, 282, 605, 13961, 17553
95 2024-10-01 25,000 7 9, 339, 515, 567, 10962, 13647, 20420
96 2024-10-01 25,000 5 14, 17, 122, 689, 9560
98 2024-10-01 25,000 5 3, 11, 114, 1083, 1418
99 2024-10-01 25,000 3 1, 11, 30
101 2024-09-29 25,000 7 1, 2, 45, 116, 321, 2271, 13766
102 2024-09-29 25,000 9 5, 14, 113, 194, 314, 921, 5850, 12854, 22136
104 2024-09-29 25,000 6 5, 12, 77, 252, 3411, 5081
105 2024-09-29 25,000 7 1, 23, 485, 878, 1433, 3075, 5235
107 2018-04-08 25,000 4 80, 1568, 2630, 6281
108 2024-09-29 25,000 3 398, 1578, 12926
110 2024-09-29 25,000 5 1, 3, 21, 69, 1664
113 2018-04-08 25,000 6 3, 5, 23, 35, 74, 9753
128 2024-07-25
PrimeGrid
742,857 8 3, 41, 138, 153, 8198, 10838, 11718, 16071
158 2018-01-25 25,000 3 141, 225, 5190
171 2019-06-26 10,000 2 1851, 3411
173 2020-06-14 10,000 9 1, 5, 21, 35, 41, 327, 515, 1157, 8918
179 2020-06-14 10,000 9 2, 30, 33, 83, 585, 1970, 4368, 5205, 6681
201 2019-06-26 50,000 1 31274
222 2018-04-27 54,000 1 52725
227 2018-06-19 37,000 1 36321
269 2018-06-19 10,000 1 1398
275 2018-06-19 10,000 2 1911, 8943
302 2018-06-19 10,000 1 1085
327 2020-07-19 135,981 1 135981
339 2019-06-25 10,000 2 1002, 5798
425 2019-05-14 11,229 1 11229
473 2019-05-15 20,000 2 3521, 4031
512 2024-02-29 500,000 9 1, 5, 14, 17, 26, 15164, 21468, 37460, 90996
542 2019-05-15 20,000 1 1806
633 2019-06-25 10,000 1 5246
683 2019-05-15 10,000 1 6774
710 2019-05-20 25,000 1 24110
717 2019-05-21 46,000 1 37506
719 2019-05-21 20,000 1 13418
813 2020-01-06 100,000 0
858 2019-06-25 10,000 1 3749
863 2024-08-21 200,000 0
888 2018-06-23 10,000 2 1647, 4118
912 2019-06-15 10,000 1 4917
929 2019-06-15 10,000 2 3615, 6446
947 2019-06-17 10,000 2 2693, 8870
962 2020-01-10 200,000 0
983 2019-06-17 11,000 3 1875, 7482, 10005
999 2019-06-25 10,000 1 3761
1008 2019-06-17 10,000 1 2771
1010 2019-06-17 10,000 1 3351
1017 2024-01-13 350,000 0
2024 2024-10-18 20,000 5 350, 465, 3822, 6294, 10922
Williams primes