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Proth numbers of the form k•2n+1 with k mod 3 = 0

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Proth numbers k•2n+1 where k-value is a multiple of 3.

The column "Index" contains the index of the k-value: [math]\displaystyle{ Index\ =\ {k\ +\ 3 \over 6} }[/math]

See also

Table

There are 88 sequences in this Wiki:

k Index Count Nash Max n
3 1 50 2132 21484280
9 2 66 2297 5000000
15 3 65 2873 9000000
21 4 48 2374 9000000
27 5 49 2142 10000000
33 6 41 1960 9000000
39 7 88 3219 9000000
45 8 57 2581 9000000
51 9 63 3076 5000000
63 11 71 3116 5000000
93 16 66 3116 5000000
129 22 38 2357 5000000
165 28 108 5158 5000000
177 30 77 3473 5000000
207 35 69 3570 5000000
255 43 67 2629 5000000
261 44 96 4016 5000000
297 50 36 1682 5000000
345 58 92 4308 5000000
417 70 81 3454 4500000
435 73 95 4603 4500000
453 76 55 2586 4500000
513 86 62 2665 4500000
555 93 102 4497 4500000
579 97 32 1918 4000000
615 103 64 2908 4000000
639 107 85 3560 4000000
699 117 49 1894 4000000
759 127 39 2127 3640000
765 128 87 4734 3640000
789 132 45 2515 3640000
801 134 32 1434 3640000
915 153 54 2802 3640000
933 156 76 3148 3640000
1023 171 83 3931 3640000
1065 178 80 4065 3640000
1071 179 67 3090 3640000
1149 192 38 2261 3640000
1323 221 73 3226 1960000
1461 244 32 1347 1960000
1479 247 55 3237 1960000
1575 263 72 4003 1960000
2187 365 41 2141 1960000
2379 397 29 1696 1960000
2943 491 22 1135 1960000
3207 535 59 2518 1960000
3267 545 40 2071 1960000
3375 563 48 2702 3486000
3777 630 61 3246 1960000
4119 687 23 1352 1960000
4665 778 55 2280 1960000
5193 866 54 2405 1960000
5307 885 58 3348 1960000
5505 918 57 3173 1960000
5703 951 19 851 1960000
5823 971 39 2254 1960000
6219 1037 39 1826 1960000
6807 1135 32 1805 1960000
6843 1141 36 2407 1960000
7233 1206 43 2694 1960000
8139 1357 29 1062 1960000
9267 1545 10 498 1960000
9609 1602 34 2106 1960000
9777 1630 22 1485 1960000
12321 2054 46 2495 300000
15735 2623 35 2954 50000
19683 3281 32 1802 4000000
23451 3909 17 1223 100000
32247 5375 23 1736 100000
42717 7120 7 893 100000
48495 8083 51 3088 1100000
53133 8856 18 1475 50000
60357 10060 34 2209 100000
60849 10142 22 1368 100000
66741 11124 9 811 50000
67275 11213 25 3481 1000
84363 14061 28 1624 100000
85287 14215 20 1630 100000
95283 15881 27 1489 50000
1089927 181655 27 1888 1000000
2441205 406868 106 6132 500000
84966861 14161144 30 2140 150000
314159265 52359878 57 466 314159
577294575 96215763 144 6655 50000
2003663613 333943936 39 2762 195000
1527888802614951 254648133769159 28 2929 10000
32268186233370440249391495 -3.6641581263172E+17 177 7953 340000
945561887392230553579269135 -1.1482867194984E+18 169 8431 600000
Proth primes