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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 55 sequences in this Wiki:

k Index Count Nash Max n
3 1 50 2132 18000000
9 2 66 2297 4000000
15 3 63 2873 9000000
21 4 48 2374 9000000
27 5 49 2142 8850000
33 6 41 1960 9000000
39 7 88 3219 9000000
45 8 57 2581 9000000
63 11 69 3116 3322000
129 22 37 2357 3328805
177 30 75 3473 3070000
207 35 69 3570 3070000
255 43 66 2629 3070000
261 44 95 4016 3070000
297 50 34 1682 3070000
345 58 89 4308 3070000
417 70 75 3454 3070000
435 73 93 4603 3070000
453 76 54 2586 3070000
513 86 62 2665 3070000
555 93 101 4497 3070000
615 103 62 2908 3070000
639 107 85 3560 3070000
699 117 48 1894 3070000
759 127 39 2127 3070000
765 128 87 4734 3070000
789 132 44 2515 3070000
801 134 32 1434 3070000
915 153 53 2802 3070000
933 156 74 3148 3070000
1023 171 82 3931 3070000
1065 178 79 4065 3070000
1149 192 38 2261 3070000
1461 244 31 1347 1640000
3207 535 57 2518 1640000
3777 630 61 3246 1640000
4119 687 23 1352 1640000
4665 778 54 2280 1640000
5307 885 58 3348 1640000
5505 918 55 3173 1640000
6219 1037 39 1826 1640000
9267 1545 10 498 200000
15735 2623 35 2954 50000
19683 3281 32 1802 4000000
32247 5375 23 1736 100000
48495 8083 21 3088 1000
53133 8856 18 1475 50000
66741 11124 9 811 50000
67275 11213 25 3481 1000
95283 15881 27 1489 50000
2441205 406868 106 6132 500000
84966861 14161144 30 2140 150000
2003663613 333943936 39 2762 195000
1527888802614951 254648133769159 28 2929 10000
32268186233370440249391495 -3.6641581263172E+17 177 7953 340000
Proth primes