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A145045 Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 607 mod 6! 4
107, 86243, 756839, 25964951, 37156667 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Mersenne numbers (with exception first two) are congruent to 31, 127, 271, 607 mod 6!. This sequences is subset of A000043.

LINKS

Table of n, a(n) for n=1..5.

MATHEMATICA

p = {2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 43112609}; a = {}; Do[If[Mod[2^p[[n]] - 1, 6! ] == 607, AppendTo[a, p[[n]]]], {n, 1, Length[p]}]; a (*Artur Jasinski*)

CROSSREFS

A000043, A000668, A124477, A139484, A145038, A145039, A145041, A145042, A145044, A145045, A145046

Sequence in context: A114356 A160488 A158476 * A113471 A057388 A192071

Adjacent sequences:  A145042 A145043 A145044 * A145046 A145047 A145048

KEYWORD

nonn

AUTHOR

Artur Jasinski, Sep 30 2008

STATUS

approved

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Last modified September 20 12:42 EDT 2017. Contains 292271 sequences.