A145044 Primes p (A000043) such that 2^p-1 is prime (A000668) and congruent to 271 mod 6!.

13, 61, 2281, 3217, 23209, 44497, 132049, 13466917, 30402457, 42643801

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..10.

Mathematica

Select[MersennePrimeExponent[Range[47]], PowerMod[2, #, 6!] == 272 &] (* Amiram Eldar, Mar 22 2020 *)

Crossrefs

Cf. A000043, A000668, A124477, A139484, A145038, A112633, A145041, A145042, A145044, A145045, A145046.

Sequence in context: A257216 A135535 A158870 * A264612 A044151 A044532

Adjacent sequences: A145041 A145042 A145043 * A145045 A145046 A145047

Keyword

nonn,more

Author

Artur Jasinski, Sep 30 2008

Extensions

a(10) from Amiram Eldar, Mar 22 2020

Status

approved