A112634 Mersenne prime indices that are not Gaussian primes.

2, 5, 13, 17, 61, 89, 521, 2281, 3217, 4253, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 132049, 859433, 1398269, 2976221, 3021377, 6972593, 13466917, 30402457, 32582657, 42643801, 43112609

Offset

1,1

Comments

57885161, 74207281 and 77232917 are in this sequence as well. - Ivan Panchenko, Apr 13 2018

82589933 is in the sequence as well. - David Benjamin, Mar 30 2022

Links

Table of n, a(n) for n=1..28.

C. K. Caldwell, The largest known primes.

Formula

A000043 INTERSECT A002313. - R. J. Mathar, Oct 06 2008

A000043 SET-MINUS A112633.

Prog

(PARI) is(n)=n%4 < 3 && isprime(n) && isprime(2^n-1) \\ Charles R Greathouse IV, Nov 28 2016

Crossrefs

Cf. A112633, A000043, A002313.

Sequence in context: A164620 A333876 A156013 * A303281 A235204 A354706

Adjacent sequences: A112631 A112632 A112633 * A112635 A112636 A112637

Keyword

nonn

Author

Jorge Coveiro, Dec 27 2005

Extensions

Edited by R. J. Mathar, Oct 06 2008

a(26)-a(28) from Ivan Panchenko, Apr 13 2018

Status

approved