A249382 -id:A249382 - cp's OEIS frontend

A249383 Smallest odd prime number Q such that Q*2^P-1 is also prime with P Mersenne prime exponent A000043(n).

3, 3, 7, 3, 31, 7, 61, 43, 79, 19, 739, 103, 2707, 4513, 139, 13, 4027, 28027, 14029, 87151, 11257, 8677, 122449, 104161, 113287, 216211, 150097, 862009, 876721, 414949, 4590451, 1391281

Offset: 1

Pierre CAMI, Oct 27 2014

nonn

a(32) is a 227838-digit certified prime.

Does a(n) exist for each n? - Charles R Greathouse IV, Oct 28 2014

Cf. A000043, A249382, A249384.

lista(nn) = {vmp = readvec("b000043.txt"); for (n=1, nn, k=2; while(!isprime(prime(k)*2^vmp[n]-1), k++); print1(prime(k), ", "););} \\ Michel Marcus, Oct 27 2014

A249384 Smallest odd prime number Q such that Q*2^P+1 is also prime, where P is a Mersenne prime exponent A000043(n).

Original entry on oeis.org

3, 5, 3, 5, 5, 53, 11, 239, 53, 191, 1229, 5, 233, 347, 1367, 9767, 2063, 89, 14009, 3329, 19991, 50849, 2711, 337871, 46301, 2543, 413093, 1157111, 615161, 1138649, 3778427

Offset: 1

Pierre CAMI, Oct 27 2014

Cf. A000043, A249382, A249383.

lista(nn) = {vmp = readvec("b000043.txt"); for (n=1, nn, k=2; while(!isprime(prime(k)*2^vmp[n]+1), k++); print1(prime(k), ", "););} \\ Michel Marcus, Oct 27 2014

cp's OEIS Frontend

A249383 Smallest odd prime number Q such that Q*2^P-1 is also prime with P Mersenne prime exponent A000043(n).

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