A231576 Sequence of pairs k,g such that k is the smallest odd number and k*2^n-1-g, k*2^n-1, k*2^n-1+g are three consecutive primes in arithmetic progression.

3, 2, 53, 12, 33, 6, 69, 6, 19, 6, 2193, 12, 93, 6, 113, 6, 87, 6, 413, 12, 1165, 12, 143, 6, 237, 6, 47, 6, 315, 18, 779, 6, 631, 30, 797, 6, 735, 12, 567, 18, 397, 6, 351, 24, 195, 18, 39, 36, 2719, 6, 971, 6, 1369, 30, 635, 18, 1501, 12, 593, 72, 2053, 6

Offset

1,1

Links

Pierre CAMI, Table of n, a(n) for n = 1..1300

Pierre CAMI, PFGW Script

Example

3*2^1-1-2=3, 3*2^1-1=5, 3*2^1-1+2=7, so first pair = 3,2 (the only one with g=2).
53*2^2-1-12=199, 53*2^2-1=211, 53*2^2-1+12=223, so second pair = 53,12.

Crossrefs

Cf. A228452, A228454, A230699, A230852.

Sequence in context: A093892 A104254 A336519 * A336520 A190286 A063513

Adjacent sequences: A231573 A231574 A231575 * A231577 A231578 A231579

Keyword

nonn

Author

Pierre CAMI, Nov 11 2013

Status

approved