A228452 Smallest prime k such that k*2^n-1 , k*2^n-1+2*j , k*2^n-1+4*j or k*2^n-1-2*j , k*2^n-1 , k*2^n-1+2*j are consecutive primes in arithmetic progression for some j.

3, 53, 19, 3, 19, 593, 313, 113, 1699, 1163, 31, 4217, 31, 47, 7993, 1013, 631, 347, 3793, 3923, 397, 353, 2551, 83, 2719, 971, 3709, 6827, 6361, 593, 2053, 16073, 2719, 2753, 4441, 8663, 31, 131, 61, 5867, 379, 587, 9631, 1907, 8581, 23, 15739, 4049, 2281

Offset

1,1

Links

Pierre CAMI, Table of n, a(n) for n = 1..350

Pierre CAMI, PFGW Script

Example

53*2^2-1-12=199, 53*2^2-1=211 and 53*2^2-1+12=223, so a(2)=53.
19*2^3-1=151, 19*2^3-1+6=157 and 19*2^3-1+12=163, so a(3)=19.

Crossrefs

Cf. A227888.

Sequence in context: A302932 A364441 A143387 * A269458 A288867 A082484

Adjacent sequences: A228449 A228450 A228451 * A228453 A228454 A228455

Keyword

nonn

Author

Pierre CAMI, Oct 27 2013

Status

approved