OFFSET

1,3

COMMENTS

Primes in the sequence are 2, 5, 13, 1823, 96749, ... - R. J. Mathar, Oct 15 2011

We can write (k+1)*2^k + 1 = {(k+1)/2}*4^{(k+1)/2} + 1, and when k is odd, this takes the form of a generalized Cullen prime (base 4). These are listed in A007646. In other words, {2*A007646 - 1} gives all the odd terms of this sequence. - Jeppe Stig Nielsen, Oct 16 2019

LINKS

Steven Harvey, NearCullen and NearWoodall Primes

PROG

(PARI) isok(n) = isprime((n+1)*2^n+1); \\ Michel Marcus, Nov 09 2013

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

Corrected and extended by Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008

STATUS

approved