A332100 Primes p such that 65535*p is not of the form q + 2^a + 2^b with a, b > 0 and q prime.

17047, 52981, 138181, 327581, 412037, 496283, 1678891, 2161769, 2295367, 2689571, 2746699, 2825827, 2839819, 3063629, 3276181, 3651463, 3792209, 4094021, 4221953, 4944581, 4987079, 5316253, 6112147, 6313493, 6723257, 6931163, 7137047, 7700659, 8050279, 8674453, 9773839, 9780787, 9991211, 11084609, 11402113, 12315223, 12684449, 14612617

Offset

1,1

Comments

All terms > 5 of A156695 appear to be divisible by 255 = 2^8-1, many are also divisible by 257 = 2^8+1, and for roughly 10% of these (at least up to 10^12), the remaining factor is prime. This sequence lists these primes. So (65535*a(n)) is a (probably infinite) subsequence of A156695.

Links

Table of n, a(n) for n=1..38.

Prog

(PARI) is(n)={is_A156695(65535*n)&&isprime(n)}

Crossrefs

Cf. A156695.

Sequence in context: A265972 A265927 A252647 * A252129 A252472 A233618

Adjacent sequences: A332097 A332098 A332099 * A332101 A332102 A332103

Keyword

nonn

Author

M. F. Hasler, Sep 29 2020

Status

approved