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

%I #7 Oct 01 2020 02:37:16

%S 17047,52981,138181,327581,412037,496283,1678891,2161769,2295367,

%T 2689571,2746699,2825827,2839819,3063629,3276181,3651463,3792209,

%U 4094021,4221953,4944581,4987079,5316253,6112147,6313493,6723257,6931163,7137047,7700659,8050279,8674453,9773839,9780787,9991211,11084609,11402113,12315223,12684449,14612617

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

%C 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.

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

%Y Cf. A156695.

%K nonn

%O 1,1

%A _M. F. Hasler_, Sep 29 2020

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Last modified April 16 16:59 EDT 2024. Contains 371749 sequences. (Running on oeis4.)