A229856 Primes of the form 384*k + 257.

257, 641, 1409, 3329, 4481, 7937, 9473, 9857, 11393, 11777, 12161, 13313, 13697, 14081, 15233, 16001, 17921, 19073, 19457, 19841, 21377, 23297, 25601, 28289, 30593, 30977, 35201, 35969, 36353, 37889, 38273, 39041, 40193, 40577, 40961, 41729, 43649, 44417

Offset: 1

Author

Arkadiusz Wesolowski, Oct 01 2013

Keywords

• nonn

Comments

Every Fermat number greater than 257 has a prime factor of the form 384*k + 257, k > 0.

Links

• Wikipedia, Fermat number

Crossrefs

Subsequence of A107181 (primes of the form 8x^2+9y^2).

Cf. A000215, A023394, A094358, A229853, A229855, A229856.

Programs

Magma

[384*n+257 : n in [0..115] | IsPrime(384*n+257)];

Mathematica

Select[Table[384*n + 257, {n, 0, 115}], PrimeQ]