A229856 - OEIS

A229856

Primes of the form 384*n + 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

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OFFSET

1,1

COMMENTS

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

LINKS

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

Wikipedia, Fermat number

MATHEMATICA

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

PROG

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