A229854 Primes of the form 384*k + 1.

769, 1153, 2689, 3457, 4993, 6529, 7297, 7681, 9601, 10369, 10753, 12289, 13441, 14593, 15361, 18049, 18433, 20353, 21121, 22273, 23041, 26113, 26497, 26881, 29569, 31489, 31873, 32257, 33409, 36097, 37633, 39937, 43777, 45697, 49537, 49921, 52609, 53377

Offset: 1

Author

Arkadiusz Wesolowski, Oct 01 2013

Keywords

• nonn

Comments

Not every composite Fermat number has a prime factor of the form 384*k + 1.

Links

• Wikipedia, Fermat number

Crossrefs

Subsequence of A002476 (primes of form 6m + 1).

Cf. A000215, A023394, A094358, A229850, A229853, A229855, A229856.

Programs

Magma

[384*n+1 : n in [1..139] | IsPrime(384*n+1)];

Mathematica

Select[Table[384*n + 1, {n, 139}], PrimeQ]