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Primes of the form 384*n + 1.
3

%I #13 Sep 08 2022 08:46:06

%S 769,1153,2689,3457,4993,6529,7297,7681,9601,10369,10753,12289,13441,

%T 14593,15361,18049,18433,20353,21121,22273,23041,26113,26497,26881,

%U 29569,31489,31873,32257,33409,36097,37633,39937,43777,45697,49537,49921,52609,53377

%N Primes of the form 384*n + 1.

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

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Fermat_number">Fermat number</a>

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

%o (Magma) [384*n+1 : n in [1..139] | IsPrime(384*n+1)]

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

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

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Oct 01 2013