A112648 Integers k for which the k-th Mersenne prime exponent is a Gaussian prime (3 mod 4).
2, 4, 7, 8, 11, 12, 14, 15, 16, 20, 28, 29, 31, 32, 34, 40, 41, 42, 45
Offset: 1
Keywords
Examples
A000043(45) = 37156667 is congruent to 3 mod 4, so 45 is in this sequence. A000043(46) = 42643801 is congruent to 1 mod 4, so 46 is not in this sequence.
Programs
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Mathematica
Select[Range@ 45, Mod[MersennePrimeExponent@ #, 4] == 3 &] (* Michael De Vlieger, Jul 22 2018 *)
Extensions
Edited by Don Reble, Jan 25 2006
More terms from Gord Palameta, Jul 21 2018