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A112648 Integers k for which the k-th Mersenne prime exponent is a Gaussian prime (3 mod 4). 1
2, 4, 7, 8, 11, 12, 14, 15, 16, 20, 28, 29, 31, 32, 34, 40, 41, 42, 45 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

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.

MATHEMATICA

Select[Range@ 45, Mod[MersennePrimeExponent@ #, 4] == 3 &] (* Michael De Vlieger, Jul 22 2018 *)

CROSSREFS

Cf. A000043, A112633, A112634, A112649.

Sequence in context: A050082 A209864 A182654 * A307284 A323108 A187418

Adjacent sequences:  A112645 A112646 A112647 * A112649 A112650 A112651

KEYWORD

nonn

AUTHOR

Jorge Coveiro, Dec 27 2005

EXTENSIONS

Edited by Don Reble, Jan 25 2006

More terms from Gord Palameta, Jul 21 2018

STATUS

approved

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Last modified October 26 20:42 EDT 2021. Contains 348269 sequences. (Running on oeis4.)