A265499 Numbers n such that n*2^607 - 1 is prime.

1, 226, 273, 544, 675, 961, 1380, 1968, 2155, 2193, 2596, 3481, 3774, 4074, 4513, 4674, 4866, 4899, 5004, 5418, 5421, 5536, 5815, 5949, 6159, 6249, 6390, 6523, 6526, 6543, 7230, 7281, 7645, 7699, 7968, 8473, 8518, 8724, 8763, 8871, 9519, 9780, 9805

Offset

1,2

Comments

The exponent of 2 in the expression, 607, is a Mersenne exponent.

Links

Table of n, a(n) for n=1..43.

Example

n = 1 is a term since 2^607 - 1 is prime (the 14th Mersenne prime).

Mathematica

Select[Range@ 12250, PrimeQ[# 2^607 - 1] &] (* Michael De Vlieger, Dec 09 2015 *)

Prog

(MATLAB)
if isprime(n*2^607-1)
disp(n)
end
(PARI) is(n)=ispseudoprime(n*2^607 - 1) \\ Anders Hellström, Dec 09 2015
(Magma) [n: n in [1..2*10^4] |IsPrime(n*2^607-1)]; // Vincenzo Librandi, Dec 10 2015

Crossrefs

Cf. A000043, A001348, A005122.

Sequence in context: A013875 A043670 A296898 * A126897 A296810 A067265

Adjacent sequences: A265496 A265497 A265498 * A265500 A265501 A265502

Keyword

nonn,easy

Author

Vardan Semerjyan, Dec 09 2015

Status

approved