A265503 Numbers n such that n*2^2203 - 1 is prime.

1, 13, 553, 861, 1983, 2065, 2403, 4371, 6226, 6553, 6580, 10128, 10998, 11193, 12411, 12598, 12909, 13056, 13194, 13399, 14589, 15829, 18429, 18436, 19315, 19900, 21574, 23599, 24006, 24024, 24415, 25704, 27225, 27651, 28689, 29461, 29805, 29868, 31143, 31186, 32674, 33706, 34306, 35016, 36118

Offset: 1

Author

Vardan Semerjyan, Dec 09 2015

Keywords

• nonn

Comments

The exponent of 2 in the expression, 2203, is a Mersenne exponent.

Examples

			n = 1 is a term since 2^2203 - 1 is prime (the 16th Mersenne prime).
		

Crossrefs

Cf. A000043, A001348, A005122.

Programs

MATLAB

if isprime(n*2^2203-1)
disp(n)
end

Magma

[n: n in [1..7*10^3] |IsPrime(n*2^2203-1)]; // Vincenzo Librandi, Dec 10 2015

Mathematica

Select[Range@ 36200, PrimeQ[# 2^2203 - 1] &] (* Michael De Vlieger, Dec 09 2015 *)

PARI

is(n)=ispseudoprime(n*2^2203-1) \\ Anders Hellström, Dec 09 2015

Extensions

More terms from Michael De Vlieger, Dec 09 2015