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

%I #24 Sep 08 2022 08:46:14

%S 1,13,553,861,1983,2065,2403,4371,6226,6553,6580,10128,10998,11193,

%T 12411,12598,12909,13056,13194,13399,14589,15829,18429,18436,19315,

%U 19900,21574,23599,24006,24024,24415,25704,27225,27651,28689,29461,29805,29868,31143,31186,32674,33706,34306,35016,36118

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

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

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

%t Select[Range@ 36200, PrimeQ[# 2^2203 - 1] &] (* _Michael De Vlieger_, Dec 09 2015 *)

%o (MATLAB)

%o if isprime(n*2^2203-1)

%o disp(n)

%o end

%o (PARI) is(n)=ispseudoprime(n*2^2203-1) \\ _Anders Hellström_, Dec 09 2015

%o (Magma) [n: n in [1..7*10^3] |IsPrime(n*2^2203-1)]; // _Vincenzo Librandi_, Dec 10 2015

%Y Cf. A000043, A001348, A005122.

%K nonn

%O 1,2

%A _Vardan Semerjyan_, Dec 09 2015

%E More terms from _Michael De Vlieger_, Dec 09 2015

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Last modified September 24 00:34 EDT 2024. Contains 376185 sequences. (Running on oeis4.)