A095278 Numbers k such that 4k + 3 is prime.

0, 1, 2, 4, 5, 7, 10, 11, 14, 16, 17, 19, 20, 25, 26, 31, 32, 34, 37, 40, 41, 44, 47, 49, 52, 55, 56, 59, 62, 65, 67, 70, 76, 77, 82, 86, 89, 91, 94, 95, 104, 107, 109, 110, 115, 116, 119, 121, 122, 124, 125, 130, 136, 140, 142, 146, 149, 151, 154, 157, 160, 161, 164

Offset: 1

Author

Antti Karttunen, Jun 01 2004

Keywords

• nonn
• easy

Links

• Iain Fox, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002145. Complement of A095277. Union of A095272 and A095273. Cf. also A005098.

Programs

GAP

Filtered([1..170],n->IsPrime(4*n+3)); # Muniru A Asiru, Oct 29 2018

Magma

[n: n in [0..1000]|IsPrime(4*n+3)] // Vincenzo Librandi, Nov 16 2010

Maple

A095278:=n->`if`(isprime(4*n+3), n, NULL): seq(A095278(n), n=0..300); # Wesley Ivan Hurt, Jun 29 2015

Mathematica

Select[Range[0,200], PrimeQ[4#+3]&] (* Harvey P. Dale, Aug 15 2013 *)

PARI

is(n)=isprime(4*n+3) \\ Charles R Greathouse IV, Jul 01 2013

Formula

a(n) = (A002145(n) - 3)/4.