cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A095278 #36 Feb 04 2024 01:17:06
%S A095278 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,
%T A095278 55,56,59,62,65,67,70,76,77,82,86,89,91,94,95,104,107,109,110,115,116,
%U A095278 119,121,122,124,125,130,136,140,142,146,149,151,154,157,160,161,164
%N A095278 Numbers k such that 4k + 3 is prime.
%H A095278 Iain Fox, <a href="/A095278/b095278.txt">Table of n, a(n) for n = 1..10000</a>
%F A095278 a(n) = (A002145(n) - 3)/4.
%p A095278 A095278:=n->`if`(isprime(4*n+3), n, NULL): seq(A095278(n), n=0..300); # _Wesley Ivan Hurt_, Jun 29 2015
%t A095278 Select[Range[0,200], PrimeQ[4#+3]&] (* _Harvey P. Dale_, Aug 15 2013 *)
%o A095278 (Magma) [n: n in [0..1000]|IsPrime(4*n+3)] // _Vincenzo Librandi_, Nov 16 2010
%o A095278 (PARI) is(n)=isprime(4*n+3) \\ _Charles R Greathouse IV_, Jul 01 2013
%o A095278 (GAP) Filtered([1..170],n->IsPrime(4*n+3)); # _Muniru A Asiru_, Oct 29 2018
%Y A095278 Cf. A002145. Complement of A095277. Union of A095272 and A095273. Cf. also A005098.
%K A095278 nonn,easy
%O A095278 1,3
%A A095278 _Antti Karttunen_, Jun 01 2004