A272176 - OEIS

%I #25 Jul 07 2022 08:07:59

%S 3,17,23,29,53,59,83,107,113,137,149,167,179,197,227,233,239,263,269,

%T 293,353,389,419,443,479,503,557,563,569,587,599,617,647,683,743,809,

%U 839,863,947,953,977,1019,1049,1109,1187,1193,1259,1277,1283

%N Primes p such that p + 44 is also prime.

%C A134121 is a subsequence of this sequence.

%H Karl V. Keller, Jr., <a href="/A272176/b272176.txt">Table of n, a(n) for n = 1..10000</a>

%e 3 is a term because 3 + 44 = 47 is also prime.

%e 17 is a term because 17 + 44 = 61 is also prime.

%o (Python)

%o from sympy import isprime

%o for i in range(3, 3001, 2):

%o     if isprime(i) and isprime(i + 44): print(i, end=', ')

%o (PARI) lista(nn) = forprime(p=2, nn, if(isprime(p+44), print1(p, ", "))); \\ _Altug Alkan_, Apr 21 2016

%Y Cf. A000040, A134121.

%K nonn

%O 1,1

%A _Karl V. Keller, Jr._, Apr 21 2016