A272176 Primes p such that p + 44 is also prime.

3, 17, 23, 29, 53, 59, 83, 107, 113, 137, 149, 167, 179, 197, 227, 233, 239, 263, 269, 293, 353, 389, 419, 443, 479, 503, 557, 563, 569, 587, 599, 617, 647, 683, 743, 809, 839, 863, 947, 953, 977, 1019, 1049, 1109, 1187, 1193, 1259, 1277, 1283

Offset: 1

Author

Karl V. Keller, Jr., Apr 21 2016

Keywords

• nonn

Comments

A134121 is a subsequence of this sequence.

Examples

			3 is a term because 3 + 44 = 47 is also prime.
17 is a term because 17 + 44 = 61 is also prime.
		

Links

• Karl V. Keller, Jr., Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A134121.

Programs

PARI

lista(nn) = forprime(p=2, nn, if(isprime(p+44), print1(p, ", "))); \\ Altug Alkan, Apr 21 2016

Python

from sympy import isprime
for i in range(3, 3001, 2):
    if isprime(i) and isprime(i + 44): print(i, end=', ')