A271982 Primes p such that p + 42 is also prime.

5, 11, 17, 19, 29, 31, 37, 41, 47, 59, 61, 67, 71, 89, 97, 107, 109, 131, 137, 139, 149, 151, 157, 181, 191, 197, 199, 227, 229, 239, 241, 251, 269, 271, 307, 311, 317, 331, 337, 347, 359, 367, 379, 389, 397, 401, 419, 421, 449, 457, 461

Offset

1,1

Comments

A134120 is a subsequence of this sequence.

Links

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

Example

5 is a term because 5 + 42 = 47 is also prime.
11 is a term because 11 + 42 = 53 is also prime.

Maple

A271982:=n->`if`(isprime(n) and isprime(n+42), n, NULL): seq(A271982(n), n=1..10^3); # Wesley Ivan Hurt, Feb 12 2017

Mathematica

Select[Prime@ Range@ 90, PrimeQ[# + 42] &] (* Michael De Vlieger, Apr 18 2016 *)

Prog

(Python)
from sympy import isprime
for i in range(3, 2001, 2):
..if isprime(i) and isprime(i+42): print (i, end=', ')
(PARI) lista(nn) = forprime(p=2, nn, if (isprime(p+42), print1(p, ", "))); \\ Michel Marcus, Apr 19 2016

Crossrefs

Cf. A000040, A134120.

Sequence in context: A096264 A239709 A175249 * A338239 A179240 A176905

Adjacent sequences: A271979 A271980 A271981 * A271983 A271984 A271985

Keyword

nonn

Author

Karl V. Keller, Jr., Apr 17 2016

Status

approved