A254462 Primes prime(n) such that prime(n) + 5*n is also prime.

2, 3, 13, 19, 29, 37, 43, 61, 113, 151, 163, 173, 223, 229, 239, 251, 311, 317, 337, 359, 373, 397, 409, 433, 503, 601, 647, 659, 673, 683, 757, 821, 857, 863, 887, 941, 1061, 1097, 1109, 1123, 1213, 1249, 1291, 1307, 1373, 1423, 1439, 1493, 1511, 1531, 1559

Offset: 1

Author

Vincenzo Librandi, Feb 04 2015

Keywords

• nonn

Examples

			prime(2)=3 is in the sequence because 3+5*2 = 13 is prime.
prime(6)=13 is in the sequence because 13+5*6 = 43 is prime.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A061067, A076300, A231232, A231383.

Programs

Magma

[NthPrime(n): n in [1..300] | IsPrime(NthPrime(n)+5*n)];

Maple

P:= select(isprime, [2,seq(i,i=3..10000,2)]):
P[select(i -> isprime(P[i]+5*i),[$1..nops(P)])]; # Robert Israel, Aug 01 2024

Mathematica

Prime[Select[Range[300], PrimeQ[Prime[#] + 5 #] &]]