A254672 Primes prime(n) such that prime(n) + 6*n is also prime.

5, 7, 11, 17, 19, 29, 31, 37, 43, 47, 53, 67, 71, 73, 79, 89, 101, 109, 113, 127, 149, 151, 157, 167, 181, 191, 193, 197, 227, 257, 263, 271, 277, 281, 331, 347, 349, 379, 383, 431, 433, 449, 467, 479, 499, 509, 521, 523, 547, 563, 569, 571, 577, 587, 619, 631

Offset: 1

Author

Vincenzo Librandi, Feb 05 2015

Keywords

• nonn

Examples

			prime(5) = 11 is in the sequence because 11 + 6*5 = 41 is prime.
prime(8) = 19 is in the sequence because 19 + 6*8 = 67 is prime.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A061067, A231232, A231383, A254462, A254665, A254673.

Programs

Magma

[NthPrime(n): n in [1..200] | IsPrime(NthPrime(n)+6*n)]

Mathematica

Prime[Select[Range[150], PrimeQ[Prime[#] + 6 #] &]]