A287459 Primes p such that (15 p + 1)/2 is prime.

3, 7, 11, 23, 31, 47, 59, 67, 79, 103, 127, 131, 163, 191, 199, 211, 263, 311, 359, 367, 379, 443, 479, 523, 571, 599, 619, 631, 659, 719, 743, 787, 823, 827, 863, 887, 907, 911, 947, 967, 971, 991, 1019, 1039, 1051, 1103, 1123, 1171, 1223, 1283, 1307, 1367, 1447, 1451, 1499, 1523, 1531, 1571, 1619

Offset

1,1

Comments

If n is in the sequence, then 15 n is in A068405.

Links

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

Example

23 and (15*23+1)/2 = 173 are prime, so 23 is in the sequence.

Maple

select(p -> isprime(p) and isprime((15*p+1)/2), [seq(i, i=3..10000, 2)]);

Mathematica

Select[Prime[Range[300]], PrimeQ[(15#+1)/2]&] (* Harvey P. Dale, Sep 20 2017 *)

Crossrefs

Cf. A068405.

Sequence in context: A086505 A239227 A154427 * A095102 A192614 A112715

Adjacent sequences: A287456 A287457 A287458 * A287460 A287461 A287462

Keyword

nonn

Author

Robert Israel, May 25 2017

Status

approved