A171518 Primes p such that 3*p-+8 are primes.

5, 7, 13, 17, 53, 73, 83, 113, 127, 157, 193, 223, 277, 347, 367, 433, 613, 647, 673, 743, 797, 907, 937, 1117, 1217, 1373, 1427, 1483, 1543, 1597, 1637, 1667, 1877, 1933, 2027, 2237, 2297, 2447, 2647, 2687, 2843, 3083, 3137, 3613, 3797, 4073, 4463, 4483

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..3000

Example

5 is in the sequence since 3*5-8=7 and 3*5+8=23 are primes.

Mathematica

Select[Prime[Range[7! ]], PrimeQ[3*#-8]&&PrimeQ[3*#+8]&]
Select[Prime[Range[700]], AllTrue[3#+{8, -8}, PrimeQ]&] (* Harvey P. Dale, Feb 10 2025 *)

Crossrefs

Cf. A000040, A005382, A005384, A023204-A023207, A063908-A063912, A103803, A124098, A125272, A171517

Sequence in context: A076294 A073574 A092110 * A336581 A248920 A314325

Adjacent sequences: A171515 A171516 A171517 * A171519 A171520 A171521

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 10 2009

Status

approved