A138660 Primes p such that (12*p - 1, 12*p + 1) and (18*p - 1, 18*p + 1) are twin primes.

29, 1051, 6719, 9059, 10501, 27749, 27791, 36749, 51421, 83761, 86729, 108751, 115249, 120049, 124139, 124529, 138629, 148861, 152839, 162091, 169009, 176609, 178249, 178921, 202481, 203141, 209621, 228199, 232681, 244411, 302779, 309259

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

29 is a term since it is a prime and (12*29 - 1, 12*29 + 1) = (347, 349) and (18*29 - 1, 18*29 + 1) = (521, 523) are twin primes.
1051 is a term since it is a prime and (12*1051 - 1, 12*1051+ 1) = (12611, 12613) and (18*1051 - 1, 18*1051 + 1) = (18917, 18919) are twin primes.

Mathematica

a=12; b=18; Select[Prime[Range[14^4]], PrimeQ[a*#-1]&&PrimeQ[a*#+1]&&PrimeQ[b*#-1]&&PrimeQ[b*#+1]&]

Prog

(Magma) [p: p in PrimesUpTo(1000)| IsPrime(12*p-1) and IsPrime(12*p+1) and IsPrime(18*p-1) and IsPrime(18*p+1)] // Vincenzo Librandi, Nov 24 2010

Crossrefs

Intersection of A138242 and A138248.

Cf. A001097, A001359, A006512.

Sequence in context: A218239 A132058 A210261 * A237356 A176695 A243623

Adjacent sequences: A138657 A138658 A138659 * A138661 A138662 A138663

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 15 2008

Extensions

More terms from Vincenzo Librandi, Apr 01 2010

Status

approved