A138657 Primes p such that 48*p - 1 and 48*p + 1 are twin primes.

5, 31, 89, 109, 271, 331, 571, 599, 661, 709, 719, 761, 859, 1109, 1171, 1319, 1489, 1619, 1699, 1811, 2399, 2971, 3041, 3119, 3329, 3449, 3659, 4211, 4421, 4861, 5051, 5309, 5441, 6011, 6379, 6491, 6571, 6661, 7039

Offset

1,1

Links

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

Example

5 is a term since it is a prime and 48*5 - 1 = 239 and 48*5 + 1 = 241 are twin primes.
31 is a term since it is a prime and 48*31 - 1 = 1487 and 48*31 + 1 = 1489 are twin primes.

Mathematica

a=48; Select[Prime[Range[10^3]], PrimeQ[a*#-1]&&PrimeQ[a*#+1]&]

Crossrefs

Cf. A001097, A001359, A006512.

Cf. A138656, A138658, A138659.

Sequence in context: A299505 A102732 A213068 * A106909 A304659 A115519

Adjacent sequences: A138654 A138655 A138656 * A138658 A138659 A138660

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 15 2008

Status

approved