A158296 - OEIS

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A158296

Primes p such that 12*p^2 -+ 1 are twin primes.

3, 11, 13, 17, 29, 227, 283, 491, 647, 739, 953, 1151, 1471, 1511, 1879, 1889, 2129, 2251, 2297, 2593, 2633, 3347, 3539, 3559, 3643, 3877, 3919, 4231, 4327, 4547, 4673, 4801, 4999, 5051, 6451, 6653, 6737, 6779, 6983, 7741, 7937, 8179, 8219, 8231, 8389

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OFFSET

1,1

LINKS

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

EXAMPLE

3 is in the sequence since 12*3^2 = 108 and (107, 109) are twin primes.

MATHEMATICA

lst={}; Do[p=Prime[n]; a=12*p^2; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p]], {n, 7!}]; lst

Select[Prime[Range[1200]], AllTrue[12#^2+{1, -1}, PrimeQ]&] (* Harvey P. Dale, Sep 15 2021 *)

CROSSREFS

Cf. A120364, A088483, A158295.