A191626 Integers n such that both 6n and 36n fall between pairs of twin primes, that is, 6n-1, 6n+1, 36n-1, and 36n+1 are prime.

2, 3, 5, 12, 23, 32, 45, 52, 58, 72, 107, 137, 138, 175, 182, 270, 278, 287, 325, 562, 577, 578, 597, 703, 747, 753, 872, 980, 1022, 1160, 1325, 1372, 1438, 1477, 1540, 1892, 1950, 2007, 2018, 2313, 2335, 2387, 2597, 2608, 2705, 2742, 2782, 3008

Offset

1,1

Comments

Infinite under Dickson's conjecture. [Charles R Greathouse IV, Jul 24 2011]

Links

Andrea Raffetti, Table of n, a(n) for n = 1..999

Example

5 is in the list because 5*6=30, 5*36=180 and both fall between a pair of twin primes (29,31 and 179,181).

Mathematica

Select[Range[3100], And@@PrimeQ[{6#+1, 6#-1, 36#+1, 36#-1}]&] (* Harvey P. Dale, Jul 27 2011 *)

Crossrefs

Subsequence of A002822.

Cf. A014574.

Sequence in context: A183364 A124370 A003428 * A030041 A331811 A284910

Adjacent sequences: A191623 A191624 A191625 * A191627 A191628 A191629

Keyword

nonn

Author

Andrea Raffetti, Jul 11 2011

Status

approved