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

Author

Andrea Raffetti, Jul 11 2011

Keywords

• nonn

Comments

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

Examples

			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).
		

Links

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

Crossrefs

Subsequence of A002822.

Cf. A014574.

Programs

Mathematica

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