A052158 Lower prime of a difference of 6 (G-minor-6 primes) between consecutive primes of 6k+1 form.

31, 61, 73, 151, 157, 271, 331, 367, 373, 433, 541, 571, 601, 607, 727, 733, 751, 991, 1033, 1063, 1117, 1123, 1231, 1291, 1321, 1453, 1543, 1621, 1657, 1741, 1747, 1753, 1777, 1861, 1987, 2011, 2131, 2281, 2287, 2341, 2371, 2383, 2467, 2551, 2671, 2677

Offset: 1

Author

Labos Elemer, Jan 25 2000

Keywords

• nonn

Comments

The corresponding larger primes (G-major-6 primes) are also of the form 6k+1.

Examples

			a(1)=31 since a(1) + 6 = 37 is the next prime and 31 = 6*5 + 1.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A031924, A031925.

Programs

Mathematica

Transpose[Select[Partition[Prime[Range[400]],2,1],Last[#]-First[#] == 6 && Mod[First[#],6]==1&]][[1]] (* Harvey P. Dale, Oct 01 2013 *)

Formula

A031924(n) == 1 (mod 6).