A233823 Least prime in arithmetic progression of consecutive primes 6^n+k, 6^n+k+g, 6^n+k+2*g with smallest k.

47, 251, 1361, 7817, 46877, 280591, 1680131, 10077959, 60470441, 362797949, 2176786421, 13060695047, 78364167257, 470184984721, 2821109908277, 16926659446819, 101559956670517, 609359740010929, 3656158440066719, 21936950640380099, 131621703842267647, 789730223053605439

Offset: 2

Author

Jonathan Sondow, Dec 16 2013

Keywords

• nonn

Comments

No solution for n = 1, so sequence starts at n = 2.

The primes are probable primes for n > 23.

Examples

			a(2) = 6^2 + A233546(2) = 36 + 11 = 47.
		

Crossrefs

Cf. A233546 (values of k), A233550 (values of g), A233742 (= g/6).

Formula

a(n) = 6^n + A233546(n).