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

2,1

Comments

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

The primes are probable primes for n > 23.

Links

Table of n, a(n) for n=2..23.

Formula

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

Example

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

Crossrefs

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

Sequence in context: A033226 A142946 A204794 * A142084 A140850 A078965

Adjacent sequences: A233820 A233821 A233822 * A233824 A233825 A233826

Keyword

nonn

Author

Jonathan Sondow, Dec 16 2013

Status

approved