A233742 One sixth of gap g between 3 consecutive primes for the smallest k such that 6^n+k, 6^n+k+g, 6^n+k+2*g are consecutive primes in arithmetic progression.

1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 3, 2, 7, 5, 2, 9, 4, 10, 5, 4, 6, 13, 3, 7, 22, 7, 4, 4, 10, 4, 12, 4, 6, 5, 1, 2, 5, 5, 20, 1, 6, 12, 5, 5, 3, 1, 10, 35, 11, 14, 5, 16, 4, 14, 1, 35, 13, 3, 38

Offset: 2

Author

Jonathan Sondow, Dec 16 2013

Keywords

• nonn

Comments

g is a multiple of 6 as otherwise 6^n+k, 6^n+k+g, or 6^n+k+2*g is divisible by 2 or 3.

Sequence starts at n=2 as no solution for n=1.

k=A233546(n).

Crossrefs

Cf. A233546, A233550.

Formula

a(n) = A233550(n)/6.