A233742 - OEIS

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

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OFFSET

2,5

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).

LINKS

Table of n, a(n) for n=2..63.

FORMULA

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

CROSSREFS