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

2,5

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

Cf. A233546, A233550.

Sequence in context: A309596 A335442 A226247 * A194856 A278703 A088643

Adjacent sequences: A233739 A233740 A233741 * A233743 A233744 A233745

Keyword

nonn

Author

Jonathan Sondow, Dec 16 2013

Status

approved