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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 3
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 (list; graph; refs; listen; history; text; internal format)
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
FORMULA
a(n) = A233550(n)/6.
CROSSREFS
Sequence in context: A309596 A335442 A226247 * A194856 A278703 A088643
KEYWORD
nonn
AUTHOR
Jonathan Sondow, Dec 16 2013
STATUS
approved

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Last modified April 14 16:48 EDT 2024. Contains 371666 sequences. (Running on oeis4.)