OFFSET
1,6
COMMENTS
It seems that the fraction of prime gap pairs (g1, g2) for which g1 == 0 (mod 6), satisfying g2 == 4 (mod 6), i.e., a(n)/A340948(n), tends to a constant, say c, when the number of prime gaps tends to infinity. From n = 27 we obtain that c < 0.284, while it can be argued heuristically that c > 0.25.
Futhermore, it is believed that a(n) - A345333(n) will change sign infinitely often.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
A.H.M. Smeets, Jun 14 2021
STATUS
approved