OFFSET
1,4
LINKS
Siegfried "Zig" Herzog, Frequency of Occurrence of Prime Gaps
T. Oliveira e Silva, S. Herzog, and S. Pardi, Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4.10^18, Math. Comp., 83 (2014), 2033-2060.
EXAMPLE
a(5) = 33 because there are 33 prime gaps of 34 below 10^n.
MATHEMATICA
Table[Count[Differences[Prime[Range[PrimePi[10^n]]]], 34], {n, 13}] (* The program takes a long time to run *) (* Harvey P. Dale, Nov 24 2017 *)
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Enoch Haga, Apr 15 2004
EXTENSIONS
a(10)-a(13) from Washington Bomfim, Jun 22 2012
a(14)-a(18) from S. Herzog's website added by Giovanni Resta, Aug 14 2018
STATUS
approved