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A228114
Difference between the number of primes with n digits (A006879) and the difference of consecutive integers nearest to Riemann(10^n) (see A228113).
5
-1, 0, 1, 2, 3, -34, -59, -9, 176, 1749, 490, -842, 4297, 13427, -92418, -253834, 925307, 2903111, -27385699, 28776158, 81540379, 40700461, -1160432518, 2692289572, 175794995
OFFSET
1,4
COMMENTS
The sequence (A228113) yields an average relative difference in absolute value, i.e. Average(Abs(A228114(n))/ (A006879(n)) = 1.03936…x10^-2 for 1<=n<=25.
Note that A057793(n) = Riemann(10^n) is not defined for n=0. Its value is set to 0.
LINKS
Eric Weisstein's World of Mathematics, Prime Counting Function.
Eric Weisstein's World of Mathematics, Riemann Prime Counting Function.
FORMULA
a(n) = A006879(n) - A228113(n).
KEYWORD
sign,base,less
AUTHOR
Vladimir Pletser, Aug 10 2013
STATUS
approved