

A228112


Difference between the number of primes with n digits (A006879) and the 6parametric approximation of that number in A228111.


5



0, 0, 0, 2, 22, 23, 1614, 21952, 200754, 1427826, 6969680, 2536429, 648528610, 11247293516, 143493754330, 1578026921839, 15633412845816, 140582270611489, 1122913035234416, 7326349588043722, 25245049578998081, 301375487087871682, 9140885960557495580, 157255672291012140238, 2265259467069624459434
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OFFSET

1,4


COMMENTS

A228111 provides exact values of pi(10^n)  pi(10^(n1)) for n = 1 to 3 and yields an average relative difference in absolute value, i.e. average(abs(A228112(n))/A006879(n) = 0.00375341... for 1 <= n <= 25, better than when using the 10^n/log(10^n) function, which yields 0.0469094... (see A228066) or the logarithmic integral (Li(10^n)  Li(2)) function, which yields 0.0175492... (see A228068) or the Riemann (Riemann(10^n)) function, which yields 0.0103936... (see A228114) or the Fibonacci polynomials of multiple of 4 indices, which yields 0.00473860... (see A228064) for 1 <= n <= 25.


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KEYWORD

sign


AUTHOR



STATUS

approved



