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A228113 First differences of A057793. 4
5, 21, 142, 1059, 8360, 68940, 586140, 5096885, 45085903, 404203228, 3663001812, 33489858047, 308457620524, 2858876200536, 26639628764285, 249393770865090, 2344318815695001, 22116397127183516, 209317713015989446, 1986761935255798075, 18906449883376272709 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is an approximation to the number of primes with n digits (A006879). The error in the approximation is tabulated in A228114.

Because A057793(n)= Riemann(10^n) is not defined for n=0, we set its value to zero for our purpose of defining the differences.

REFERENCES

John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of Springer-Verlag, NY, 1996, page 144-146.

LINKS

Vladimir Pletser, Table of n, a(n) for n = 1..100

Eric Weisstein's World of Mathematics, Prime Counting Function.

Eric Weisstein's World of Mathematics, Riemann Prime Counting Function.

FORMULA

a(n)= A057793(n)- A057793(n-1).

EXAMPLE

For n =1, A057793(1)- A057793(0)=5-0=5

CROSSREFS

Cf. A006879, A057793, A228111 - A228116.

Sequence in context: A050910 A220378 A230645 * A306589 A221513 A284231

Adjacent sequences:  A228110 A228111 A228112 * A228114 A228115 A228116

KEYWORD

nonn

AUTHOR

Vladimir Pletser, Aug 10 2013

STATUS

approved

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Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)