

A091099


Number of primes of the form 4k+3 less than 10^n.


8



2, 13, 87, 619, 4808, 39322, 332398, 2880950, 25424042, 227529235, 2059034532, 18803987677, 173032827655, 1602470967129, 14922285687184, 139619172246129, 1311778581969146, 12369977145161275, 117028833678543917, 1110409801410336132
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..20.
Marc Deleglise, Pierre Dusart, and XavierFrancois Roblot, Counting primes in residue classes, Math. Comp. 73 (2004), no. 247, 15651575
Daniel Pareja, Prime Number Races
Eric Weisstein's World of Mathematics, Modular Prime Counting Function


MATHEMATICA

cnt=0; k=0; Table[lim=10^n; While[4k+3<lim, If[ PrimeQ[4k+3], cnt++ ]; k++ ]; cnt, {n, 6}]


CROSSREFS

Cf. A091098 (number of primes of the form 4k+1 less than 10^n).
Sequence in context: A162275 A092070 A091116 * A092849 A106938 A106937
Adjacent sequences: A091096 A091097 A091098 * A091100 A091101 A091102


KEYWORD

nonn


AUTHOR

T. D. Noe, Dec 19 2003


EXTENSIONS

a(10)a(16) from Robert G. Wilson v, Dec 22 2003
a(17)a(20) from Marc Deleglise, Jun 28 2007


STATUS

approved



