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A091099 Number of primes of the form 4k+3 less than 10^n. 10

%I #10 Oct 07 2013 11:14:40

%S 2,13,87,619,4808,39322,332398,2880950,25424042,227529235,2059034532,

%T 18803987677,173032827655,1602470967129,14922285687184,

%U 139619172246129,1311778581969146,12369977145161275,117028833678543917,1110409801410336132

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

%H Marc Deleglise, Pierre Dusart, and Xavier-Francois Roblot, <a href="http://www.ams.org/journals/mcom/2004-73-247/S0025-5718-04-01649-7/">Counting primes in residue classes</a>, Math. Comp. 73 (2004), no. 247, 1565-1575

%H Daniel Pareja, <a href="http://www.math.ubc.ca/~gerg/teaching/613-Winter2011/PrimeNumberRaces.pdf">Prime Number Races</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ModularPrimeCountingFunction.html">Modular Prime Counting Function</a>

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

%Y Cf. A091098 (number of primes of the form 4k+1 less than 10^n).

%K nonn

%O 1,1

%A _T. D. Noe_, Dec 19 2003

%E a(10)-a(16) from _Robert G. Wilson v_, Dec 22 2003

%E a(17)-a(20) from _Marc Deleglise_, Jun 28 2007

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)