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A322713
a(n) = numerator of the Riemann prime counting function for 10^n.
2
0, 16, 428, 445273, 56175529, 991892879, 18296822833013, 3559637526370229, 6427431691337929, 14804074778750628149, 9387415960571046321167, 594663752918349842404169, 200936708396848319452718531, 296345083061712053722716462103, 30189234512048649753828116713823
OFFSET
0,2
Eric Weisstein's World of Mathematics, Riemann Prime Counting Function
FORMULA
a(n) = A096624(10^n).
a(n) = numerator of Sum_{k=1..floor(log_2(10^n))} pi(floor(10^(n/k)))/k, where pi(x) is the prime counting function A000720.
EXAMPLE
0, 16/3, 428/15, 445273/2520, 56175529/45045, 991892879/102960, 18296822833013/232792560, ...
PROG
(PARI) a(n) = numerator(sum(k=1, logint(10^n, 2), primepi(sqrtnint(10^n, k))/k));
CROSSREFS
The corresponding denominators are A322714.
Sequence in context: A268076 A202546 A220286 * A359642 A275035 A275140
KEYWORD
frac,nonn
AUTHOR
Daniel Suteu, Dec 24 2018
STATUS
approved

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Last modified September 20 03:21 EDT 2024. Contains 376016 sequences. (Running on oeis4.)