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A301273
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Numerator of mean of first n primes.
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6
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2, 5, 10, 17, 28, 41, 58, 77, 100, 129, 160, 197, 238, 281, 328, 381, 440, 167, 568, 639, 712, 791, 38, 321, 212, 1161, 1264, 1371, 1480, 531, 1720, 1851, 1988, 2127, 2276, 809, 2584, 2747, 2914, 3087, 3266, 1149, 3638, 3831, 4028, 4227, 4438, 4661
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The means are 2, 5/2, 10/3, 17/4, 28/5, 41/6, 58/7, 77/8, 100/9, 129/10, 160/11, 197/12, 238/13, 281/14, 328/15, 381/16, 440/17, 167/6, 568/19, 639/20, 712/21, 791/22, 38, 321/8, 212/5, ...
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MAPLE
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m := n -> add(ithprime(j), j=1..n)/n;
m1:=[seq(m(n), n=1..100)];
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MATHEMATICA
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a[n_] := Prime @ Range[n] // Mean // Numerator;
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PROG
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(Python)
from fractions import Fraction
from sympy import prime
for i in range(1, 10001):
mu += (prime(i)-mu)/i
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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