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A354954
Decimal expansion of Sum_{p = primes} 1 / (p * log(p)^4).
1
2, 4, 4, 3, 2, 2, 7, 0, 4, 3, 5, 4, 4, 4, 1, 0, 1, 8, 8, 7, 2, 9, 6, 8, 3, 2, 9, 7, 3, 6, 9, 7, 3, 4, 5, 7, 6, 4, 6, 1, 4, 5, 3, 0, 8, 7, 7, 4, 0, 4, 0, 0, 4, 2, 8, 6, 6, 4, 6, 5, 1, 4, 8, 5, 2, 6, 7, 3, 5, 0, 8, 5, 9, 9, 6, 4, 5, 3, 2, 5, 5, 9, 4, 5, 7, 8, 7, 6, 9, 0, 3, 2, 6, 7, 0, 0, 9, 0, 6, 0, 1, 6, 7, 9, 2
OFFSET
1,1
EXAMPLE
2.443227043544410188729683297369734576461453087740400428664651485267350...
PROG
(PARI) default(realprecision, 200); s=0; for(k=1, 500, s = s + moebius(k)/(6*k^5) * intnum(x=k, [[1], 1], (x-k)^3 * log(zeta(x))); print(s));
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jun 13 2022
EXTENSIONS
Last 2 digits corrected by Vaclav Kotesovec, Jun 22 2022
STATUS
approved