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A260623 Decimal expansion of the real solution x to zeta(x) - primezeta(x) = 2. 1
1, 4, 2, 5, 7, 1, 0, 4, 1, 1, 6, 1, 3, 1, 8, 1, 6, 5, 1, 7, 8, 2, 3, 6, 8, 3, 6, 7, 5, 4, 8, 5, 5, 0, 5, 6, 9, 3, 3, 9, 1, 8, 6, 2, 0, 5, 3, 4, 6, 2, 4, 7, 3, 5, 9, 4, 9, 4, 9, 4, 7, 6, 7, 4, 3, 6, 6, 8, 7, 3, 0, 4, 5, 6, 7, 5, 6, 1, 7, 5, 0, 1, 6, 7, 7, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This is also the solution x to Sum_{c composite}(1/c^x) = 1.
LINKS
EXAMPLE
1.4257...
MATHEMATICA
x /. FindRoot[Zeta[x] - PrimeZetaP[x] == 2, {x, 3/2}, WorkingPrecision -> 100] // RealDigits // First (* Jean-François Alcover, May 07 2021 *)
PROG
(PARI) solve(x=1.1, 2, zeta(x) - sumeulerrat(1/p, x) - 2) \\ Michel Marcus, May 07 2021
CROSSREFS
For the prime analog, see A243350.
Sequence in context: A241132 A173921 A003572 * A199625 A020849 A134235
KEYWORD
nonn,cons
AUTHOR
Matthew Campbell, Oct 06 2015
EXTENSIONS
a(6) corrected and a(7)-a(87) added by Hiroaki Yamanouchi, Nov 12 2015
STATUS
approved

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Last modified February 24 16:16 EST 2024. Contains 370307 sequences. (Running on oeis4.)