A394713 Decimal expansion of (P(2) + P(4))/zeta(2), where P is the prime zeta function.

3, 2, 1, 7, 3, 9, 6, 7, 9, 7, 0, 6, 0, 4, 6, 1, 8, 8, 3, 9, 4, 9, 6, 2, 0, 0, 8, 3, 5, 9, 7, 8, 7, 9, 8, 4, 8, 8, 4, 0, 2, 8, 2, 6, 9, 4, 2, 9, 3, 8, 4, 5, 8, 6, 5, 4, 7, 0, 2, 3, 0, 0, 8, 8, 4, 9, 7, 5, 5, 7, 3, 2, 6, 7, 4, 4, 7, 5, 8, 2, 8, 4, 3, 5, 9, 0, 0, 0, 5, 4, 0, 4, 8, 7, 3, 9, 8, 3, 7, 2, 3, 7, 0, 9, 8

Offset

0,1

Comments

The asymptotic probability that the greatest common exponentially odd divisor of two positive integers selected independently at random is prime.

Links

Table of n, a(n) for n=0..104.

Formula

Equals (A085548 + A085964) / A013661.

Example

0.321739679706046188394962008359787984884028269429384...

Mathematica

RealDigits[(PrimeZetaP[2] + PrimeZetaP[4])/ Zeta[2], 10, 120][[1]]

Prog

(PARI) sumeulerrat(1/p^2 + 1/p^4) / zeta(2)

Crossrefs

Cf. A013661, A085548, A085964, A268335.

Sequence in context: A016556 A067050 A381813 * A001355 A385600 A364855

Adjacent sequences: A394710 A394711 A394712 * A394714 A394715 A394716

Keyword

nonn,cons

Author

Amiram Eldar, Mar 30 2026

Status

approved