A364488 Decimal expansion of zeta(2) * primezeta(2).

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

Offset: 0

Author

Ilya Gutkovskiy, Jul 26 2023

Keywords

• nonn
• cons

Examples

			0.743917187869767974935961806463534512710431875022875115314346546...
		

Links

• Eric Weisstein's World of Mathematics, Prime Zeta Function.
• Eric Weisstein's World of Mathematics, Riemann Zeta Function zeta(2).

Crossrefs

Cf. A001221, A013661, A085548, A098198, A364490.

Programs

Mathematica

RealDigits[Zeta[2] PrimeZetaP[2], 10, 105][[1]]

PARI

zeta(2) * sumeulerrat(1/p, 2) \\ Amiram Eldar, Jul 28 2023

Formula

Equals Sum_{k>=1} omega(k) / k^2, where omega(k) is the number of distinct primes dividing k (A001221).