A364490 Decimal expansion of zeta(3) * primezeta(2).

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

Offset: 0

Author

Ilya Gutkovskiy, Jul 26 2023

Keywords

• nonn
• cons

Examples

			0.543627133196479429780255713473283428069364804957661398719160636...
		

Links

• Eric Weisstein's World of Mathematics, Apéry's Constant.
• Eric Weisstein's World of Mathematics, Prime Zeta Function.

Crossrefs

Cf. A002117, A008472, A085548, A183699, A364488.

Programs

Mathematica

RealDigits[Zeta[3] PrimeZetaP[2], 10, 105][[1]]

PARI

zeta(3) * sumeulerrat(1/p, 2) \\ Amiram Eldar, Jul 28 2023

Formula

Equals Sum_{k>=1} sopf(k) / k^3, where sopf(k) is the sum of the distinct primes dividing k (A008472).