A382235 Decimal expansion of the multiple prime zeta value primezetamult(3, 3).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Comments

Prime zeta analog of A258987.

Examples

			0.00673594662213544672456...
		

Links

• Artur Jasinski, Complete list of multiple prime zeta values up to weight 6.
• Index to constants which are prime multiple zeta values (3,3)

Crossrefs

Cf. A258987, A382234 (2,2), A382236 (2,2,).

Programs

Mathematica

kk = {0, 0}; kkk = RealDigits[(PrimeZetaP[3]^2 - PrimeZetaP[6])/2, 10, 105][[1]]; Flatten[AppendTo[kk, kkk]]

Formula

Equals (A085541^2 - A085966)/2 .

Equals Sum_{p,q prime p>q} 1/(p^3*q^3).