A382596 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^3*(p + 1)^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.01448281916186214481516663269028124888648678231617...
		

Links

• Index to constants which are prime zeta sums {3,2,2}.

Crossrefs

Cf. A085541, A086242, A136141, A179119, A382554.

Programs

PARI

sumeulerrat(1/((p-1)^2*p^3*(p+1)^2)) \\ Amiram Eldar, Apr 01 2025

Formula

Equals A085541 - A136141 + A086242/4 + A179119 - A382554/4.

Equals Sum_{k>=3} (k-2) * P(2*k+1), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025