A382592 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.03159050297334068125244254956649313171809143903411...
		

Links

• Index to constants which are prime zeta sums {2,1,2}.

Crossrefs

Cf. A085548, A136141, A179119, A382554.

Programs

PARI

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

Formula

Equals -A085548 + A136141/4 + 5*A179119/4 - A382554/2.

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