A382593 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.01511022912001172574908057165239898479373739734429...
		

Links

• Index to constants which are prime zeta sums {3,1,2}.

Crossrefs

Cf. A085541, A085548, A136141, A179119, A382554.

Programs

PARI

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

Formula

Equals A085548 - A085541 + A136141/4 - 7*A179119/4 + A382554/2.

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