A382571 Decimal expansion of Sum_{p prime} 1/((p - 1)*(p + 1)^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.153607996750202938743891326311996305247063362799933226638460591787...
		

Links

• Index to constants which are prime zeta sums {0,1,2}.

Crossrefs

Cf. A136141, A179119, A382554.

Programs

PARI

sumeulerrat(1/((p-1)*(p+1)^2)) \\ Amiram Eldar, Apr 02 2025

Formula

Equals A136141/4 + A179119/4 - A382554/2.

Equals Sum_{k>=2} (k-1) * (P(2*k-1) - P(2*k)), where P is the prime zeta function. - Amiram Eldar, Apr 02 2025