A382576 Decimal expansion of Sum_{p prime} p/(p + 1)^3.

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.183761007669456934104549772519259642917046907807070556334380782178702616004...
		

Links

• Index to constants which are prime zeta sums {-1,0,3}.

Crossrefs

Cf. A382554, A382555.

Programs

PARI

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

Formula

Equals A382554 - A382555.

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