A382577 Decimal expansion of Sum_{p prime} 1/(p*(p + 1)^3).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.025036325620473561215747617911302468286559022923617414577217081973488...
		

Links

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

Crossrefs

Cf. A179119, A382554, A382555.

Programs

PARI

sumeulerrat(1/(p*(p+1)^3)) \\ Amiram Eldar, Apr 02 2025

Formula

Equals A179119 - A382554 - A382555.

Equals Sum_{k>=4} (-1)^k * ((k-3)(k-2)/2) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 02 2025