A382566 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*(p + 1)).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.36792162460638099759726137650329117056035747216338382601826906151734926635240156964828...
		

Links

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

Crossrefs

Cf. A086242, A136141, A179119, A380840.

Programs

PARI

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

Formula

Equals A136141/8 - A086242/4 + A380840/2 + A179119/8.

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