A382581 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*(p + 1)^3).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.0412965378831371367745942498699116936875624524925423481454200464113007835583572808145218...
		

Links

• Index to constants which are prime zeta sums {0,2,3}.

Crossrefs

Cf. A086242, A136141, A179119, A382554, A382555.

Programs

PARI

sumeulerrat(1/((p-1)^2*(p+1)^3)) \\ Amiram Eldar, Apr 02 2025

Formula

Equals -3*A136141/16 + A086242/8 - 3*A179119/16 + A382554/4 + A382555/4.

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