A382582 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.099445877615933685933187659139095643958269034538735830494198403708400570277159...
		

Links

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

Crossrefs

Cf. A085548, A136141, A179119.

Programs

PARI

sumeulerrat(1/((p-1)*p^2*(p+1))) \\ Amiram Eldar, Apr 01 2025

Formula

Equals -A085548 + A136141/2 + A179119/2.

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