A380689 Decimal expansion of Sum_{p prime} (p + 1)^3/((p - 1)^3*p^2).

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

Offset: 1

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			7.86666539733180449247691932247069085597893471675885...
		

Links

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

Crossrefs

Cf. A085548, A086242, A136141, A380840.

Programs

PARI

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

Formula

Equals -A085548 + 6*A136141 - 4*A086242 + 8*A380840.

Equals P(2) + Sum_{k>=3} (4*k^2 - 16*k + 18) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 02 2025