A382572 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.2646216953696293561853365599728302559685574801841430610540447238870242222757242396652...
		

Links

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

Crossrefs

Cf. A136141, A085548, A086242, A380840.

Programs

PARI

sumeulerrat(1/((p-1)^3*p^2)) \\ Amiram Eldar, Apr 01 2025

Formula

Equals -A085548 + 3*A136141 - 2*A086242 + A380840.

Equals Sum_{k>=5} ((k-4)*(k-3)/2) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025