A382553 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.2809990766901105306950615756428028421153486312488377838...
		

Links

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

Crossrefs

Cf. A085548, A086242, A136141.

Programs

PARI

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

Formula

Equals A085548 - 2*A136141 + A086242.

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