A382584 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p*(p + 1)).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.1902224771530221083141246173909492430368088328937868071588972676186916269020795654200305...
		

Links

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

Crossrefs

Cf. A086242, A136141, A179119.

Programs

PARI

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

Formula

Equals -3*A136141/4 + A086242/2 + A179119/4.

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