A382561 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3).

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

Offset: 0

Author

Artur Jasinski, Mar 31 2025

Keywords

• nonn
• cons

Examples

			0.12976922838880491842498576468801517432330671985244961...
		

Links

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

Crossrefs

Cf. A085541, A085548, A086242, A136141, A380840.

Programs

PARI

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

Formula

Equals -3*A085548 - A085541 + 6*A136141 - 3*A086242 + A380840.

Equals Sum_{k>=6} ((k-5)*(k-4)/2) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025