A382583 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)).

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

Offset

0,2

Links

Table of n, a(n) for n=0..101.

Index to constants which are prime zeta sums {3,1,1}.

Formula

Equals -A085541 + A136141/2 - A179119/2.

Equals Sum_{k>=3} P(2*k-1), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

Example

0.04670073209335240700152312121889211651182883637840850619171671659551184132...

Prog

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

Crossrefs

Cf. A085541, A136141, A179119.

Sequence in context: A365084 A348958 A348348 * A042976 A090142 A086237

Adjacent sequences: A382580 A382581 A382582 * A382584 A382585 A382586

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved