A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)) .
1, 7, 7, 6, 9, 9, 1, 4, 7, 4, 5, 3, 3, 5, 8, 8, 8, 9, 2, 8, 3, 1, 3, 6, 7, 5, 9, 1, 1, 2, 3, 4, 1, 9, 2, 7, 5, 2, 3, 5, 4, 8, 6, 3, 9, 2, 6, 9, 5, 9, 7, 0, 1, 8, 8, 5, 9, 3, 7, 1, 7, 9, 3, 8, 9, 8, 6, 5, 7, 6, 3, 9, 4, 5, 0, 3, 2, 2, 0, 0, 4, 2, 2, 8, 2, 5, 6, 4, 1, 7, 4, 0, 5, 1, 5, 5, 7, 1, 5, 6, 2, 7, 8, 0, 8
Offset: 0
Examples
0.17769914745335888928313675911234192752354863926959...
Links
Programs
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PARI
sumeulerrat(1/((p-1)^3*p*(p+1))) \\ Amiram Eldar, Apr 01 2025
Formula
Equals Sum_{k>=3} ((k-2)^2 * P(2*k-1) + (k-2)*(k-1) * P(2*k)), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025