A179119 -id:A179119 - cp's OEIS frontend

A382585 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^2(p + 1)).

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.09077659953708842238093695825185359907853979835505...

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

Cf. A085548, A086242, A136141, A179119.

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

Equals A085548 - 5*A136141/4 + A086242/2 - A179119/4.

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

A382586 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^3(p + 1)).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.044075867443736015379413837032961482566710961976642...

Index to constants which are prime zeta sums {3,2,1}.

Cf. A085541, A085548, A086242, A136141, A179119.

sumeulerrat(1/((p-1)^2*p^3*(p+1))) \\ Amiram Eldar, Apr 01 2025

Equals A085548 + A085541 - 7*A136141/4 + A086242/2 + A179119/4.

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

A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p(p + 1)) .

Original entry on oeis.org

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

Artur Jasinski, Mar 31 2025

			0.17769914745335888928313675911234192752354863926959...

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

Cf. A086242, A136141, A179119, A380840.

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

Equals 7*A136141/8 - 3*A086242/4 + A380840/2 - A179119/8.

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

A382588 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^2(p + 1)).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.08692254791627046690219980086048832844500884091454...

Index to constants which are prime zeta sums {2,3,1}.

Cf. A085548, A086242, A136141, A179119, A380840.

sumeulerrat(1/((p-1)^3*p^2*(p+1))) \\ Amiram Eldar, Apr 01 2025

Equals -A085548 + 17*A136141/8 - 5*A086242/4 + A380840/2 + A179119/8.

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

A382589 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^3(p + 1)).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.04284668047253445152278596382752684587829787893790...

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

Cf. A085541, A085548, A086242, A136141, A179119, A380840.

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

Equals -2*A085548 - A085541 + 31*A136141/8 - 7*A086242/4 + A380840/2 - A179119/8.

Equals Sum_{k>=4} ((k-3)^2 * P(2*k-1) + (k-3)*(k-2) * P(2*k)), where P is the prime zeta function. - Amiram Eldar, Apr 01 2025

A382591 Decimal expansion of Sum_{p prime} 1/((p - 1)p(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.06785537464259300468074510957260251224017759550462...

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

Cf. A136141, A179119, A382554.

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

Equals A136141/4 - 3*A179119/4 + A382554/2.

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

A382592 Decimal expansion of Sum_{p prime} 1/((p - 1)p^2(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.03159050297334068125244254956649313171809143903411...

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

Cf. A085548, A136141, A179119, A382554.

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

Equals -A085548 + A136141/4 + 5*A179119/4 - A382554/2.

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

A382593 Decimal expansion of Sum_{p prime} 1/((p - 1)p^3(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.01511022912001172574908057165239898479373739734429...

Index to constants which are prime zeta sums {3,1,2}.

Cf. A085541, A085548, A136141, A179119, A382554.

sumeulerrat(1/((p-1)*p^3*(p+1)^2)) \\ Amiram Eldar, Apr 01 2025

Equals A085548 - A085541 + A136141/4 - 7*A179119/4 + A382554/2.

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

A382594 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.06118355125521455181668975390917336539831561869458...

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

Cf. A086242, A136141, A179119, A382554.

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

Equals -A136141/2 + A086242/4 + A179119/2 - A382554/4.

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

A382595 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^2(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.02959304828187387056424720434268023368022417966046...

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

Cf. A085548, A086242, A136141, A179119, A382554.

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

Equals A085548 - 3*A136141/4 + A086242/4 - 3*A179119/4 + A382554/4.

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

cp's OEIS Frontend

A382585 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2*(p + 1)).

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A382586 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^3*(p + 1)).

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A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)) .

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A382588 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2*(p + 1)).

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A382589 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3*(p + 1)).

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A382591 Decimal expansion of Sum_{p prime} 1/((p - 1)*p*(p + 1)^2).

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A382592 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)^2).

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A382593 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)^2).

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A382585 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^2(p + 1)).

A382586 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^3(p + 1)).

A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p(p + 1)) .

A382588 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^2(p + 1)).

A382589 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^3(p + 1)).

A382591 Decimal expansion of Sum_{p prime} 1/((p - 1)p(p + 1)^2).

A382592 Decimal expansion of Sum_{p prime} 1/((p - 1)p^2(p + 1)^2).

A382593 Decimal expansion of Sum_{p prime} 1/((p - 1)p^3(p + 1)^2).

A382594 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p(p + 1)^2).

A382595 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^2(p + 1)^2).