A382554 -id:A382554 - cp's OEIS frontend

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

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

A382596 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^3(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.01448281916186214481516663269028124888648678231617...

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

Cf. A085541, A086242, A136141, A179119, A382554.

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

Equals A085541 - A136141 + A086242/4 + A179119 - A382554/4.

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

A382598 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.05825779809907216873322350260158428106261651028750...

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

Cf. A086242, A136141, A179119, A380840, A382554.

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

Equals 11*A136141/16 - A086242/2 + A380840/4 - 5*A179119/16 + A382554/8.

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

A382599 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^2(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.028664749817198298168976298258904047...

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

Cf. A085548, A086242, A136141, A179119, A380840, A382554.

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

Equals -A085548 + 23*A136141/16 - 3*A086242/4 + A380840/4 + 7*A179119/16 - A382554/8.

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

A382600 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^3(p + 1)^2).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.0141819306553361533538096655686...

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

Cf. A085541, A085548, A086242, A136141, A179119, A380840, A382554.

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

Equals -A085548 - A085541 + 39*A136141/16 - A086242 + A380840/4 - 9*A179119/16 + A382554/8.

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

A382601 Decimal expansion of Sum_{p prime} 1/((p - 1)p(p + 1)^3).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.02140952451105972173249874583065002197680928629050357743...

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

Cf. A136141, A179119, A382554, A382555.

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

Equals A136141/8 - 7*A179119/8 + 3*A382554/4 + A382555/2.

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

A382602 Decimal expansion of Sum_{p prime} 1/((p - 1)p^2(p + 1)^3).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.010180978462280959519943803735843109741282152...

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

Cf. A085548, A136141, A179119, A382554, A382555.

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

Equals -A085548 + A136141/8 + 17*A179119/8 - 5*A382554/4 - A382555/2.

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

A382603 Decimal expansion of Sum_{p prime} 1/((p - 1)p^3(p + 1)^3).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.0049292506577307662291367679165558750524552...

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

Cf. A085541, A085548, A136141, A179119, A382554, A382555.

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

Equals 2*A085548 - A085541 + A136141/8 - 31*A179119/8 + 7*A382554/4 + A382555/2.

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

A382604 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p(p + 1)^3).

Original entry on oeis.org

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

Offset: 0

Artur Jasinski, Mar 31 2025

			0.01988701337207741504209550403926167171075316620203877071...

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

Cf. A086242, A136141, A179119, A382554, A382555.

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

Equals -5*A136141/16 + A086242/8 + 11*A179119/16 - A382554/2 - A382555/4.

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

cp's OEIS Frontend

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

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

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A382596 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^3*(p + 1)^2).

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A382598 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)^2).

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A382599 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2*(p + 1)^2).

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A382600 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3*(p + 1)^2).

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A382601 Decimal expansion of Sum_{p prime} 1/((p - 1)*p*(p + 1)^3).

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A382602 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)^3).

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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).

A382596 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p^3(p + 1)^2).

A382598 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p(p + 1)^2).

A382599 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^2(p + 1)^2).

A382600 Decimal expansion of Sum_{p prime} 1/((p - 1)^3p^3(p + 1)^2).

A382601 Decimal expansion of Sum_{p prime} 1/((p - 1)p(p + 1)^3).

A382602 Decimal expansion of Sum_{p prime} 1/((p - 1)p^2(p + 1)^3).

A382603 Decimal expansion of Sum_{p prime} 1/((p - 1)p^3(p + 1)^3).

A382604 Decimal expansion of Sum_{p prime} 1/((p - 1)^2p(p + 1)^3).