cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A232869 Primes p such that the average of the fourth powers of primes up to p is an integer.

Original entry on oeis.org

2, 26893, 741080929, 95114243761787, 146234140655742407
Offset: 1

Views

Author

M. F. Hasler, Dec 01 2013

Keywords

Comments

Otherwise said, prime(n) such that n divides prime(1)^4 + ... + prime(n)^4. The n-values (indices) are given in A125907.

Crossrefs

Cf. A171399, A111441, A217599 (analog for squares), A223936 (3rd powers), A224083 (5th powers), A232733 (6th powers), A232865 (7th powers), A232822 (8th powers), A232962 (9th powers), A233132 (10th powers).

Programs

  • PARI
    S=n=0;forprime(p=1,,(S+=p^4)%n++||print1(p","))

Formula

a(n) = prime(A125907(n)).

Extensions

a(4) from Bruce Garner, Feb 27 2021
a(5) from Paul W. Dyson, May 09 2024

A221867 Let m = A153022(n); a(n) = (1 + sum_{i=1..m} prime(i)^2)/(1+m).

Original entry on oeis.org

54, 218, 222054, 669806, 155593313228, 31860927184920, 37843679840313254, 5349233671440437948, 65075392901385088766, 102744428793110424984, 251471854505406311064463, 1074272348712875302655077, 1114427338015137279788981
Offset: 1

Views

Author

Robert Price, Apr 10 2013

Keywords

Examples

			For n=2, m=10, a(2) = 2398/11=218.

Crossrefs

Cf. A007504, A045345, A171399, A050247, A050248, A024450, A111441, A217599, A217600, A122140, A223936, A223937, A024525, A153022.

Extensions

Definition corrected by N. J. A. Sloane, Apr 20 2013
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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