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.

Showing 1-3 of 3 results.

A156153 Primes p such that p == 2 (mod pi(p)) and pi(p) is prime.

Original entry on oeis.org

5, 41, 367, 9559817, 514275529
Offset: 1

Views

Author

M. F. Hasler, Feb 04 2009

Keywords

Crossrefs

Programs

  • PARI
    p=c=0; until(0, until( isprime(c++), p=nextprime(p+1)); (p-2)%c & next; print1(p, ", ")); \\ Modified by Jinyuan Wang, Feb 22 2020

Formula

A156154 Primes p such that prime(p)=2 (mod p), where prime(p)=A000040(p) is the p-th prime.

Original entry on oeis.org

3, 13, 73, 637321, 27067133
Offset: 1

Views

Author

M. F. Hasler, Feb 04 2009

Keywords

Crossrefs

Cf. A156153.

Programs

  • Mathematica
    Select[Prime[Range[17*10^5]],Mod[Prime[#],#]==2&] (* Harvey P. Dale, Dec 28 2022 *)
  • PARI
    p=c=0; until(0, until( isprime(c++), p=nextprime(p+1)); (p-2)%c & next; print1( c","))

Formula

a(n) = A000040(A156155(n)) ; A156154 = intersection of A000040 and A023144.

A156148 Numbers k such that prime(prime(k)) + 2 == 0 (mod prime(k)), where prime(p)=A000040(p) is the p-th prime.

Original entry on oeis.org

5, 20, 51891, 51893
Offset: 1

Views

Author

M. F. Hasler, Feb 04 2009

Keywords

Comments

No additional terms up to k=500,000. - Harvey P. Dale, Jul 12 2022

Crossrefs

Cf. A156155.

Programs

  • Mathematica
    Select[Range[52000],Mod[Prime[Prime[#]]+2,Prime[#]]==0&] (* Harvey P. Dale, Jul 12 2022 *)
  • PARI
    p=c=0; until(0, until( isprime(c++), p=nextprime(p+1)); (p+2)%c & next; print1( primepi(c)","))

Formula

a(n) = A000720(A156149(n)).
Showing 1-3 of 3 results.