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.

A023219 Primes p such that 5p+6 is a prime.

Original entry on oeis.org

5, 7, 11, 13, 19, 29, 37, 41, 47, 53, 61, 79, 83, 97, 103, 107, 113, 127, 131, 137, 139, 149, 151, 163, 181, 193, 197, 211, 229, 233, 239, 257, 263, 271, 293, 313, 347, 359, 373, 379, 389, 401, 421, 431, 443, 449, 461, 467, 487, 503, 509, 523, 541, 547, 557, 569, 571, 593
Offset: 1

Views

Author

David W. Wilson

Keywords

References

  • M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
  • Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997

Links

Crossrefs

Subset of A081759.
Cf. A090161, A088555, A088561.

Programs

  • Magma
    [p: p in PrimesUpTo(200)| IsPrime(5*p+6)]; // Vincenzo Librandi, Nov 20 2010
  • Mathematica
    Select[Prime[Range[200]],PrimeQ[5#+6]&] (* Harvey P. Dale, Jul 27 2011 *)

A088555 Primes of the form 5*p + 6 where p is a prime.

Original entry on oeis.org

31, 41, 61, 71, 101, 151, 191, 211, 241, 271, 311, 401, 421, 491, 521, 541, 571, 641, 661, 691, 701, 751, 761, 821, 911, 971, 991, 1061, 1151, 1171, 1201, 1291, 1321, 1361, 1471, 1571, 1741, 1801, 1871, 1901, 1951, 2011, 2111, 2161, 2221, 2251, 2311, 2341
Offset: 1

Views

Author

Ray Chandler, Nov 28 2003

Keywords

Comments

Primes arising in A023219.
Subsequence of A030430.

Links

Crossrefs

Cf. A023219, A030430, A088561, A090161.

Programs

  • Magma
    [5*p+6: p in PrimesUpTo(600)| IsPrime(5*p+6)]; // Vincenzo Librandi, May 19 2017
  • Mathematica
    6 + 5 Select[Prime[Range[200]], PrimeQ[5 # + 6] &] (* Vincenzo Librandi, May 19 2017 *)
  • PARI
    forprime(p=2,500,my(pp=5*p+6);if(isprime(pp),print1(pp,", "))) \\ Hugo Pfoertner, Aug 06 2021

Formula

a(n) = 5*A023219(n) + 6.

Extensions

Name clarified by Jinyuan Wang, Aug 06 2021

A088561 A088555 indexed by A000040.

Original entry on oeis.org

11, 13, 18, 20, 26, 36, 43, 47, 53, 58, 64, 79, 82, 94, 98, 100, 105, 116, 121, 125, 126, 133, 135, 142, 156, 164, 167, 178, 190, 193, 197, 210, 216, 218, 233, 248, 271, 279, 286, 291, 297, 305, 318, 326, 331, 335, 344, 347, 362, 369, 374, 381, 395, 400, 406
Offset: 1

Views

Author

Ray Chandler, Nov 28 2003

Keywords

Comments

Subset of A049511.

Crossrefs

Cf. A023219, A049511, A088555, A090161.

Formula

a(n) = k such that A000040(k) = A088555(n).
a(n) = A000720(A088555(n)). - Michel Marcus, Aug 06 2021

Extensions

Offset changed to 1 by Jinyuan Wang, Aug 06 2021
Showing 1-3 of 3 results.

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

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