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.

A023282 Primes that remain prime through 3 iterations of function f(x) = 4x + 9.

Original entry on oeis.org

71, 97, 103, 263, 883, 907, 1747, 1867, 2251, 2281, 2693, 2791, 2857, 3067, 3541, 4073, 4513, 4597, 4663, 4793, 6047, 6971, 6983, 8761, 9091, 9203, 9311, 9377, 10343, 11131, 11437, 12037, 12107, 12401, 13451, 13627, 14887, 15881, 16217, 16301, 16493, 16871
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 4*p+9, 16*p+45 and 64*p+189 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

Crossrefs

Subsequence of A023216, A023251, and of A111199.

Programs

  • Magma
    [n: n in [1..150000] | IsPrime(n) and IsPrime(4*n+9) and IsPrime(16*n+45) and IsPrime(64*n+189)] // Vincenzo Librandi, Aug 04 2010
  • Mathematica
    Select[Prime@ Range@ 2100, Times @@ Boole@ PrimeQ@ Rest@ NestList[4 # + 9 &, #, 3] > 0 &] (* Michael De Vlieger, Sep 20 2016 *)

A023312 Primes that remain prime through 4 iterations of function f(x) = 4x + 9.

Original entry on oeis.org

883, 2857, 4073, 4663, 9311, 11131, 16493, 18257, 19541, 22063, 28687, 35837, 48383, 55817, 59393, 62131, 71387, 73037, 73133, 78173, 83423, 86111, 88261, 90511, 93287, 93811, 99377, 101051, 104537, 122203, 125927, 149497, 152377, 153941, 155653
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 4*p+9, 16*p+45, 64*p+189 and 256*p+765 are also primes. - Vincenzo Librandi, Aug 04 2010

Links

Crossrefs

Subsequence of A023216, A023251, A023282, and A111199.

Programs

  • Magma
    [n: n in [1..1000000] | IsPrime(n) and IsPrime(4*n+9) and IsPrime(16*n+45) and IsPrime(64*n+189) and IsPrime(256*n+765)] // Vincenzo Librandi, Aug 04 2010

A023340 Primes that remain prime through 5 iterations of function f(x) = 4x + 9.

Original entry on oeis.org

18257, 19541, 22063, 48383, 73037, 73133, 78173, 88261, 93811, 101051, 104537, 152377, 153941, 162343, 168043, 175523, 204251, 211681, 238463, 287341, 375253, 386713, 423961, 659513, 672181, 676103, 688027, 741283, 759491, 770951, 786673
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

Primes p such that 4*p+9, 16*p+45, 64*p+189, 256*p+765 and 1024*p+3069 are also primes. - Vincenzo Librandi, Aug 05 2010

Links

Crossrefs

Subsequence of A023216, A023251, A023282, A023312, and A111199.

Programs

  • Magma
    [n: n in [1..10000000] | IsPrime(n) and IsPrime(4*n+9) and IsPrime(16*n+45) and IsPrime(64*n+189) and IsPrime(256*n+765) and IsPrime(1024*n+3069)] // Vincenzo Librandi, Aug 05 2010
  • PARI
    is(n)=isprime(n) && isprime(4*n+9) && isprime(16*n+45) && isprime(64*n+189) && isprime(256*n+765) && isprime(1024*n+3069) \\ Charles R Greathouse IV, Oct 11 2016
Showing 1-3 of 3 results.

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

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