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.

A087915 Even numbers k such that 2*k+3 is a prime.

Original entry on oeis.org

0, 2, 4, 8, 10, 14, 20, 22, 28, 32, 34, 38, 40, 50, 52, 62, 64, 68, 74, 80, 82, 88, 94, 98, 104, 110, 112, 118, 124, 130, 134, 140, 152, 154, 164, 172, 178, 182, 188, 190, 208, 214, 218, 220, 230, 232, 238, 242, 244, 248, 250, 260, 272, 280, 284, 292, 298, 302
Offset: 1

Views

Author

Giovanni Teofilatto, Oct 18 2003

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.

Crossrefs

A subset of A067076.
Cf. A002145.
a(n) = A089193(n)-5.

Programs

  • Mathematica
    Select[Range[0,350,2],PrimeQ[2#+3]&] (* Harvey P. Dale, Jan 12 2012 *)

Extensions

More terms from Ray Chandler, Oct 19 2003
Offset corrected by Arkadiusz Wesolowski, Aug 09 2011

A090658 Numbers n such that n-1 is a prime of the form 4k+3.

Original entry on oeis.org

4, 8, 12, 20, 24, 32, 44, 48, 60, 68, 72, 80, 84, 104, 108, 128, 132, 140, 152, 164, 168, 180, 192, 200, 212, 224, 228, 240, 252, 264, 272, 284, 308, 312, 332, 348, 360, 368, 380, 384, 420, 432, 440, 444, 464, 468, 480, 488, 492, 500, 504, 524, 548, 564, 572
Offset: 1

Views

Author

Giovanni Teofilatto, Dec 14 2003

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

Crossrefs

Programs

  • Mathematica
    okQ[n_]:=Module[{x=n-1},PrimeQ[x]&&IntegerQ[(x-3)/4]];Select[Range[1,1000,1],okQ] (* Vincenzo Librandi, Dec 13 2011 *)
    Select[4*Range[0,200]+3,PrimeQ]+1 (* Harvey P. Dale, Sep 25 2017 *)

Formula

a(n) = A087915(n)+A089257(n), A089193(n)+A089257(n)-5.

Extensions

Corrected and extended by T. D. Noe, Oct 25 2006

A089217 n-2 is a prime of the form 4*k+3.

Original entry on oeis.org

5, 9, 13, 21, 25, 33, 45, 49, 61, 69, 73, 81, 85, 105, 109, 129, 133, 141, 153, 165, 169, 181, 193, 201, 213, 225, 229, 241, 253, 265, 273, 285, 309, 313, 333, 349, 361, 369, 381, 385, 421, 433, 441, 445, 465, 469, 481, 489, 493, 501, 505, 525, 549, 565, 573
Offset: 1

Views

Author

Giovanni Teofilatto, Dec 10 2003

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.

Crossrefs

Programs

  • Mathematica
    Select[4*Range[0,200]+3,PrimeQ]+2 (* Harvey P. Dale, Jun 04 2017 *)

Formula

a(n) = A087915(n)+ A089193(n)

Extensions

Offset corrected by Arkadiusz Wesolowski, Aug 09 2011
Corrected and extended by Harvey P. Dale, Jun 04 2017
Showing 1-3 of 3 results.