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 1-7 of 7 results.

A081759 Numbers n such that 5n+6 is prime.

Original entry on oeis.org

1, 5, 7, 11, 13, 19, 25, 29, 35, 37, 41, 47, 49, 53, 55, 61, 65, 79, 83, 85, 91, 97, 103, 107, 113, 119, 125, 127, 131, 137, 139, 149, 151, 161, 163, 175, 181, 187, 193, 197, 203, 205, 209, 211, 217, 229, 233, 235, 239, 245, 257, 259, 263, 271, 275, 289
Offset: 1

Views

Author

Giovanni Teofilatto, Nov 21 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

Links

Crossrefs

Cf. A024912, A030430, A049511, A067076, A087505, A089192, A089253.

Programs

  • Magma
    [n: n in [0..300]| IsPrime(5*n + 6)]; // Vincenzo Librandi, Oct 16 2012
  • Maple
    A081759 := proc(n) option remember: local k: if(n=1)then return 1: fi: for k from procname(n-1)+1 do if(isprime(5*k+6))then return k: fi: od: end: seq(A081759(n),n=1..100); # Nathaniel Johnston, May 28 2011
  • Mathematica
    Select[Range[300], PrimeQ[5# + 6] &] (* Ray Chandler, Dec 06 2006 *)
  • PARI
    is(n)=isprime(5*n+6) \\ Charles R Greathouse IV, Feb 17 2017

Formula

a(n) = 2*A024912(n) - 1.

Extensions

Corrected by Ray Chandler, Nov 22 2003

A111225 Numbers n such that 5*n + 8 is prime.

Original entry on oeis.org

1, 3, 7, 9, 13, 15, 19, 21, 31, 33, 37, 43, 45, 51, 55, 57, 61, 69, 73, 75, 85, 87, 91, 99, 103, 111, 117, 121, 127, 129, 133, 135, 145, 147, 153, 163, 169, 171, 175, 189, 195, 201, 205, 211, 217, 219, 223, 229, 231, 237, 241, 243, 255, 259, 273, 283, 285, 289
Offset: 1

Views

Author

Parthasarathy Nambi, Oct 26 2005

Keywords

Examples

			If n=103 then 5*n + 8 = 523 (prime).

Links

Crossrefs

Cf. A024894, A087505, A024897, A081759.

Programs

A111224 Numbers n such that 5*n + 7 is prime.

Original entry on oeis.org

0, 2, 6, 8, 12, 18, 20, 24, 26, 30, 32, 38, 44, 50, 54, 60, 62, 66, 68, 72, 78, 90, 92, 96, 108, 110, 114, 116, 120, 122, 128, 134, 144, 150, 156, 158, 164, 170, 174, 176, 180, 186, 188, 192, 194, 198, 216, 218, 222, 236, 242, 246, 254, 258, 260, 264, 272, 284
Offset: 1

Views

Author

Parthasarathy Nambi, Oct 26 2005

Keywords

Examples

			If n=108 then 5*n + 7 = 547 (prime).

Crossrefs

Cf. A024894, A087505, A024897, A081759.

Programs

A124853 Numbers k such that 5k + 3 and 3k + 5 are primes.

Original entry on oeis.org

0, 2, 4, 8, 14, 16, 22, 32, 34, 44, 56, 58, 62, 74, 76, 86, 88, 92, 104, 118, 128, 146, 148, 154, 172, 196, 212, 218, 224, 232, 238, 256, 274, 284, 286, 308, 316, 322, 338, 364, 382, 386, 394, 428, 454, 476, 478, 494, 518, 526, 532, 536, 538, 568, 632, 664, 674
Offset: 1

Views

Author

Zak Seidov, Nov 10 2006

Keywords

Comments

Intersection of A087505 and A088879.
All terms must be even. - Harvey P. Dale, Feb 12 2022

Links

Crossrefs

Cf. A087505, A088879, A124854.

Programs

  • Magma
    [n: n in [0..700] | IsPrime(5*n+3) and IsPrime(3*n+5)] // Vincenzo Librandi, Mar 26 2010
  • Mathematica
    Select[Range[0,700,2],AllTrue[{5#+3,3#+5},PrimeQ]&] (* Harvey P. Dale, Feb 12 2022 *)

A124854 Primes p=n/2 such that 5n+3 and 3n+5 are primes.

Original entry on oeis.org

2, 7, 11, 17, 29, 31, 37, 43, 59, 73, 109, 137, 191, 193, 197, 227, 239, 263, 269, 337, 367, 373, 401, 409, 449, 479, 499, 541, 557, 701, 743, 757, 823, 827, 857, 941, 983, 997, 1033, 1051, 1109, 1163, 1303, 1361, 1471
Offset: 1

Views

Author

Zak Seidov, Nov 10 2006

Keywords

Links

Crossrefs

Cf. A087505, A088879, A124853.

Programs

  • Maple
    select(t -> isprime(t) and isprime(10*t+3) and isprime(6*t+5), [2,seq(i,i=3..10^4,2)]); # Robert Israel, Jun 11 2018
  • Mathematica
    Select[Prime@ Range@ 250, AllTrue[{10 # + 3, 6 # + 5}, PrimeQ] &] (* Michael De Vlieger, Jun 11 2018 *)
  • PARI
    isok(n) = isprime(n) && isprime(10*n+3) && isprime(6*n+5); \\ Michel Marcus, Oct 11 2013

A111226 Numbers n such that 5*n + 12 is prime.

Original entry on oeis.org

1, 5, 7, 11, 17, 19, 23, 25, 29, 31, 37, 43, 49, 53, 59, 61, 65, 67, 71, 77, 89, 91, 95, 107, 109, 113, 115, 119, 121, 127, 133, 143, 149, 155, 157, 163, 169, 173, 175, 179, 185, 187, 191, 193, 197, 215, 217, 221, 235, 241, 245, 253, 257, 259, 263, 271, 283, 287
Offset: 1

Views

Author

Parthasarathy Nambi, Oct 26 2005

Keywords

Examples

			If n=109 then 5*n + 12 = 557 (prime).

Crossrefs

Cf. A024894, A087505, A024897, A081759.

Programs

A111230 Numbers k such that 5*k + 14 is prime.

Original entry on oeis.org

1, 3, 9, 13, 15, 19, 25, 27, 33, 37, 43, 45, 51, 67, 69, 73, 75, 79, 81, 85, 87, 93, 97, 99, 111, 117, 121, 129, 139, 141, 145, 151, 159, 163, 165, 169, 181, 183, 199, 201, 205, 207, 211, 219, 223, 243, 247, 249, 253, 255, 261, 277, 279, 283, 285, 289, 295, 297
Offset: 1

Views

Author

Parthasarathy Nambi, Oct 27 2005

Keywords

Examples

			If k=111 then 5*k + 14 = 569 (prime).

Crossrefs

Cf. A024894, A087505, A024897, A081759.

Programs

Showing 1-7 of 7 results.

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