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.

A023290 Primes that remain prime through 3 iterations of function f(x) = 7x + 6.

Original entry on oeis.org

149, 439, 1319, 2069, 2089, 2389, 2699, 2819, 4259, 4919, 5059, 5689, 6469, 7559, 8429, 8669, 9199, 9239, 9319, 9769, 10159, 10529, 14449, 14479, 17659, 18899, 19289, 23879, 25189, 29819, 33119, 33149, 34159, 34439, 35089, 36229, 38839, 39829, 40699
Offset: 1

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Author

Keywords

Comments

Primes p such that 7*p+6, 49*p+48 and 343*p+342 are primes. - Vincenzo Librandi, Aug 04 2010

Crossrefs

Subsequence of A023225, A023259, and A024900.

Programs

  • Magma
    [n: n in [1..150000] | IsPrime(n) and IsPrime(7*n+6) and IsPrime(49*n+48) and IsPrime(343*n+342)]; // Vincenzo Librandi, Aug 04 2010

Formula

a(n) == 9 (mod 10). - John Cerkan, Sep 23 2016

A023318 Primes that remain prime through 4 iterations of function f(x) = 7x + 6.

Original entry on oeis.org

1319, 2699, 4259, 4919, 5689, 8669, 10159, 10529, 29819, 33119, 82339, 86689, 98669, 174079, 177949, 196739, 207869, 210599, 222499, 231809, 253369, 267299, 275699, 323699, 362459, 371639, 378179, 388529, 397799, 402529, 421079, 448859, 468499
Offset: 1

Views

Author

Keywords

Comments

Primes p such that 7*p+6, 49*p+48, 343*p+342 and 2401*p+2400 are also primes. - Vincenzo Librandi, Aug 04 2010

Crossrefs

Subsequence of A023225, A023259, A023290, and A024900.

Programs

  • Magma
    [n: n in [1..1000000] | IsPrime(n) and IsPrime(7*n+6) and IsPrime(49*n+48) and IsPrime(343*n+342) and IsPrime(2401*n+2400)] // Vincenzo Librandi, Aug 04 2010

Formula

a(n) == 9 (mod 10). - John Cerkan, Oct 08 2016

A023346 Primes that remain prime through 5 iterations of function f(x) = 7x + 6.

Original entry on oeis.org

4259, 174079, 253369, 275699, 448859, 527159, 539639, 649969, 1101509, 1218559, 1230629, 1319729, 1426889, 1780939, 1929899, 1947109, 1960919, 2082469, 2087419, 2262409, 2479619, 2499169, 2797999, 2808359, 2809439, 2813339, 3089059, 3363749
Offset: 1

Views

Author

Keywords

Comments

Primes p such that 7*p+6, 49*p+48, 343*p+342, 2401*p+2400 and 16807*p+16806 are also primes. - Vincenzo Librandi, Aug 05 2010

Crossrefs

Subsequence of A023225, A023259, A023290, A023318, and A024900.

Programs

  • Magma
    [n: n in [1..10000000] | IsPrime(n) and IsPrime(7*n+6) and IsPrime(49*n+48) and IsPrime(343*n+342) and IsPrime(2401*n+2400) and IsPrime(16807*n+16806)] // Vincenzo Librandi, Aug 05 2010

Formula

a(n) == 9 (mod 10). - John Cerkan, Oct 24 2016
Showing 1-3 of 3 results.