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.

A037010 Differences between adjacent palindromic primes.

Original entry on oeis.org

1, 2, 2, 4, 90, 30, 20, 30, 10, 122, 40, 20, 10, 344, 30, 30, 10, 122, 10, 9372, 200, 100, 710, 100, 1010, 300, 100, 510, 500, 100, 410, 400, 710, 100, 510, 300, 200, 100, 810, 500, 210, 300, 910, 500, 100, 10112
Offset: 1

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Author

Keywords

Examples

			E.g. 11 - 7 = 4.
		

Crossrefs

Cf. A002385, A327427 (records).

Programs

  • Mathematica
    Differences[Select[Prime[Range[3260]], Reverse[x = IntegerDigits[#]] == x &]] (* Jayanta Basu, Jun 24 2013 *)

Formula

a(n) = A002385(n+1) - A002385(n). - Michel Marcus, Sep 12 2019

A327428 Record gaps between palindromic primes (lower end): primes A002385(k) where A002385(k+1) - A002385(k) exceeds A002385(j+1) - A002385(j) for all j < k.

Original entry on oeis.org

2, 3, 5, 11, 191, 383, 929, 19991, 39293, 98689, 1998991, 3998993, 9989899, 199999991, 399878993, 999727999, 19998289991, 39998389993, 99999199999, 1999987899991, 3999992999993, 9999987899999, 199999959999991, 399999959999993, 999999787999999, 19999998589999991, 39999999299999993
Offset: 1

Views

Author

Chai Wah Wu, Sep 09 2019

Keywords

Comments

This sequence is infinite if there exists an infinite number of palindromic primes (see comment in A327427).

Crossrefs

A327429 Record gaps between palindromic primes (upper end) (compare A327428, which gives lower ends of these gaps).

Original entry on oeis.org

4, 7, 11, 101, 313, 727, 10301, 30103, 70207, 1003001, 3001003, 7014107, 100030001, 300020003, 700020007, 10000500001, 30000500003, 70005450007, 1000008000001, 3000002000003, 7000005000007, 100000323000001, 300000020000003, 700000141000007, 10000000500000001, 30000000800000003, 70000002820000007
Offset: 1

Views

Author

Chai Wah Wu, Sep 09 2019

Keywords

Comments

This sequence is infinite if there exist infinitely many palindromic primes (see comment in A327427).

Crossrefs

Showing 1-3 of 3 results.