A262702 - OEIS

%I #11 Apr 25 2016 12:00:16

%S 2,23,3,13,11,17,7,37,43,31,19,41,101,61,103,71,47,73,67,79,97,29,229,

%T 293,307,53,5,59,359,83,283,311,107,131,109,151,113,137,181,127,191,

%U 139,211,149,241,157,251,163,271,167,281,173,313,193,317,179,331,197

%N Lexicographically earliest sequence of distinct prime numbers such that the decimal representations of two consecutive terms overlap.

%C Two terms are said to overlap:

%C - if the decimal representation of one term is contained in the decimal representation of the other term (for example, 23 and 3 overlap),

%C - or if, for some k>0, the first k decimal digits (without leading zero) of one term correspond to the k last decimal digits of the other term (for example, 317 and 179 overlap).

%C This is a variation of A262323 around the prime numbers.

%C Is this a permutation of the prime numbers?

%H Paul Tek, <a href="/A262702/b262702.txt">Table of n, a(n) for n = 1..35526</a>

%H Paul Tek, <a href="/A262702/a262702.pl.txt">PERL program for this sequence</a>

%e The first terms of the sequence are:

%e +----+--------+

%e | n  | a(n)   |

%e +----+--------+

%e |  1 |  2     |

%e |  2 |  23    |

%e |  3 |   3    |

%e |  4 |  13    |

%e |  5 | 11     |

%e |  6 |  17    |

%e |  7 |   7    |

%e |  8 |  37    |

%e |  9 | 43     |

%e | 10 |  31    |

%e | 11 |   19   |

%e | 12 |  41    |

%e | 13 |   101  |

%e | 14 |  61    |

%e | 15 |   103  |

%e | 16 |  71    |

%e | 17 | 47     |

%e | 18 |  73    |

%e | 19 | 67     |

%e | 20 |  79    |

%e | 21 |   97   |

%e | 22 |  29    |

%e | 23 | 229    |

%e | 24 |  293   |

%e | 25 |    307 |

%e +----+--------+

%o (Perl) See Links section.

%Y Cf. A076653, A262323.

%K nonn,look,base

%O 1,1

%A _Paul Tek_, Sep 27 2015