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A262702 Lexicographically earliest sequence of distinct prime numbers such that the decimal representations of two consecutive terms overlap. 1

%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

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Last modified July 16 08:10 EDT 2024. Contains 374345 sequences. (Running on oeis4.)