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

%I A262702 #11 Apr 25 2016 12:00:16
%S A262702 2,23,3,13,11,17,7,37,43,31,19,41,101,61,103,71,47,73,67,79,97,29,229,
%T A262702 293,307,53,5,59,359,83,283,311,107,131,109,151,113,137,181,127,191,
%U A262702 139,211,149,241,157,251,163,271,167,281,173,313,193,317,179,331,197
%N A262702 Lexicographically earliest sequence of distinct prime numbers such that the decimal representations of two consecutive terms overlap.
%C A262702 Two terms are said to overlap:
%C A262702 - if the decimal representation of one term is contained in the decimal representation of the other term (for example, 23 and 3 overlap),
%C A262702 - 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 A262702 This is a variation of A262323 around the prime numbers.
%C A262702 Is this a permutation of the prime numbers?
%H A262702 Paul Tek, <a href="/A262702/b262702.txt">Table of n, a(n) for n = 1..35526</a>
%H A262702 Paul Tek, <a href="/A262702/a262702.pl.txt">PERL program for this sequence</a>
%e A262702 The first terms of the sequence are:
%e A262702 +----+--------+
%e A262702 | n  | a(n)   |
%e A262702 +----+--------+
%e A262702 |  1 |  2     |
%e A262702 |  2 |  23    |
%e A262702 |  3 |   3    |
%e A262702 |  4 |  13    |
%e A262702 |  5 | 11     |
%e A262702 |  6 |  17    |
%e A262702 |  7 |   7    |
%e A262702 |  8 |  37    |
%e A262702 |  9 | 43     |
%e A262702 | 10 |  31    |
%e A262702 | 11 |   19   |
%e A262702 | 12 |  41    |
%e A262702 | 13 |   101  |
%e A262702 | 14 |  61    |
%e A262702 | 15 |   103  |
%e A262702 | 16 |  71    |
%e A262702 | 17 | 47     |
%e A262702 | 18 |  73    |
%e A262702 | 19 | 67     |
%e A262702 | 20 |  79    |
%e A262702 | 21 |   97   |
%e A262702 | 22 |  29    |
%e A262702 | 23 | 229    |
%e A262702 | 24 |  293   |
%e A262702 | 25 |    307 |
%e A262702 +----+--------+
%o A262702 (Perl) See Links section.
%Y A262702 Cf. A076653, A262323.
%K A262702 nonn,look,base
%O A262702 1,1
%A A262702 _Paul Tek_, Sep 27 2015