

A262702


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


1



2, 23, 3, 13, 11, 17, 7, 37, 43, 31, 19, 41, 101, 61, 103, 71, 47, 73, 67, 79, 97, 29, 229, 293, 307, 53, 5, 59, 359, 83, 283, 311, 107, 131, 109, 151, 113, 137, 181, 127, 191, 139, 211, 149, 241, 157, 251, 163, 271, 167, 281, 173, 313, 193, 317, 179, 331, 197
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OFFSET

1,1


COMMENTS

Two terms are said to overlap:
 if the decimal representation of one term is contained in the decimal representation of the other term (for example, 23 and 3 overlap),
 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).
This is a variation of A262323 around the prime numbers.
Is this a permutation of the prime numbers?


LINKS

Paul Tek, Table of n, a(n) for n = 1..35526
Paul Tek, PERL program for this sequence


EXAMPLE

The first terms of the sequence are:
+++
 n  a(n) 
+++
 1  2 
 2  23 
 3  3 
 4  13 
 5  11 
 6  17 
 7  7 
 8  37 
 9  43 
 10  31 
 11  19 
 12  41 
 13  101 
 14  61 
 15  103 
 16  71 
 17  47 
 18  73 
 19  67 
 20  79 
 21  97 
 22  29 
 23  229 
 24  293 
 25  307 
+++


PROG

(Perl) See Links section.


CROSSREFS

Cf. A076653, A262323.
Sequence in context: A052077 A124604 A107801 * A076653 A114008 A110354
Adjacent sequences: A262699 A262700 A262701 * A262703 A262704 A262705


KEYWORD

nonn,look,base


AUTHOR

Paul Tek, Sep 27 2015


STATUS

approved



