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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 20 08:50 EDT 2018. Contains 313914 sequences. (Running on oeis4.)