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

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

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: A323396 A359272 A107801 * A360534 A076653 A114008

Adjacent sequences: A262699 A262700 A262701 * A262703 A262704 A262705

Keyword

nonn,look,base

Author

Paul Tek, Sep 27 2015

Status

approved