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

Author

Paul Tek, Sep 27 2015

Keywords

• nonn
• look
• base

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?

Examples

			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 |
+----+--------+
		

Links

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

Crossrefs

Cf. A076653, A262323.

Programs

Perl

See Links section.