A275603 The concatenation of a(n) and |a(n)-a(n+1)| is prime. Terms are distinct. This is the lexicographically first sequence with this property.

1, 2, 5, 8, 11, 14, 23, 12, 19, 6, 7, 4, 3, 10, 9, 16, 13, 20, 31, 24, 25, 18, 17, 26, 29, 32, 15, 22, 35, 38, 41, 30, 37, 28, 27, 34, 21, 50, 39, 46, 43, 40, 49, 48, 55, 36, 53, 76, 33, 52, 51, 64, 57, 56, 47, 68, 45, 58, 65, 44, 67, 60, 59, 62, 73, 42, 61, 54, 71, 80, 63, 74, 77, 94, 75, 82, 79, 72, 83, 66

Offset

1,2

Comments

The sequence starts with a(1) = 1 and is always extended with the smallest integer not yet present that does not lead to a contradiction.

This sequence is conjectured to be a permutation of the positive integers.

First differs from A275604 at a(175).

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001

Example

|1-2| = 1 and 11 is prime; |2-5| = 3 and 23 is prime; |5-8| = 3 and 53 is prime; |8-11| = 3 and 83 is prime; |11-14| = 3 and 113 is prime; etc.

Crossrefs

cf. A275604.

Sequence in context: A031210 A287960 A102795 * A275604 A173698 A162938

Adjacent sequences: A275600 A275601 A275602 * A275604 A275605 A275606

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Nov 14 2016

Status

approved