A281878 The sum of two successive terms is prime and the sum of two successive digits is also prime.

0, 2, 1, 4, 3, 8, 5, 6, 7, 412, 9, 20, 21, 16, 111, 112, 121, 120, 29, 212, 11, 12, 125, 234, 149, 230, 203, 216, 143, 258, 305, 252, 167, 432, 161, 116, 123, 214, 165, 202, 129, 238, 303, 298, 321, 250, 207, 434, 323, 294, 307, 612, 325, 232, 141, 256, 505, 292, 147, 416, 503, 438, 349, 474, 347, 414, 329, 492, 385, 676, 525, 656, 507

Offset

1,2

Comments

The sequence is started with a(1)=0 and always extended with the smallest integer not yet present in the sequence and not leading to a contradiction.

Links

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

Example

Prime sum of successive terms:
0+2 is prime; 2+1 is prime; 1+4 is prime; ... 6+7 is prime; 7+412 is prime; 412+9 is prime; etc.
Prime sum of successive digits: 0+2 is prime; 2+1 is prime; 1+4 is prime; ... 6+7 is prime; 7+4 is prime; 4+1 is prime; 1+2 is prime; etc.

Crossrefs

Cf. A217555.

Sequence in context: A294096 A128280 A182177 * A106625 A275902 A008347

Adjacent sequences: A281875 A281876 A281877 * A281879 A281880 A281881

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Feb 01 2017

Status

approved