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

Author

Eric Angelini and Jean-Marc Falcoz, Feb 01 2017

Keywords

• nonn
• base

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.

Examples

			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.
		

Links

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

Crossrefs

Cf. A217555.