A340202 Primes followed by the difference from the next prime calculated by adding the digits of the lexicographically earliest distinct term.

2, 1, 3, 20, 5, 110, 7, 4, 11, 200, 13, 22, 17, 1001, 19, 40, 23, 6, 29, 1010, 31, 15, 37, 112, 41, 1100, 43, 121, 47, 24, 53, 33, 59, 2000, 61, 42, 67, 130, 71, 10001, 73, 51, 79, 202, 83, 60, 89, 8, 97, 220, 101, 10010, 103, 301, 107, 10100, 109, 310, 113

Offset: 1

Author

Carole Dubois, Dec 31 2020

Keywords

• base
• nonn

Examples

			Prime 2 + (1) = prime 3;
prime 3 + (2+0) = prime 5;
prime 5 + (1+1+0) = prime 7;
prime 7 + (4) = prime 11;
prime 11 + (2+0+0) = prime 13;
prime 13 + (2+2) = 17; etc.
		

Crossrefs

Cf. A000040 (primes), A219606.

Differences between consecutive primes: A001223, A134735, A340063.