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

1,1

Links

Table of n, a(n) for n=1..59.

Example

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.

Sequence in context: A106169 A319493 A372659 * A108353 A337894 A337892

Adjacent sequences: A340199 A340200 A340201 * A340203 A340204 A340205

Keyword

base,nonn

Author

Carole Dubois, Dec 31 2020

Status

approved