OFFSET
1,1
COMMENTS
Lexicographically earliest sequence of distinct positive terms with this property. It is conjectured that the sequence is a permutation of the integers > 1.
LINKS
David A. Corneth, Table of n, a(n) for n = 1..8564 (terms < 10^999; first 515 terms from Carole Dubois)
EXAMPLE
prime 2 + (1) = prime 3;
prime 3 + (1+0 + 1+0+0) = prime 5; (we do not put 2 between 5 and 7 as 2 is in the sequence already and not 20 as 10 is lexicographically earlier along with 100 gives the digital sum 2).
prime 5 + (2+0) = prime 7;
prime 7 + (4) = prime 11;
prime 11 + (1+1+0) = prime 13;
prime 13 + (1+2 + 1+0+0+0) = 17; etc.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Eric Angelini, Dec 27 2020
STATUS
approved