OFFSET
1,2
COMMENTS
For the given initial values k, it is conjectural that their sequences S(k) never merge. The S(k) have been checked to be distinct for 2^60 terms (see Rowland link), but it is possible that they merge later on.
LINKS
Eric Rowland, A Natural Prime-Generating Recurrence (Section 5: Primes), Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.8.
EXAMPLE
From Danny Rorabaugh, Apr 02 2015: (Start)
S(1) = A000027 is the positive integers.
S(2) = [2,4,5,...,i+2,...].
S(3) = [3,4,5,...,i+2,...] merges with S(2) at index 2.
S(4) = [4,6,9,10,15,18,19,20,21,22,33,...] = A084662.
S(5) = [5,6,9,...] = A134736 merges with S(4) at index 2.
(End)
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric Rowland, Jan 29 2008
STATUS
approved