OFFSET
1,1
COMMENTS
This sequence is nearly identical to A071140 and Lagneau's proposed definition of the same. The first divergence occurs at a(50)=2310, whose prime factors 2+5+7=3+11; however 2+3+5+7+11=28 is not divisible by 11 (def 1), nor is 11-2=3+5+7 (def 2).
Divergences become more common thereafter, including 102 of the first 500 terms.
As with the two sequences above, this is a superset of 2*product of twin primes (A037074).
LINKS
Christian N. K. Anderson, Table of n, a(n) for n = 1..1000
Christian N. K. Anderson, Partitions of distinct prime factors of the first 1000 terms.
PROG
(Haskell)
a221054 n = a221054_list !! (n-1)
a221054_list = filter (z 0 0 . a027748_row) $ tail a005843_list where
z u v [] = u == v
z u v (p:ps) = z (u + p) v ps || z u (v + p) ps
-- Reinhard Zumkeller, Apr 18 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Kevin L. Schwartz and Christian N. K. Anderson, Apr 15 2013
STATUS
approved