OFFSET
1,1
COMMENTS
Similar to but different from A175340 which has an additional condition that says that factors cannot be used twice. So 1814400 is here via 8*9*10*12*14*15 = 15*16*18*20*21 but not there as 15 is used twice.
This sequence is infinite. Proof:
Choose two consecutive composites c1 and c2 such that c1 < c2. Let S be the composites strictly between c2 and c1 * c2. Let product(S) be the product of terms in S. Then c1 * c2 * product(S) is a term.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
David A. Corneth, Mar 28 2021
STATUS
approved