|
|
A003135
|
|
n! is a nontrivial product of factorials. It is conjectured that the list is complete.
|
|
11
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
A "nontrivial" solution is one in which the largest x! in the product of a(n)! is such that x < a(n)-1. There are no other terms < 10^5. - Jud McCranie, Jun 15 2005
|
|
REFERENCES
|
R. K. Guy, "Unsolved Problems in Number Theory", section B23.
|
|
LINKS
|
|
|
EXAMPLE
|
9! = 2! * 3! * 3! * 7! and 7 < 9-1, so 9 is in the sequence.
10! = 6! * 7! or 10! = 3! * 5! * 7! and 7 < 10-1, so 10 is in the sequence.
16! = 2! * 5! * 14! and 14 < 16-1, so 16 is in the sequence.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,bref,more,hard
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|