|
| |
|
|
A003135
|
|
n! is a nontrivial product of factorials. It is conjectured that the list is complete.
|
|
10
| | |
|
|
|
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 (JudMcCranie(AT)ugaalum.uga.edu), Jun 15 2005
|
|
|
REFERENCES
| P. Erdos, Problems and results on number theoretic properties of consecutive integers and related questions, Proc. 5th Manitoba Conf. Numerical Math., Congress. Num. 16 (1975), 25-44.
R. K. Guy, "Unsolved Problems in Number Theory", section B23.
|
|
|
LINKS
| Index entries for sequences related to factorial numbers
|
|
|
EXAMPLE
| 16! = 14! * 5! * 2! and 14 < 16-1, so 16 is in the sequence.
9! = 2! * 3! * 3! * 7!
10! = 6! * 7! or 10! = 3! * 5! * 7!.
16! = 2! * 5! * 14!
|
|
|
CROSSREFS
| Cf. A034878, A001013, A058295, A075082, A109095, A109096, A109097, A109098.
Sequence in context: A197113 A099616 A073829 * A105742 A105834 A121061
Adjacent sequences: A003132 A003133 A003134 * A003136 A003137 A003138
|
|
|
KEYWORD
| nonn,bref,more
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
