[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Re: (n!+1)^(1/2)
>For any number n, if the square root of (n!)+1 is an integer, it is also
>prime. (This is interesting, but rather useless in practice)
For any number a, 1<a<=n, n! mod a == 0; therefore, n!+1 mod a == 1. n!+1
is prime. Prime numbers don't have integral square roots.
Scott Collins | "That's not fair!" -- Sarah
| "You say that so often. I wonder what your basis
408.862.0540 | for comparison is." -- Goblin King
................|....................................................
BUSINESS. fax:974.6094 R254(IL5-2N) [email protected]
Apple Computer, Inc. 5 Infinite Loop, MS 305-2D Cupertino, CA 95014
.....................................................................
PERSONAL. 408.257.1746 1024:669687 [email protected]