From: collins@newton.apple.com (Scott Collins)

To: Matthew J Ghio <mg5n+@andrew.cmu.edu>

Message Hash: 49dab908684fc472791872df34f4bbbf862c1435d8975753b2bd320e01cffe9a

Message ID: <9404112043.AA28093@newton.apple.com>

Reply To: *N/A*

UTC Datetime: 1994-04-11 21:59:54 UTC

Raw Date: Mon, 11 Apr 94 14:59:54 PDT

```
From: collins@newton.apple.com (Scott Collins)
Date: Mon, 11 Apr 94 14:59:54 PDT
To: Matthew J Ghio <mg5n+@andrew.cmu.edu>
Subject: Re: (n!+1)^(1/2) Oops! I'm wrong.
Message-ID: <9404112043.AA28093@newton.apple.com>
MIME-Version: 1.0
Content-Type: text/plain
>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.
>For example :
>
>(4!+1)^(1/2)=5
>(5!+1)^(1/2)=11
>(7!+1)^(1/2)=71
I am completely wrong. I replied too hastily. Please accept my apologies.
In fact, n!+1 is relatively prime to any a, 1<a<=n, however plainly it is
much larger than n itself and when n>3, (n!+1)>(n^2) and may have factors
(including an integral square root) larger than n.
Oops :-)
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) collins@newton.apple.com
Apple Computer, Inc. 5 Infinite Loop, MS 305-2D Cupertino, CA 95014
.....................................................................
PERSONAL. 408.257.1746 1024:669687 catalyst@netcom.com
```

Return to April 1994

Return to “collins@newton.apple.com (Scott Collins)”

1994-04-11 (Mon, 11 Apr 94 14:59:54 PDT) - Re: (n!+1)^(1/2) Oops! I’m wrong. -

*collins@newton.apple.com (Scott Collins)*