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From: nike@harvard.UUCP (Nike Horton)
Newsgroups: net.math
Subject: Re: Factorialize...or Fail! (spoiler - rot13)
Message-ID: <195@harvard.UUCP>
Date: Sat, 31-Mar-84 22:25:06 EST
Article-I.D.: harvard.195
Posted: Sat Mar 31 22:25:06 1984
Date-Received: Mon, 2-Apr-84 00:47:58 EST
Organization: Aiken Computation Lab, Harvard
Lines: 25

Gur Ceboyrz:  Fubj gung 1!+2!+...+a! != x^2 sbe nyy a naq x.

Gur Nafjre:

Fvapr a! zbq 5 = 0 sbe a>=5, 1!+2!+...a! zbq 5 = 1!+2!+3!+4! zbq 5 = 3 sbe a>=4
Shegurezber, fvapr  0^2 zbq 5= 0, 1^2 zbq 5 = 1, 2^2 zbq 5 = 4,
3^2 zbq 5 = 4, naq 4^2 zbq 5 = 1, 1!+2!+...a! pnaabg or n cresrpg fdhner
vs a>=4.
Sbe a<4, vg vf eryngviryl pyrne gung bhg bs 1,1+2,1+2+6, naq 1+2+6+24=32, bayl
1 naq 1+2+6 ner cresrpg fdhnerf.

Guhf gur *bayl* fbyhgvbaf ner 1!=1^2 naq 1!+2!+3!=3^2.
_______
                        Tertbel Xhcreoret
                           Ohearq Bhg
"Rherxn!" -Nepuvzrqrf






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Nicholas Horton		genrad!wjh12!harvard!nike
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