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Topic: Number theory problem
Replies: 3   Last Post: Jul 18, 1996 2:02 PM

 Messages: [ Previous | Next ]
 Craig Helfgott Posts: 5 Registered: 12/12/04
Number theory problem
Posted: Jul 17, 1996 12:27 PM

I was wondering if anyone could give me some help with this problem. I have to
prove that all but finitely many positive even integers can be expressed as one
of the following:

x= -(p+q+r) (mod pqr) where p,q,r pairwise relatively prime and 2|pqr

OR

x= pqr-(p+q+r) (mod 2pqr) where p,q,r pairwise rel. prime and all odd.

Thank you. (BTW, this is not possible with a finite number of primes, for
example, cannot get -8 (mod p1p2p3...pn)).

Craig Helfgott
helfgott@math.tulane.edu

Date Subject Author
7/17/96 Craig Helfgott
7/18/96 Mitja Kolsek
7/18/96 Craig Helfgott
7/18/96 Craig Helfgott