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




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 2pqr
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



