A REAL TOUGH PROBLEM
- To: mathgroup at smc.vnet.net
- To: mathgroup at smc.vnet.net
- Subject: [mg15343] A REAL TOUGH PROBLEM
- From: root at nntpb.cb.lucent.com
- Date: Fri, 8 Jan 1999 04:15:30 -0500
- Organization: Lucent Technologies, Columbus, Ohio
- Sender: owner-wri-mathgroup at wolfram.com
Hi All, Here is a problem for your thoughts : Let P(m) = a1^m + b1^m + c1^m Q(m) = a2^m + b2^m + c2^m R(m) = a3^m + b3^m + c3^m S(m) = a4^m + b4^m + c4^m Z(m) = (P(m)^2 - Q(m)^2) / (R(m)^2 - S(m)^2) where a1,a2,a3,a4,b1,b2,b3,b4,c1,c2,c3,c4 are all Integers. Find the solution for a1,a2,a3,a4,b1,b2,b3,b4,c1,c2,c3,c4 when Z(3) = Z(5) Thanks JJ