
   Solutions of an equation
Posted:
Mar 20, 2013 10:03 AM


Consider (1) below under the given conditions:
XY = AB (1)
Conditions: X, Y, A, B are odd integers each > 1. The symbol (m, n) = 1 means m, n are coprime odd integers each > 1. Example m = 3, n = 35. (X, Y) = 1, (A, B) = 1
Statement:: Given (1) one gets:
X = A and Y = B (2) or
X = a and Y = b (3) where AB = ab, (a, b) = 1
Any valid comment upon the correctness of the Statement will be appreciated.
Deep

