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Topic: ----- ----- -- Solutions of an equation
Replies: 2   Last Post: Mar 20, 2013 5:36 PM

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Deep Deb

Posts: 405
Registered: 12/6/04
----- ----- -- Solutions of an equation
Posted: Mar 20, 2013 10:03 AM
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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.


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