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On some Diophantine Equations
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We make use of the following two well-known lemmas :-
LEMMA (1 1). if (x, y) = 1, then x ± y and
x2r± x2r-1y+x2r-2 y2 +x2r-3 y3+ …..y 2r
cannot have any common factor except the di vision of r + 1.
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