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On the conjecture of jesmanowicz

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Cangül, İsmail Naci
Soydan, Gokhan
Demirci, Musa

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Togbe, Alain

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Centre Environment Social & Economic Research Publ-ceser

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We give a survey on some results covering the last 60 years concerning Jesmanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Diophantine equation(20k)(x) + (99k)(y) = (101k)(z)has no solution other than (x, y, z) = (2, 2, 2).

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Linear-forms, 2 logarithms, Terais conjecture, Diophantine, Jesmanowicz' conjecture, Exponential diophantine equation, Science & technology, Physical sciences, Mathematics, applied, Mathematics

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