A NOTE ON JEÅšMANOWICZ’ CONJECTURE CONCERNING PRIMITIVE PYTHAGOREAN TRIPLES
Let be a primitive Pythagorean triple satisfying In 1956, JeÅ›manowicz conjectured that the only positive integer solution of the exponential Diophantine equation is In this paper, for the primitive Pythagorean triples with rpositive integer, by elementary method we prove that JeÅ›manowicz’ conjecture is true when and certain divisibility conditions are satisfied.
exponentialDiophantineequations, Pythagoreantriples, JeÅ›manowicz’ conjecture.