The Diophantine equation ![]() |
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| Authors: | J. H. E. Cohn. |
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| Affiliation: | Department of Mathematics, Royal Holloway University of London, Egham, Surrey TW20 0EX, United Kingdom |
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| Abstract: | An effective method is derived for solving the equation of the title in positive integers  and  for given  completely, and is carried out for all  . If  is of the form  , then there is the solution  ,  ; in the above range, except for  with solution  ,  , there are no other solutions. |
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