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W2354070394 abstract "Let m,r be positive integers such that 2|m,2r and r1.let Ur,Vr be integers with Vr+Ur-1=(m+-1)r.Further let a,b,c be positive integers such that a=|Vr|,b=|Ur| and c=m2+1.It is proved that if b≡3(mod 4),and b or c is a prime,then the equation x2+by=cz has only the positive integer solution (x,y,z)=(a,2,r)." @default.
W2354070394 created "2016-06-24" @default.
W2354070394 creator A5061576014 @default.
W2354070394 date "2003-01-01" @default.
W2354070394 modified "2023-09-25" @default.
W2354070394 title "A Conjecture Concerning an Exponential Diophantine Equation" @default.
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