journal6 ›› 2006, Vol. 27 ›› Issue (6): 24-25.

• Mathematics • Previous Articles     Next Articles

On the Diophantine Equation x3-8=61y2


  1.  (College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China)
  • Online:2006-11-25 Published:2012-06-28

Abstract: By using congruence and recurrent sequence,the author has proved that the Diophantine equation  x3-8=61y2 has only the integer solution (x,y)=(2,0).

Key words: Diophantine equation, integer solution, recurrent sequence, Jacobi symbol

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