Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (1): 35-39,1.

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On the Diophantine Equation x3+1=38y2(Chinese)

DUAN Hui-ming   

  1. Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
  • Received:2004-09-30 Revised:2005-02-14 Online:2006-01-25 Published:2006-01-25
  • Contact: DUAN Hui-ming

Abstract:

This paper has proved that the Diophantine equation x3+1=38y2 has only integer solutions(x,y)=(-1, 0),(31,±28).

Key words: Diophantine equation, recurrent sequence, quadratic remainder, integer solution, Diophantine equation, recurrent sequence, quadratic remainder

CLC Number: