Tian He
Abstract
Using the elementary method and algebraic number theory,the integer solution of the Diophantine equation x2+4=y7 is discussed in this paper,and the Diophantine equation x2+4=y7 which has no integer solution is proved.
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Using the elementary method and algebraic number theory,the integer solution of the Diophantine equation x2+4=y7 is discussed in this paper,and the Diophantine equation x2+4=y7 which has no integer solution is proved.
Key concepts: Diophantine equation, Integer (computer science), Diophantine set, Mathematics, Legendre's equation, Algebraic equation, Algebraic number, Thue equation