摘要
利用初等数论的方法证明了:如果p是适合p≡3,7(mod8)的奇素数,则方程x3-1=3py2无正整数解;如果p是适合p≡7(mod8)的奇素数,则方程x3+1=3py2无正整数解.
It was proved that if p is an odd prime with p≡3,7(mod8),then the equation x3-1=3py2 has no positive integer solutions,and if p is an odd prime with p≡7(mod8),then the equation x3+1=3py2 has no positive integer solutions.
出处
《高师理科学刊》
2010年第3期41-42,共2页
Journal of Science of Teachers＇College and University
关键词
丢番图方程
正整数解
同余
Diophantine equation
positive integer solution
congruence
