Author(s): LE Maohua
Pages: 1-2
Year: 2004 Issue:  5
Journal: JOURNAL OF QINGHAI JUNIOR TEACHERS' COLLEGE(EDUCATION SCIENCE)
Keyword:  指出Diophantine方程; 正整数解; 可解性;
Abstract: 设p是奇素数,D是无平方因子正奇数,本文证明了:当p≡5(mod 12),D≡1(mod 4)时,如果D不能被p或6k+1之形素数整除,则方程x3-p3n=Dy2没有适合gcd(x,y)=1的正整数解(x,y,n).