摘要
对于Pell方程组x2-2y2=-1和y2-pqz2=4(p,q为两个不同素数),证明了:当pq≡2(mod4)或pq≡3(mod4)时,方程组无解.并讨论了当pq≡1(mod4)时方程组解的情况.
To the system of PeWs equations x2-2y2=-1 and y2-pqz2=4 （p, q are two different primes ）,this text has proved that the equation group doesn＇t have any solution when pq≡2（mod4） or pq≡3（mod4） . The situation that the equation group was solved at the time of pq≡1（mod4） has been diseussed.
出处
《宁德师范学院学报（自然科学版）》
2012年第3期250-253,共4页
Journal of Ningde Normal University(Natural Science)
关键词
PELL方程
正整数解
素数
Pell＇s equation
non-trivial solution
prime number
