利用同余、递归序列、Pell方程的解的性质证明了:当D=p1…ps(1≤s≤3)其中p1…ps是互异旳奇素,不定方程组x2-30y2=1与y2-Dz2=4仅有正整数解D=483,(x,y,z)=(241,44,2).%By using congruence,recursive sequence and some properties of the solution to Pell equation,we prove that if D=p1…ps(1≤s≤3),letting p1…ps are diverse primes,the system of indefinite equations x2-30y2=1 and y2-Dz2=4 has only trivial positive integer D=483,(x,y,z)=(241,44,2).
展开▼
