摘要
本文证明了Ｘ３＋１＝ＤＹ２（０＜Ｄ＜１００，不含平方因子，且被６ｋ＋１形素数整除，Ｄ≠７，１４，３５，３７，３８，５７６５，８６９１）无非平凡整数解。
In this paper we prove that X3+1=DY2 don't have nontrival integer solutions where D is squarefree integer which is divisible by primes of the form 6k|1 with D>0 and D≠7, 14, 35,37, 38, 57, 65, 86, 91.
出处
《哈尔滨师范大学自然科学学报》
1995年第4期32-36,共5页
Natural Science Journal of Harbin Normal University
关键词
整数解
PELL方程
丢番图方程
Diophantine equation
Pell equation
Nontrivial integer solution
