摘要
Graham曾猜测：有无穷多个正整数n适合同余式2n＝k（modn）其中k≠1为任意给定的整数，本文证明了当k＝±2m，k≠1，m为正整数时Graham猜测成立，同时我们得到了同余式a(kn-b)≡－C(kn-b)（modn）的一些结果，并提出如下猜想：对任意给定的正整数a，c，（a，c）＝1均存在无穷多个正整数n适合同余式．an-2≡-cn-（modn）
Grraham conjectured:if k≠1 be given integer,then there exists infinitely many positive integers nsuch tha 2≡k(modn), In this paper, we proue that: ifk= ±2, k≠1 m a positive integer, thenGraham conjecture is true. Meanwhile we obtain some results on the congruence'an-2≡-cn-2 (modn )and propose the following conjectureConjecture: for any given positive integers a c , (a,c) =1, there are infinitely many positive integers n satistying the congruencean-2≡ -cn-2 (modn )
出处
《益阳师专学报》
1994年第6期27-30,共4页
Journal of Yiyang Teachers College
