论文标题

给定多项式的素数分隔值

Primes dividing values of a given Polynomial

论文作者

Prasad, Devendra

论文摘要

令$ p(x)\ in \ mathbb {z} [x] $为多项式。我们简单而新的证据证明了一组Primes $ p $,使得$ p \ mid p(n)$,对于某些$ n \ in \ mathbb {z} $是无限的。对于某些特殊域,我们还可以对此结果进行模拟。

Let $P(x) \in \mathbb{Z}[x]$ be a polynomial. We give an easy and new proof of the fact that the set of primes $p$ such that $p \mid P(n)$, for some $n \in \mathbb{Z}$, is infinite. We also get analog of this result for some special domains.

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