학술논문
Lower Bound for the Greatest Prime Divisors of the Generalized Fermat Numbers.
Document Type
Article
Author
Source
Subject
*FERMAT numbers
*NUMBER theory
*PRIME numbers
*RINGS of integers
*RING theory
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Language
ISSN
0129-2021
Abstract
For every positive integer k > 1, let P(k) be the largest prime divisor of k. Denote by Fn = 2²n + 1 the nth Fermat number and by Fn(a) = a²n + 1 the nth generalized Fermat number. Using the mesthod of [3], we obtain an improvement of the lower bound for the P(k) in the case k = Fn(a). [ABSTRACT FROM AUTHOR]