LUCAS SEQUENCES CONTAINING FEW PRIMES

被引：0
|
作者：
Broderius, Mark [1 ]
Greene, John [1 ]
机构：
[1] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USA
来源：
FIBONACCI QUARTERLY | 2021年 / 59卷 / 02期
关键词：
DIVISORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Whereas proving that a Lucas sequence contains infinitely many primes is a difficult problem, there are many Lucas sequences that contain no primes or finitely many primes. We give two families of Lucas sequences containing only finitely many primes. We conjecture that all other Lucas sequences without obvious obstructions contain infinitely many primes.
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页码：136 / 144
页数：9
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