LUCAS-SIERPINSKI AND LUCAS-RIESEL NUMBERS

被引：0
|
作者：
Baczkowski, Daniel [1 ]
Fasoranti, Olaolu [2 ]
Finch, Carrie E. [2 ]
机构：
[1] Univ Findlay, Math Dept, Findlay, OH 45840 USA
[2] Washington & Lee Univ, Math Dept, Lexington, VA 24450 USA
来源：
FIBONACCI QUARTERLY | 2011年 / 49卷 / 04期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that there are infinitely many Sierpinski numbers in the sequence of Lucas numbers. We also show that there are infinitely many Riesel numbers in the sequence of Lucas numbers. Finally, we show that there are infinitely many Lucas numbers that are not a sum of two prime powers.
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页码：334 / 339
页数：6
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