| 摘要: |
| 证明n为正整数时,Cullen数Cn=n·2n+1中仅有C2=9,C3=25可以表示为完全方幂. |
| 关键词: Cullen数 丢番图方程 完全方幂 |
| DOI： |
| 投稿时间：2005-03-04修订日期：2005-04-15 |
| 基金项目:四川省教育厅自然科学基金(2004B025)资助项目。 |
|
| Perfect Powers in Cullen Numbers |
|
Ma Jie1, He Bo2
|
| (1.Dept. of Math. & Comp. Sci., China West Normal Univ., Nanchong, Sichuan, 637000, China;2.Longchang Xiangshi Middle School, Longchuan, Sichuan, 642152, China) |
| Abstract: |
| It is proved that let n be a positive integer, there is only perfect powers 9 or 25 in all Cullen numbers as Cn=n·2n+1. |
| Key words: Cullen numbers Diophantine equation perfect power |
