| 摘要: |
| 在Heron三角形边长为Lucas数的情况下,应用同余法,证明不存在边长为Ln-k,Ln,Ln(1 ≤ k<n)的Heron三角形. |
| 关键词: Lucas三角形 Fibonacci数 Lucas数 |
| DOI： |
| 投稿时间：2007-11-12 |
| 基金项目:重庆市教委科研基金项目(KJ050807)资助 |
|
| A Proof of Lucas Triangles Conjecture |
|
LIN Li-juan
|
| (College of Mathematics and Computer, Chongqing Normal University, Chongqing, 400047, China) |
| Abstract: |
| Lucas triangles do not exist with 1 ≤ k<n has been proved by using congruence, when the side of Heron triangle are lucas numbers. |
| Key words: Lucas triangle Fibonacci numbers Lucas numbers |
