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| 摘要: |
| Fibonacci数列和Lucas数列的性质一直是数论中重要的研究内容之一,运用初等方法,证明了在k=7时Fibonacci三角形不存在. |
| 关键词: Fibonacci数 Lucas数 Fibonacci三角形 平方剩余 Jacobi符号 |
| DOI： |
| 分类号:O156 |
| 基金项目:重庆市教委科研基金项目（KJ050807）. |
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| A proof of Fibonacci triangles conjecture with k=7 |
|
LIN Li-Juan
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| Abstract: |
| The property of Fibonacci sequence and the Lucas sequence is one of the important research contents in number theory.In this paper,the author proved that Fibonacci triangles do not exist when k=7,by the property of Jacobi symbol and quadrate residue. |
| Key words: Fibonacci numbers,Lucas numbers,Fibonacci triangle,quadrate residue,Jacobi symbol |
