The simultaneous diophantine equations 5Y2 ? 20 = X2 and 2Y2 + 1 = Z2 |
| |
Authors: | SP Mohanty AMS Ramasamy |
| |
Institution: | Department of Mathematics, Indian-Institute of Technology, Kanpur-208016, U.P., India |
| |
Abstract: | The three numbers 1, 5, 10 have the property that the product of any two numbers decreased by 1 is a perfect square. In this paper it is proved that there is no other positive integer N which shares this property with 1, 5, and 10. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|