User:DanielL2000

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The home of DL2000

Problems

1. Find all positive integer solutions $x, y, z$ of the equation $3^x \plus{} 4^y \equal{} 5^z.$ (Error compiling LaTeX. Unknown error_msg) (IMO Shortlist 1991)

2. Find the number of integers $n$ such that \[1+\left\lfloor\dfrac{100n}{101}\right\rfloor=\left\lceil\dfrac{99n}{100}\right\rceil.\] (Harvard-MIT Math Tournament)

Online Math Circle

Go to the OMC or Online Math Circle at:

newyorkmathcircle.weebly.com