Mathematics
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Roby5

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12 Show that $3^{2008}$ + $4^{2009}$ can be written as product of two positive integers each of which is larger than $2009^{182}$. May 30 '16
9 Find $x+y+z$ From Equations Including Radicals Aug 26 '16
8 How much is the minimum of $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ Jul 11 '16
7 Find all positive integers satisfying: $x^5+y^6=z^7$ Jul 12 '16
7 Show that $7^{\sqrt {5}}>5^{\sqrt {7}}.$ May 17 '16
7 The numbers $1,\frac{1}{2},\frac{1}{3},\dots,\frac{1}{100}$ are written on a white board Aug 3 '16
7 The function $f$ has property: $f(x)+f(1/x)=x$ and what is the largest set of real numbers? Jul 6 '16
6 Find all prime $a, b, c$ such that $ab+bc+ac > abc$ May 31 '17
5 If $n$ is an integer then $4$ does not divide $n^2 - 3$ Aug 3 '16
5 Solution of $4 \cos x(\cos 2x+\cos 3x)+1=0$ May 28 '16
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