Top network posts

• 30 Find the exact value of the infinite sum $\sum_{n=1}^\infty \big\{\mathrm{e}-\big(1+\frac1n\big)^{n}\big\}$
• 26 Are the any non-trivial functions where $f(x)=f'(x)$ not of the form $Ae^x$
• 21 Show that for every prime $p$, there is an integer $n$ such that $2^{n}+3^{n}+6^{n}-1$ is divisible by $p$.
• 10 Determinant of circulant matrix
• 10 If all the numbers $(1^\alpha,\,2^\alpha,\,3^\alpha,\,\dotsc)$ are integer, then $\alpha$ is an integer.
• 9 The totient of Fibonacci numbers is divisible by $4$
• 9 Solving complex numbers equation $z^3 = \overline{z} $
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