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Fedor Petrov's user avatar
Fedor Petrov's user avatar
Fedor Petrov's user avatar
Fedor Petrov
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175
17 camels trick
Jun 7, 2017
70
integral of a "sin-omial" coefficients=binomial
Nov 19, 2016
59
Examples of notably long or difficult proofs that only improve upon existing results by a small amount
Sep 6, 2018
57
Most elementary proof showing that exponential growth wins against polynomial growth
Nov 5, 2023
54
If any open set is a countable union of balls, does it imply separability?
Sep 18, 2014
52
The number $\pi$ and summation by $SL(2,\mathbb Z)$
Sep 16, 2016
48
Is every polynomial of the form $2x^{2n} -x^n +1$ irreducible over $\mathbb{Z}$?
Feb 15, 2024
43
Prove that expression is integer
Jul 12, 2015
40
A curious sin-integral
Jun 16, 2017
40
Does there exist a graph with maximum degree 8, chromatic number 8, clique number 6?
Oct 18, 2017
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25
Does $8a+5$ ever divide $b^2+8$?
11
Can we partition the plane like this?
10
$ e^{-\mu } \sum_{k=m }^{\infty} \frac{\mu^k}{k!} \le (\frac{\mu}{m})^m e^{m-\mu} $ when $1\le \mu \le m$
7
Prove $ae^{\frac{x}{a}} + be^{-\frac{x}{b}}\leq e^{\frac{x^2}{8a^2b^2}}, \forall x \in \mathbb{R}$ if $a, b > 0; a + b = 1$
6
How to prove specific inequality, assuming $\prod\limits_{i=1}^{n}(a_{i}-1)=1$