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earned this badge 29 times.
Examples of eventual counterexamples
Awarded Apr 14 at 18:36
Does greedy circle packing exhaust the measure of every bounded open set in the plane?
Awarded Mar 20 at 10:41
Is every polynomial of the form $2x^{2n} -x^n +1$ irreducible over $\mathbb{Z}$?
Awarded Feb 15 at 23:31
Most elementary proof showing that exponential growth wins against polynomial growth
Awarded Nov 6, 2023 at 4:43
What is the simplest proof that the density of primes goes to zero?
Awarded Jul 13, 2021 at 18:10
What is the minimal size of a partial order that is universal for all partial orders of size n?
Awarded May 10, 2021 at 16:50
Alternative proofs sought after for a certain identity
Awarded Dec 20, 2020 at 22:12
Is it possible to create a polynomial $p(x)$ with this relation between $p(0)$ and $p(c)$?
Awarded Dec 17, 2020 at 5:35
How to prove that $a + b + 4 \sqrt{1 + a^{2} + b^{2}} \leq 4 \sqrt{a^{2} + b^{2}} + \sqrt{1+b^{2}} + \sqrt{1+a^{2}} + 2 $ for all $a, b > 0$?
Awarded Nov 10, 2020 at 15:20
How to prove $e^x\left|\int_x^{x+1}\sin(e^t) \,\mathrm d t\right|\le 1.4$?
Awarded Jul 13, 2020 at 10:05
Simultaneous Diophantine approximation of $\sqrt{2}$ and $\sqrt{2\pm \sqrt{3}}$
Awarded Feb 24, 2020 at 0:10
An equality about sin function?
Awarded Aug 14, 2019 at 17:55
A conjectural trigonometric identity
Awarded Aug 5, 2019 at 19:50
Examples of notably long or difficult proofs that only improve upon existing results by a small amount
Awarded Sep 7, 2018 at 2:00
How to prove positivity of determinant for these matrices?
Awarded Jul 9, 2018 at 18:58
Combinatorial identity: $\sum_{i,j \ge 0} \binom{i+j}{i}^2 \binom{(a-i)+(b-j)}{a-i}^2=\frac{1}{2} \binom{(2a+1)+(2b+1)}{2a+1}$
Awarded Jun 26, 2018 at 13:01
Important formulas in combinatorics
Awarded Jun 26, 2018 at 13:01
What is the value of this double sum in closed form?
Awarded Jun 5, 2018 at 1:21
Nonequivalent definitions in Mathematics
Awarded Nov 26, 2017 at 9:08
Does there exist a graph with maximum degree 8, chromatic number 8, clique number 6?
Awarded Oct 19, 2017 at 6:11
A combinatorial identity
Awarded Aug 15, 2017 at 15:37
A curious sin-integral
Awarded Jun 19, 2017 at 7:44
Sum over permutations is 1
Awarded Feb 23, 2017 at 3:31
Special rational numbers that appear as answers to natural questions
Awarded Dec 22, 2016 at 15:59
integral of a "sin-omial" coefficients=binomial
Awarded Nov 24, 2016 at 1:58
The number $\pi$ and summation by $SL(2,\mathbb Z)$
Awarded Sep 18, 2016 at 17:23
An equality involving roots of unity which holds most of the times, but not always
Awarded Apr 5, 2016 at 12:47
Examples of common false beliefs in mathematics
Awarded Jul 28, 2015 at 22:08
Prove that expression is integer
Awarded Jul 14, 2015 at 13:02

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