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earned this badge 127 times.
Does greedy circle packing exhaust the measure of every bounded open set in the plane?
Awarded Mar 16 at 22:01
Prove positivity of a binomial sum
Awarded Feb 25 at 23:19
Is every polynomial of the form $2x^{2n} -x^n +1$ irreducible over $\mathbb{Z}$?
Awarded Feb 15 at 23:37
Universal graph
Awarded Jan 23 at 5:08
Fraction of subsets with one-third sum
Awarded Jan 16 at 5:35
Polynomial inequalities of the form $\int_0^1 |f(x)|^2 x \,dx \geq C \int_0^1 |f(x)|^2 \,dx$
Awarded Jan 11 at 16:18
$\lim_{b \rightarrow \infty} {^{b}a} \in \mathbb{Q}_p$ for any $a \in \mathbb{Z}^+$?
Awarded Jan 3 at 15:32
On the number of distinct prime factors of $p^2+p+1$
Awarded Dec 20, 2023 at 3:50
For any integer $n>0$, does there always exist a prime $p>n$ such that $p\mid 2^n-1$?
Awarded Sep 8, 2023 at 6:48
A variant of the corners problem
Awarded Aug 15, 2023 at 19:25
A number theoretic conjecture by Chat GPT
Awarded Jul 10, 2023 at 20:11
Torsion units of the ring $\mathbb{Z}[x]/(1+x+x^2+\cdots+x^{n-1})$
Awarded Jul 4, 2023 at 4:57
Proving an identity about Catalan numbers
Awarded May 8, 2023 at 21:26
Is every positive polynomial the ratio of 2 positive coefficient polynomials?
Awarded May 8, 2023 at 8:45
Does the sum of reciprocal of integers with average power at least two converge?
Awarded Mar 22, 2023 at 14:51
Are two metric spaces isometric if they have the same $\varepsilon$-covering and $\varepsilon$-packing numbers for all $\varepsilon>0$?
Awarded Mar 7, 2023 at 2:41
A congruence for a product of binomial coefficients?
Awarded Dec 30, 2022 at 8:56
A binary hook-length formula?
Awarded Nov 12, 2022 at 15:55
Inequality of two variables
Awarded Oct 4, 2022 at 17:11
Prove that $\frac{2^n-2}{n}$ is composite number
Awarded Sep 27, 2022 at 12:32
A coincidence or a fact: determinants of two matrices
Awarded Aug 8, 2022 at 16:27
Equidifferentiable functions
Awarded Jun 8, 2022 at 4:05
Is this function rational?
Awarded Jun 4, 2022 at 18:46
Asymptotics for $\int\exp( -x t / \log t)dt$
Awarded Jun 4, 2022 at 13:04
Positiveness of Banach limit
Awarded May 9, 2022 at 4:04
Bipartite version of Hamming bound (two families of codewords with large Hamming distance)?
Awarded Apr 30, 2022 at 6:18
Does every measurable subset of $\mathbb R$ of non zero Lebesgue measure contain arbitrarily long arithmetic progressions?
Awarded Apr 12, 2022 at 4:47
Formula expressing symmetric polynomials of eigenvalues as sum of determinants
Awarded Mar 2, 2022 at 22:05
Is $C_n$ infinitely log-convex?
Awarded Jan 3, 2022 at 20:20
Does irreducible polynomial remain reduced by pre-composition?
Awarded Oct 24, 2021 at 9:40
The determinant of a $4\times4$ matrix associated to some specific polynomial as follow
Awarded Sep 20, 2021 at 16:41
Strange formula for area of a convex polygon
Awarded Sep 18, 2021 at 0:42
A multiple integral that seems related to the $\zeta$ function at even integers
Awarded Sep 8, 2021 at 10:47
An infinite series involving harmonic numbers
Awarded Aug 24, 2021 at 21:16
When $p(x)^2 \mid f(g(x))$?
Awarded Jul 18, 2021 at 18:56
Equation $\ p=\binom m2+\binom n2$
Awarded Jul 15, 2021 at 17:06
A surprising identity: $\det[\cos\pi\frac{jk}n]_{1\le j,k\le n}=(-1)^{\lfloor\frac{n+1}2\rfloor}(n/2)^{(n-1)/2}$
Awarded Jun 6, 2021 at 9:51
Extending continuous functions from $\mathbb Q$ to $\mathbb R$
Awarded Jun 5, 2021 at 16:08
Is it always true that $\sum_{i=1}^{a-1}(-1)^i(a,i)\ge-1$?
Awarded May 17, 2021 at 8:16
Is it a new discovery on conic section?
Awarded May 8, 2021 at 20:55
Three circles intersecting at one point
Awarded Apr 24, 2021 at 16:22
Is this operator bounded?
Awarded Mar 8, 2021 at 0:42
On the determinant $\det[\gcd(i-j,n)]_{1\le i,j\le n}$
Awarded Feb 24, 2021 at 0:25
Rank of $A\otimes B - B\otimes A$
Awarded Feb 15, 2021 at 16:18
Counting monomials in product polynomials: Part I
Awarded Jan 11, 2021 at 18:22
Intersection point of three circles
Awarded Jan 1, 2021 at 17:16
Representing graphs as unions of trees
Awarded Dec 24, 2020 at 13:32
An interesting inequality
Awarded Dec 21, 2020 at 2:43
equality of expressions for sum
Awarded Dec 21, 2020 at 2:43
On the number $\alpha>1$ such that $lim_{n \to \infty}{d(\alpha^n, \mathbb{Z})}$ = 0
Awarded Dec 21, 2020 at 2:43
An elementary-looking integral inequality
Awarded Dec 18, 2020 at 17:55
Example of a function with a curious property
Awarded Aug 16, 2020 at 16:48
Primality test for $N=2^a3^b+1$
Awarded Aug 1, 2020 at 9:16
A generalized theorem of Hall's marriage theorem
Awarded Jun 17, 2020 at 11:37
How to prove $e^x\left|\int_x^{x+1}\sin(e^t) \,\mathrm d t\right|\le 1.4$?
Awarded Mar 11, 2020 at 6:05
A question about open subsets of Hilbert space whose complements are compact sets
Awarded Feb 27, 2020 at 6:15
$\exists k$ s.t. $k^m\le 1^m+2^m+...+(k-1)^m <2\cdot k^m$?
Awarded Feb 22, 2020 at 15:20
A trapping set with finite measure
Awarded Jan 27, 2020 at 20:30
$n$ lines in general position; there are $n-2$ small triangles
Awarded Jan 4, 2020 at 10:40
Total positivity of $q$-Pascal matrix?
Awarded Dec 5, 2019 at 21:50
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