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Mathematics
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ShBh
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It is hard to learn how to learn mathematics.

$$\color{red}{``\text{All you need is that your brain is open"}}_{\text{Paul Erdos}}$$

Some of my favourite answers

(1) Polynomial outputs containing a particular Integer sequence

(2) Does $\Phi_n(\alpha)=0$ in $\Bbb{F}_p$ for some $\alpha\in\mathbb{F}_p$ imply that $\mathrm{ord}(\alpha) = n$?

(3) USA TST 2018/P1: Prove that the $n^{\text{th}}$ smallest positive integer relatively prime to $n$ is at least $\sigma(n)$

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53
A Nice Problem In Additive Number Theory
Jul 9, 2020
21
Is it possible that $2^{2A}+2^{2B}$ is a square number?
Aug 15, 2020
21
In Search Of Elementary Proof Of Kobayashi's Theorem
Dec 16, 2019
20
Book recommendation : Olympiad Combinatorics book
Aug 7, 2020
18
Let $T$ be any subset of $\{1,2,3,...,100\}$ with $69$ elements. Prove that one can find four distinct integers such that $a+b+c=d$.
Oct 15, 2017
16
Polynomial outputs containing a particular Integer sequence
May 24, 2020
13
A Pigeonhole-Principle from IMO Shortlist.
Nov 6, 2017
12
Prove that $\prod_{1\leq i,j\leq n}\frac{1+a_ia_j}{1-a_ia_j}\geq1$ for $n$ real numbers $a_i\in(-1,1)$
Mar 27, 2023
11
When is $-3$ a quadratic residue mod $p$?
Aug 1, 2020
7
Find the roots of all cubics $f(x)$ given $f(2)=1$ and all roots are integral
Aug 30, 2020
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Community Promotion Ads — 2020
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How can I delete some of my old questions?
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11
A problem in additive combinatorics
5
Applications of Tits' alternative in algebraic number theory
5
Why is "The Devil's Backbone" called that?