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mathlove

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earned this badge 15 times.

About two 'negative' continued fractions whose sum equals $1$

Awarded Jan 6, 2022 at 15:04

A special tessellation

Awarded Jun 5, 2020 at 18:17

On maximal regular polyhedra inscribed in a regular polyhedron

Awarded Nov 5, 2017 at 15:20

What is the max of $n$ such that $\sum_{i=1}^n\frac{1}{a_i}=1$ where $2\le a_1\lt a_2\lt \cdots\lt a_n\le m$?

Awarded Sep 9, 2016 at 4:15

The number of distinct prime factors of $n\in\mathbb N$

Awarded Nov 19, 2015 at 5:09

Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power

Awarded Aug 4, 2015 at 3:46

Proving $\sum_{k=0}^{2m}(-1)^k{\binom{2m}{k}}^3=(-1)^m\binom{2m}{m}\binom{3m}{m}$

Awarded Jun 25, 2015 at 16:35

Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?

Awarded May 2, 2015 at 15:35

Does this sequence always give an integer?

Awarded Apr 3, 2015 at 14:32

About the ratio of the areas of a convex pentagon and the inner pentagon made by the five diagonals

Awarded Mar 11, 2015 at 13:01

Finding an invisible circle by drawing another line

Awarded Dec 1, 2014 at 13:34

Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?

Awarded Aug 29, 2014 at 22:42

Proving that every term of the sequence is an integer

Awarded Feb 24, 2014 at 11:58

Solving $x^k+(x+1)^k+(x+2)^k+\cdots+(x+k-1)^k=(x+k)^k$ for $k\in\mathbb N$

Awarded Jan 23, 2014 at 4:47

Prove that ${\sqrt2}^{\sqrt2}$ is an irrational number without using a theorem

Awarded Aug 1, 2013 at 17:02

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