mathlove

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

Mar 11, 2015

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

Oct 1, 2013

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

Dec 1, 2013

Does this sequence always give an integer?

Sep 30, 2013

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

Sep 26, 2013

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

Dec 3, 2013

Primality test for generalized Fermat numbers

Oct 7, 2018

Primality test for specific class of $N=8kp^n-1$

Jun 2, 2020

About the set of all the solutions $\mathbf x=(x_1,x_2,\cdots,x_m)$ to $\sum_{j=1}^m\frac{1}{x_j}=\frac1n$

Oct 6, 2013

If $\left(1^a+2^a+\cdots+n^{a}\right)^b=1^c+2^c+\cdots+n^c$ for some $n$, then $(a,b,c)=(1,2,3)$?

Oct 12, 2013

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