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mathlove
  • Member for 9 years, 8 months
  • Last seen more than a week ago
22 votes
Accepted

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

4 votes

Primality test for generalized Fermat numbers

3 votes

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

2 votes
Accepted

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

2 votes

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

2 votes

On odd perfect numbers $p^k m^2$ with special prime $p$ satisfying $m^2 - p^k = 2^r t$ - Part II

1 vote
Accepted

On odd perfect numbers $p^k m^2$ with special prime $p$ satisfying $m^2 - p^k = 2^r t$ - Part II

1 vote
Accepted

An inequality about the sum of some unit fractions with a property

1 vote

Numbers $n$ such that the sum of the divisors of $n$ is a nontrivial power

1 vote

On the nearest-square function and the quantity $m^2 - p^k$ where $p^k m^2$ is an odd perfect number

1 vote
Accepted

On the Diophantine equation $m^2 - p^k = 2^r t$, where $r \geq 2$ and $\gcd(2,t)=1$

1 vote

Non-trivial solution to $\sum^{n}_{i=1}\sum^{n}_{j=1,j\ne i}(x_{i})^{(x_j)}=(\sum^{n}_{i=1}x_i)^{(\sum^{n}_{i=1}x_i)}$

0 votes
Accepted

About the sum of the first half and the latter half of the cyclic numbers of a repeating decimal

0 votes

Finding the min of a sequence related with factorials