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Top Questions
15
votes
Can the sum of the first $n$ squares be a cube?
number-theory
elementary-number-theory
algebraic-number-theory
diophantine-equations
asked Nov 26, 2016 at 10:24
math.stackexchange.com
13
votes
Are there any solutions to the diophantine equation $x^n-2y^n=1$ with $x>1$ and $n>2$?
nt.number-theory
diophantine-equations
diophantine-approximation
asked Dec 13, 2016 at 14:11
mathoverflow.net
11
votes
How to efficiently compute the minimal polynomial of a number expressed in radicals?
abstract-algebra
numerical-methods
computational-mathematics
minimal-polynomials
computer-algebra-systems
asked Feb 20, 2020 at 22:05
math.stackexchange.com
10
votes
How to effectively compute fundamental units in rings?
abstract-algebra
ring-theory
algebraic-number-theory
asked Nov 17, 2017 at 19:35
math.stackexchange.com
10
votes
Solutions to the diophantine equation $x^n-2y^n=1$. Can the sum of the first $n$ squares be a perfect power?
number-theory
diophantine-equations
diophantine-approximation
asked Dec 4, 2016 at 5:00
math.stackexchange.com
8
votes
Why are the minimal solutions of the Pell equation $x^2-(n^2-3)y^2=1$ larger than average when $3 \not | n$?
number-theory
diophantine-equations
pell-type-equations
asked Sep 16, 2017 at 20:43
math.stackexchange.com
6
votes
What are the coefficients of $(x+1)(x+2)\dotsb(x+n)$?
polynomials
asked Oct 20, 2016 at 12:29
math.stackexchange.com
6
votes
Is there a closed form for $\int_0^\infty \frac{1-\cos(tx)}{e^t-1}dt$?
integration
complex-analysis
definite-integrals
asked Aug 12, 2017 at 8:41
math.stackexchange.com
6
votes
How to state and prove a certain result from modular arithmetic in algebraic terms?
group-theory
modular-arithmetic
asked Oct 13, 2020 at 11:58
math.stackexchange.com
5
votes
Which set of chords through a unit circle minimizes the largest demarcated area?
geometry
optimization
euclidean-geometry
circles
asked Jan 22, 2020 at 12:51
math.stackexchange.com
1
2
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Top Answers
41
Can I search for factors of $\ (11!)!+11!+1\ $ efficiently?
math.stackexchange.com
18
Show that, for any two integers $a$ and $b$, at least one of the expressions $a^3, b^3, a^3+b^3$ or $a^3-b^3$ will be divisible by $7$.
math.stackexchange.com
10
Does $\sum\frac{4^n(n!)^2}{(2n)!}$ converge?
math.stackexchange.com
10
There does not exist natural numbers such that $\frac{m}{n}+\frac{n+1}{m}=4$.
math.stackexchange.com
9
Is there any deep reason that 23456789 is prime?
math.stackexchange.com
8
Methods to compute $\sum_{k=1}^nk^p$ without Faulhaber's formula
math.stackexchange.com
8
Why Special Limit of Euler's Number fails at higher powers?
math.stackexchange.com
7
Integer solutions of $x^2+5y^2=231^2$
math.stackexchange.com
6
Why does partial differentiation give centre of a conic?
math.stackexchange.com
6
Computing $\tan\left(10^{100}\right)$ - what does it have to do with $100$-th digit of $\pi$?
math.stackexchange.com
5
What is $\sin(nx)$ iteration in terms of $\sin A$ and $\cos A$?
math.stackexchange.com
5
Is it possible to have three real numbers that have both their sum and product equal to $1$?
math.stackexchange.com
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