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HeatTheIce
Dortmund, Germany
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Top Questions
12
votes
Prove that $a+b$ can't divide $a^a+b^b$ nor $a^b+b^a$
elementary-number-theory
proof-strategy
asked Jan 24, 2015 at 14:57
math.stackexchange.com
10
votes
Proving the inequality $4\ge a^2b+b^2c+c^2a+abc$
inequality
a.m.-g.m.-inequality
rearrangement-inequality
asked Nov 18, 2014 at 19:27
math.stackexchange.com
9
votes
Closed form of $\int\limits_0^{2\pi} \prod\limits_{j=1}^n \cos(jx)dx$ and combinatorial link
integration
combinatorics
trigonometry
products
asked Aug 10, 2020 at 22:17
math.stackexchange.com
8
votes
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
functional-equations
asked Jan 6, 2015 at 19:17
math.stackexchange.com
7
votes
Find all $n$ so that $s(2^n)=s(5^n)$
number-theory
asked Jan 17, 2015 at 23:45
math.stackexchange.com
6
votes
Solve $3^a-5^b=2$ for integers a and b.
number-theory
exponential-diophantine-equations
asked Nov 23, 2014 at 10:27
math.stackexchange.com
6
votes
Prove the following inequality $\sqrt[n]{x_1x_2...x_n}\ge (n-1)$
inequality
asked Feb 3, 2015 at 14:24
math.stackexchange.com
6
votes
Show that for $n$ distinct numbers the following holds
number-theory
asked Jan 23, 2016 at 15:06
math.stackexchange.com
6
votes
Prove that one of the elements can't be in the interval $(0,1)$
algebra-precalculus
inequality
fractions
asked Jan 26, 2016 at 10:33
math.stackexchange.com
6
votes
Android Things on Pi 2
pi-2
android-things
asked Jan 15, 2017 at 18:29
raspberrypi.stackexchange.com
1
2
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Top Answers
10
Let $p$ be a prime so $p\equiv3\pmod4$. If $p|a^2+b^2$, then $p|a,b$
math.stackexchange.com
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