CryoDrakon

Member for 9 years
Last seen more than a week ago

Dortmund, Germany

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Top tag

elementary-number-theory

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Questions

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12

Prove that $a+b$ can't divide $a^a+b^b$ nor $a^b+b^a$

Jan 24, 2015

10

Proving the inequality $4\ge a^2b+b^2c+c^2a+abc$

Nov 18, 2014

8

Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$

Jan 6, 2015

8

Closed form of $\int\limits_0^{2\pi} \prod\limits_{j=1}^n \cos(jx)dx$ and combinatorial link

Aug 10, 2020

7

Find all $n$ so that $s(2^n)=s(5^n)$

Jan 17, 2015

Answers

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9

Let $p$ be a prime so $p\equiv3\pmod4$. If $p|a^2+b^2$, then $p|a,b$

Sep 16, 2016

4

Simplifying system of two-variable differential equations

Jan 23, 2018

4

Prove that primes of the form $2n^2+10n+15$ are also of the form $36k+7$

Feb 3, 2018

4

Proving the inequality $\frac{9}4\ + \frac{3abc}4\ \ge ab+bc+ca$

Nov 18, 2014

4

Given that $n^4-4n^3+14n^2-20n+10$ is a perfect square, find all integers n that satisfy the condition

May 24, 2020

Tags

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elementary-number-theory

18

Score

15

posts

number-theory

16

Score

30

posts

modular-arithmetic

16

Score

6

posts

algebra-precalculus

13

Score

11

posts

functional-equations

12

Score

18

posts

Reputation

+10

Solving $y+\sqrt{y^2-1}=e^x$ respect to $y$

+10

Find all real functions $f$ such that $f(xf(y))=(1-y)f(xy)+x^2y^2f(y)$

+10

Solve the equation $p^x-y^p=1$

+10

Solve the equation $p^x-y^p=1$

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Feb 20, 2016
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