List questions from number-theory

Published on 14 Apr 2026 - 18:16

207

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Interesting behaviours of $\gcd(a^n+b^n, |a - b|)$

Published on 14 Apr 2026 - 23:21

56

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Name of a property in number theory

Published on 12 Apr 2026 - 19:58

4.8k

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Euler's summation formula proof

Published on 14 Apr 2026 - 5:11

541

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Find the smallest positive integer $m$ such that $ {2015}\choose{m} $ is an even number

Published on 04 May 2026 - 11:07

99

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An infinite number of primes in the sequence

Published on 14 Apr 2026 - 16:50

56

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$O$ is dedekind domain and $K=Frac(O)$. Suppose $a\in L$ where $L/K$ is finite separable extension. If $Tr(a), Norm(a)\in O$, is $a\in O_L$?

Published on 14 Apr 2026 - 18:46

219

Views

Goldbach's conjecture and Diophantine equations.

Published on 16 Apr 2026 - 7:55

250

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Collatz 3n+1 problem

Published on 14 Apr 2026 - 4:50

249

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Finding integer solutions to $ \frac{a^3+b^3}{a^3+c^3} = \frac{a+b}{a+c} $

Published on 17 Apr 2026 - 2:59

368

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Is every positive integer greater than $2$ the sum of a prime and two squares?

Published on 18 Apr 2026 - 10:23

70

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Understanding part of derivation of Chebychev's Theorem

Published on 16 Apr 2026 - 23:43

284

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Help prove $p^4 + 4q^4$ is never a perfect square?

Published on 15 Apr 2026 - 11:51

363

Views

A simple method of factorization $ 2^{30}+1 $

Published on 14 Apr 2026 - 0:03

177

Views

Square in narrow ideal class group?

Published on 10 Apr 2026 - 5:45

List Question

It is true that $2\sin(54)$ equals $(1+\sqrt5)/2$?

Interesting behaviours of $\gcd(a^n+b^n, |a - b|)$

Name of a property in number theory

Euler's summation formula proof

Find the smallest positive integer $m$ such that $ {2015}\choose{m} $ is an even number

An infinite number of primes in the sequence

$O$ is dedekind domain and $K=Frac(O)$. Suppose $a\in L$ where $L/K$ is finite separable extension. If $Tr(a), Norm(a)\in O$, is $a\in O_L$?

Goldbach's conjecture and Diophantine equations.

Collatz 3n+1 problem

Finding integer solutions to $ \frac{a^3+b^3}{a^3+c^3} = \frac{a+b}{a+c} $

Is every positive integer greater than $2$ the sum of a prime and two squares?

Understanding part of derivation of Chebychev's Theorem

Help prove $p^4 + 4q^4$ is never a perfect square?

A simple method of factorization $ 2^{30}+1 $

Square in narrow ideal class group?

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