List questions from elementary-number-theory

Published on 06 Apr 2026 - 21:57

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If $n$ is odd then $n^2$ is odd

Published on 13 Apr 2026 - 13:11

58

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Problem on divisibility (Fermat's Theorem?)

Published on 11 Apr 2026 - 4:07

95

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Implications based on the equality $y^2 = x^3 +xz^4$ for integers $x,y,z$

Published on 22 Mar 2018 - 8:07

323

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Markov triples that survive Euler's totient function

Published on 14 Apr 2026 - 0:53

71

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Prove that if $p$ is a prime, then $p^3\mid y^2\implies p\mid y^2\implies p\mid y$.

Published on 22 Mar 2018 - 10:50

81

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Equality of elements of set

Published on 13 Apr 2026 - 19:57

136

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Finding integer values of $n$

Published on 12 Apr 2026 - 7:03

535

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$1$ as difference of composites with same number of prime factors and smallest examples

Published on 13 Apr 2026 - 5:15

2.6k

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How can I solve a problem using the Chinese remainder theorem and how does mod operator is understood correctly?

Published on 25 Mar 2026 - 7:42

554

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Lemma's needed to proof the fundamental theorem of arithmetic

Published on 09 Apr 2026 - 20:37

49

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$p$ is prime and $n>1$ integer such that $p|{n \choose k} , \forall 1\le k \le n-1$ , then $n$ is a power of $p$?

Published on 14 Apr 2026 - 6:04

151

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Can every number in $\mathbb{N}$ be written in base $-10$?

Published on 12 Apr 2026 - 20:11

25

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Prove that $a^{4b+c} + a^{4b+d}\equiv 0[30]$

Published on 25 Mar 2026 - 7:49

3.8k

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Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

Published on 29 Mar 2026 - 17:25

List Question

Calculating the Legendre symbol

If $n$ is odd then $n^2$ is odd

Problem on divisibility (Fermat's Theorem?)

Implications based on the equality $y^2 = x^3 +xz^4$ for integers $x,y,z$

Markov triples that survive Euler's totient function

Prove that if $p$ is a prime, then $p^3\mid y^2\implies p\mid y^2\implies p\mid y$.

Equality of elements of set

Finding integer values of $n$

$1$ as difference of composites with same number of prime factors and smallest examples

How can I solve a problem using the Chinese remainder theorem and how does mod operator is understood correctly?

Lemma's needed to proof the fundamental theorem of arithmetic

$p$ is prime and $n>1$ integer such that $p|{n \choose k} , \forall 1\le k \le n-1$ , then $n$ is a power of $p$?

Can every number in $\mathbb{N}$ be written in base $-10$?

Prove that $a^{4b+c} + a^{4b+d}\equiv 0[30]$

Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

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