List questions from elementary-number-theory

Published on 16 Apr 2026 - 15:31

140

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Greatest common divisor property: $\gcd(a, b)=\gcd(a+nb, b)$

Published on 15 Apr 2026 - 13:57

74

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Is $a+b=ab=a^{'}+b^{'}=a^{'}b^{'}$ possible for different elements of $\mathbb Z / n \mathbb Z$?

Published on 17 Apr 2026 - 0:12

205

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Simplifying $\gcd(a^x + 1, a^y + 1)$

Published on 15 Apr 2026 - 11:22

146

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How I show that $(b-a)^p \equiv b^p-a^p \mod{p}$?

Published on 17 Apr 2026 - 12:45

340

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What are the factors of this quotient given by Fermat's Little Theorem?

Published on 12 Apr 2026 - 17:00

194

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About the definition of Fractional Ideals in Number Fields

Published on 11 Apr 2026 - 10:45

68

Views

Totient values of consecutive positive integers forming a pythagorean triple

Published on 13 Apr 2026 - 21:03

119

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What is a good source of questions on primitive roots and order?

Published on 10 Apr 2026 - 9:07

56

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Help proving an equality about arithmetic functions

Published on 10 Apr 2026 - 13:24

126

Views

Fermat's Theorem Proof

Published on 14 Apr 2026 - 6:30

39

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Proving that order of primitive root is in either $p-1$ either $p(p-1)$

Published on 15 Apr 2026 - 19:10

107

Views

Find all solutions to $1!\times 3! \times \cdots \times (2n -1)!=m!$

Published on 12 Apr 2026 - 21:22

59

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Proving that there doesn't exist $n,m\in\mathbb{N}$ that satisfy $\phi(n)=2*13^{2m-1}$

Published on 17 Apr 2026 - 22:29

87

Views

Proving that $r+p^{\alpha}$ is a primitive root of $2p^{\alpha}$

Published on 15 Apr 2026 - 20:34

List Question

Do any (non-trivial) 2-chains of Pythagorean triplets exist?

Greatest common divisor property: $\gcd(a, b)=\gcd(a+nb, b)$

Is $a+b=ab=a^{'}+b^{'}=a^{'}b^{'}$ possible for different elements of $\mathbb Z / n \mathbb Z$?

Simplifying $\gcd(a^x + 1, a^y + 1)$

How I show that $(b-a)^p \equiv b^p-a^p \mod{p}$?

What are the factors of this quotient given by Fermat's Little Theorem?

About the definition of Fractional Ideals in Number Fields

Totient values of consecutive positive integers forming a pythagorean triple

What is a good source of questions on primitive roots and order?

Help proving an equality about arithmetic functions

Fermat's Theorem Proof

Proving that order of primitive root is in either $p-1$ either $p(p-1)$

Find all solutions to $1!\times 3! \times \cdots \times (2n -1)!=m!$

Proving that there doesn't exist $n,m\in\mathbb{N}$ that satisfy $\phi(n)=2*13^{2m-1}$

Proving that $r+p^{\alpha}$ is a primitive root of $2p^{\alpha}$

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