List questions from elementary-number-theory

Published on 11 Apr 2026 - 22:31

746

Views

Prove by Induction if x is an odd integer, then for every integer n ≥ 0, $x^{2^n}$ ≡ 1 (mod $2^{n + 1}$)

Published on 25 Mar 2026 - 3:20

69

Views

How to solve an equation of functions...?

Published on 08 Apr 2026 - 19:58

235

Views

Question about prime gap records

Published on 09 Apr 2026 - 4:29

83

Views

Why does there exist $x$ such that $x^4 = 1$ in $\mathbb{Z}/8\mathbb{Z}$?

Published on 21 Feb 2018 - 20:31

360

Views

A partition in three classes of the set of all prime numbers?

Published on 11 Apr 2026 - 18:49

86

Views

Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$

Published on 11 Apr 2026 - 12:56

53

Views

How to find GCF of 2 polynomials?

Published on 08 Apr 2026 - 1:50

423

Views

Lattice vectors and modular arithmetic

Published on 09 Apr 2026 - 1:33

107

Views

Prove $10^{n+1} - 9^{n+1} = 9^n + 9^{n-1}10 + 9^{n-2}10^2 + ... + 10^n$

Published on 22 Feb 2018 - 5:54

41

Views

More proofs involving greatest common divisors

Published on 12 Apr 2026 - 13:04

334

Views

Given $(a,m)=(b,m)=1$, show : $(ab,m)\mid ab,mb \implies (ab,m)\mid b$

Published on 22 Feb 2018 - 10:17

285

Views

Euler function and sums

Published on 12 Apr 2026 - 8:38

90

Views

Finding the smallest integer solution to $N=x_1^2+x_2^2-y^3$ for any given $N$, with $x_1>0$, $x_2>0$ and $y>0$

Published on 25 Mar 2026 - 9:40

66

Views

finding the cardinality

Published on 10 Apr 2026 - 16:28

List Question

When is the sum of coprime pairs coprime?

Prove by Induction if x is an odd integer, then for every integer n ≥ 0, $x^{2^n}$ ≡ 1 (mod $2^{n + 1}$)

How to solve an equation of functions...?

Question about prime gap records

Why does there exist $x$ such that $x^4 = 1$ in $\mathbb{Z}/8\mathbb{Z}$?

A partition in three classes of the set of all prime numbers?

Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$

How to find GCF of 2 polynomials?

Lattice vectors and modular arithmetic

Prove $10^{n+1} - 9^{n+1} = 9^n + 9^{n-1}10 + 9^{n-2}10^2 + ... + 10^n$

More proofs involving greatest common divisors

Given $(a,m)=(b,m)=1$, show : $(ab,m)\mid ab,mb \implies (ab,m)\mid b$

Euler function and sums

Finding the smallest integer solution to $N=x_1^2+x_2^2-y^3$ for any given $N$, with $x_1>0$, $x_2>0$ and $y>0$

finding the cardinality

Trending Questions

Popular # Hahtags

Popular Questions