List questions from elementary-number-theory

Published on 16 Apr 2026 - 11:40

45

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Let $K$ a operator of continued fraction.Is this true?

Published on 11 Apr 2026 - 20:46

158

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In a mathematical induction, can you prove the "n'th case implies n+1'th case" step by contrapositive?

Published on 14 Apr 2026 - 2:20

263

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How were the factors of $\frac{521^{521}-1}{520}$ found?

Published on 13 Apr 2026 - 12:52

344

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$\frac{x^2+y^2}{x-y}|1995$. Find positive integer $x,y$

Published on 16 Apr 2026 - 17:31

624

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Sum of cubes of two rational but not of two integers

Published on 14 Apr 2026 - 11:48

155

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Number of pairs $(a,b)$ such that $a+b<n$ and such that $\gcd(a,b,n)=1$

Published on 17 Apr 2026 - 15:52

4.6k

Views

Given two blank rulers, measure any length

Published on 12 Apr 2026 - 16:13

146

Views

Diophantine with non-zero solutions

Published on 10 Apr 2026 - 10:31

147

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Number Theory with 2 primes

Published on 13 Apr 2026 - 1:50

67

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Doubts in finding multiplicative inverse for integers $\mod n$.

Published on 10 Apr 2026 - 16:11

60

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Proof of $5|p^2 \implies 5|p$ for all $p \in \mathbb{N}$

Published on 15 Apr 2026 - 20:10

54

Views

Amicable pairs of numbers and their product

Published on 10 Apr 2026 - 23:10

44

Views

Let $a, b, c \in Z$ such that $\gcd(a,c) = d$ for some integer $d$. Prove if $a\mid bc$ then $a\mid bd$.

Published on 15 Apr 2026 - 8:46

172

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Using congruences to find the last two digits of $808^2 + 3^{305}\times11^{151}$

Published on 14 Apr 2026 - 12:14

List Question

On the equivalence of ideals coming from equivalence binary quadratic forms

Let $K$ a operator of continued fraction.Is this true?

In a mathematical induction, can you prove the "n'th case implies n+1'th case" step by contrapositive?

How were the factors of $\frac{521^{521}-1}{520}$ found?

$\frac{x^2+y^2}{x-y}|1995$. Find positive integer $x,y$

Sum of cubes of two rational but not of two integers

Number of pairs $(a,b)$ such that $a+b<n$ and such that $\gcd(a,b,n)=1$

Given two blank rulers, measure any length

Diophantine with non-zero solutions

Number Theory with 2 primes

Doubts in finding multiplicative inverse for integers $\mod n$.

Proof of $5|p^2 \implies 5|p$ for all $p \in \mathbb{N}$

Amicable pairs of numbers and their product

Let $a, b, c \in Z$ such that $\gcd(a,c) = d$ for some integer $d$. Prove if $a\mid bc$ then $a\mid bd$.

Using congruences to find the last two digits of $808^2 + 3^{305}\times11^{151}$

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