List questions from elementary-number-theory

Published on 25 Mar 2026 - 3:02

1.2k

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Span of Integer Linear Combinations

Published on 06 Apr 2026 - 3:58

110

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Please vet : Special case from proof of $\gcd(a,b) \mid a$

Published on 25 Mar 2026 - 3:02

77

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Given an integer $a$ how to find all integers $b$ such that $\sqrt{a^2+b^2}=k$ for some integer $k$?

Published on 13 Mar 2026 - 4:19

209

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Proving the linear diophantine equation has at least one positive solution

Published on 14 Mar 2026 - 16:02

46

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How do I show these two number theory relationships are the same?

Published on 24 Mar 2026 - 23:54

64

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For what value(s) of $a$ does the inequality $\prod_{i=0}^{a}(n-i) \geq a^{a+1}$ hold?

Published on 09 Apr 2026 - 0:33

68

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Elementary Elliptic Curves

Published on 09 Apr 2026 - 0:25

104

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Quick calculation of modulo with large exponent

Published on 24 Mar 2026 - 23:53

137

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Lifting problem like Hensel's Lemma

Published on 14 Mar 2026 - 13:17

376

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How to solve the pair of equations $4a-11b+12c=22$ and $a+5b-4c=17$ over the integers?

Published on 02 Apr 2026 - 4:09

2.1k

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Specific steps in applying the Chinese Remainder Theorem to solve modular problem splitting modulus

Published on 24 Mar 2026 - 23:54

309

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Why does the division algo imply any integer is of the form 3k, 3k+1, 3k+2?

Published on 24 Mar 2026 - 22:08

113

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How do I show that $p\mid {p\choose k}$ if $gcd(p,k)=1$?

Published on 13 Mar 2026 - 19:25

472

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A congruence involving Chebyshev polynomials

Published on 09 Apr 2026 - 0:04

List Question

What's the pattern to $\frac12(m+1)(2n+3m)$ for positive $n$, $m$?

Span of Integer Linear Combinations

Please vet : Special case from proof of $\gcd(a,b) \mid a$

Given an integer $a$ how to find all integers $b$ such that $\sqrt{a^2+b^2}=k$ for some integer $k$?

Proving the linear diophantine equation has at least one positive solution

How do I show these two number theory relationships are the same?

For what value(s) of $a$ does the inequality $\prod_{i=0}^{a}(n-i) \geq a^{a+1}$ hold?

Elementary Elliptic Curves

Quick calculation of modulo with large exponent

Lifting problem like Hensel's Lemma

How to solve the pair of equations $4a-11b+12c=22$ and $a+5b-4c=17$ over the integers?

Specific steps in applying the Chinese Remainder Theorem to solve modular problem splitting modulus

Why does the division algo imply any integer is of the form 3k, 3k+1, 3k+2?

How do I show that $p\mid {p\choose k}$ if $gcd(p,k)=1$?

A congruence involving Chebyshev polynomials

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