List questions from modular-arithmetic

Published on 25 Mar 2026 - 18:24

107

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Solving $a^2+b^2\equiv 0$ mod $c$ for distinct integers $a,b,c$ constrained between two consecutive squares

Published on 30 Mar 2026 - 23:14

2.7k

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Find coordinate $y$ of an elliptic curve point

Published on 25 Mar 2026 - 16:02

80

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Show that $\operatorname{ord}((2 \bmod 61)^n)=60 \iff\gcd(60,n)=1$

Published on 15 Jun 2014 - 13:04

45

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When will function output have a specific decimal component

Published on 16 Jun 2014 - 0:28

867

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Fundamental theorem of algebra in modular arithmetic

Published on 16 Jun 2014 - 11:01

193

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For every integer, some multiple of it is of the form $99 \ldots 900 \ldots 00$

Published on 30 Mar 2026 - 23:12

67

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Polynomial Diophantine Equations

Published on 16 Jun 2014 - 14:36

205

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What is the remainder after dividing $(177 + 10^{15})^{166}$ by $1003 = 17 \cdot 59$

Published on 26 Mar 2026 - 2:46

116

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How Many of a Given Weekday Fall in a Month

Published on 19 Jun 2014 - 18:50

240

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$ 7\mid x \text{ and } 7\mid y \Longleftrightarrow 7\mid x^2+y^2 $

Published on 26 Mar 2026 - 23:09

4.5k

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How to find the missing number?

Published on 21 Jun 2014 - 17:22

62

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Definition for a distance function over a residue class ring

Published on 06 Apr 2026 - 3:24

1.1k

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Show $\,1897\mid 2903^n - 803^n - 464^n + 261^n\,$

Published on 03 Apr 2026 - 16:48

123

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Correct reasoning when proving the multiplication property in modular arithmetic?

Published on 23 Jun 2014 - 7:28

List Question

if $b^k$ is a primitive root, then $b$ is a primitive root

Solving $a^2+b^2\equiv 0$ mod $c$ for distinct integers $a,b,c$ constrained between two consecutive squares

Find coordinate $y$ of an elliptic curve point

Show that $\operatorname{ord}((2 \bmod 61)^n)=60 \iff\gcd(60,n)=1$

When will function output have a specific decimal component

Fundamental theorem of algebra in modular arithmetic

For every integer, some multiple of it is of the form $99 \ldots 900 \ldots 00$

Polynomial Diophantine Equations

What is the remainder after dividing $(177 + 10^{15})^{166}$ by $1003 = 17 \cdot 59$

How Many of a Given Weekday Fall in a Month

$ 7\mid x \text{ and } 7\mid y \Longleftrightarrow 7\mid x^2+y^2 $

How to find the missing number?

Definition for a distance function over a residue class ring

Show $\,1897\mid 2903^n - 803^n - 464^n + 261^n\,$

Correct reasoning when proving the multiplication property in modular arithmetic?

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