List questions from modular-arithmetic

33

Views

For $a\in \mathbb{Z}$, $x^2 = a$ has a solution $x\in \mathbb{Z}$ IFF $x^2 \equiv a \pmod n$ for all $n \in \mathbb{Z}$

Published on 28 Mar 2018 - 15:23

391

Views

Solve $x^2 \equiv 1 \pmod{30}$ and generalize.

Published on 25 Mar 2026 - 22:10

1.3k

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Multiplicative group of integers modulo $p$

Published on 28 Mar 2018 - 22:56

37

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moebius and powers. how do they behave?

Published on 23 Mar 2026 - 10:15

1.7k

Views

What's a general algorithm/technique to find the last digit of a nested exponential?

Published on 09 Mar 2026 - 8:12

53

Views

Finding solutions of $x^{201}+x^{21}+x+1 \equiv 0 \mod 5$?

Published on 25 Mar 2026 - 7:45

970

Views

Last three digits of $6^{2002}$

Published on 30 Mar 2018 - 4:39

266

Views

How many $n$-digit automorphic (circular) numbers are there?

Published on 25 Mar 2026 - 7:42

258

Views

Finding Solutions to a Simultaneous Linear Equation

Published on 30 Mar 2018 - 20:26

815

Views

Solving x^4 - 1 ≡ 0 MOD (55)

Published on 25 Mar 2026 - 9:23

205

Views

Simultaneous Linear Congruences With Two Variables

Published on 23 Mar 2026 - 6:54

724

Views

If last two digits of $ 7^{7^{7}}=k$, find $k-38$?

Published on 31 Mar 2018 - 2:53

162

Views

Modular arithmetic notation - meaning of multiple arguments - $y \pmod{a,b}$

Published on 25 Mar 2026 - 9:23

506

Views

Question regarding quadratic residue

Published on 26 Mar 2026 - 1:00

4.8k

Views

Find all solutions to the congruence $x^3\equiv 1 {\pmod{77}}$

Published on 03 Apr 2018 - 0:02

List Question

For $a\in \mathbb{Z}$, $x^2 = a$ has a solution $x\in \mathbb{Z}$ IFF $x^2 \equiv a \pmod n$ for all $n \in \mathbb{Z}$

Solve $x^2 \equiv 1 \pmod{30}$ and generalize.

Multiplicative group of integers modulo $p$

moebius and powers. how do they behave?

What's a general algorithm/technique to find the last digit of a nested exponential?

Finding solutions of $x^{201}+x^{21}+x+1 \equiv 0 \mod 5$?

Last three digits of $6^{2002}$

How many $n$-digit automorphic (circular) numbers are there?

Finding Solutions to a Simultaneous Linear Equation

Solving x^4 - 1 ≡ 0 MOD (55)

Simultaneous Linear Congruences With Two Variables

If last two digits of $ 7^{7^{7}}=k$, find $k-38$?

Modular arithmetic notation - meaning of multiple arguments - $y \pmod{a,b}$

Question regarding quadratic residue

Find all solutions to the congruence $x^3\equiv 1 {\pmod{77}}$

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