List questions from congruences

26

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Show that the order of the class of $p+1$ in $\left( \mathbb{Z}/p^{\alpha}\mathbb{Z}\right)^{*}$ is $p^{\alpha-1}$

Published on 24 Feb 2014 - 18:27

1.5k

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Calculating powers of large number using Chinese Remainder Theorem

Published on 31 Mar 2026 - 6:00

103

Views

Proving $2^{2^n} \equiv 1(\mod 5)$

Published on 25 Feb 2014 - 16:11

78

Views

Set of all $a\in\mathbb Z$ that are coprime to $b\in\mathbb Z$

Published on 26 Feb 2014 - 9:56

109

Views

Solving $7^{k}\; \equiv\; 11\; \left( \mbox{mod}\; 26 \right)$

Published on 28 Feb 2014 - 4:59

3.7k

Views

Solving mod problems

Published on 03 Mar 2014 - 5:56

952

Views

Transforming a linear congruence equation into an equivalent one

Published on 03 Mar 2014 - 20:21

1.3k

Views

How to quickly solve simple linear congruence equation

Published on 03 Mar 2014 - 21:43

1.7k

Views

Solving linear modular equations

Published on 03 Mar 2014 - 22:41

166

Views

Coprimes and Congruence

Published on 04 Mar 2014 - 20:45

152

Views

Definition of $Z_m$ is $[n] = \{x | x \equiv n \pmod m\}$?

Published on 05 Mar 2014 - 4:06

56

Views

Abstract Algebra/Elementary Number Theory Computation

Published on 05 Mar 2014 - 19:52

1.5k

Views

Fermat's Little Theorem: exponents powers of p

Published on 06 Mar 2014 - 0:23

78

Views

Congruence problem

Published on 06 Mar 2014 - 2:23

48

Views

Elementary number theory on congruences

Published on 06 Mar 2014 - 4:13

List Question

Show that the order of the class of $p+1$ in $\left( \mathbb{Z}/p^{\alpha}\mathbb{Z}\right)^{*}$ is $p^{\alpha-1}$

Calculating powers of large number using Chinese Remainder Theorem

Proving $2^{2^n} \equiv 1(\mod 5)$

Set of all $a\in\mathbb Z$ that are coprime to $b\in\mathbb Z$

Solving $7^{k}\; \equiv\; 11\; \left( \mbox{mod}\; 26 \right)$

Solving mod problems

Transforming a linear congruence equation into an equivalent one

How to quickly solve simple linear congruence equation

Solving linear modular equations

Coprimes and Congruence

Definition of $Z_m$ is $[n] = \{x | x \equiv n \pmod m\}$?

Abstract Algebra/Elementary Number Theory Computation

Fermat's Little Theorem: exponents powers of p

Congruence problem

Elementary number theory on congruences

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