List questions from congruences

Published on 19 Jun 2016 - 12:58

56

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Is there an identity related to $\binom{n-j-1}{k}+\binom{k+j}{k}\pmod{n}$?

Published on 22 Jun 2016 - 5:09

209

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Find $\overline{0},\overline{1},\overline{10}$ and $\overline{16}$ in $\mathbb{Z}_5$

Published on 23 Jun 2016 - 0:03

111

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Show that if $a\equiv b \pmod m$, then $\gcd(a,m)=\gcd(b,m)$

Published on 25 Jun 2016 - 8:20

66

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Confusion in reduced residue systems

Published on 25 Mar 2026 - 10:52

39

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Question about linear congruences

Published on 29 Jun 2016 - 7:39

122

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Number Theory Lemma About Linear Congruence (Explanation Needed)

Published on 29 Jun 2016 - 19:07

114

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Primitive 18-th root of unity problem involving congruences.

Published on 29 Mar 2026 - 18:17

135

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RSA encryption theory - modulo theory

Published on 22 May 2013 - 20:30

256

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How can prove this $\binom{n}{p}\equiv \left\lfloor\frac{n}{p}\right\rfloor \pmod {p^2}$

Published on 06 Jul 2013 - 10:28

378

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Problem related to Chinese Remainder Theorem

Published on 12 Jul 2013 - 4:27

224

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Is it true that if $p\neq5$ is a prime number then $1^p+2^{p-1}+\cdots+(p-1)^2+p^1\not\equiv0\pmod p$?

Published on 29 Jul 2013 - 4:50

59.7k

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find a solution of 9x = 24 (mod 21)

Published on 31 Jul 2013 - 20:17

687

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Solutions of non-linear congruence equation

Published on 04 Aug 2013 - 18:10

307

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Determine whether every characteristic factor of the nth Fibonacci number is $\equiv \pm 1 \mod n$

Published on 06 Aug 2013 - 8:36

List Question

Is this possible to solve through algebra?

Is there an identity related to $\binom{n-j-1}{k}+\binom{k+j}{k}\pmod{n}$?

Find $\overline{0},\overline{1},\overline{10}$ and $\overline{16}$ in $\mathbb{Z}_5$

Show that if $a\equiv b \pmod m$, then $\gcd(a,m)=\gcd(b,m)$

Confusion in reduced residue systems

Question about linear congruences

Number Theory Lemma About Linear Congruence (Explanation Needed)

Primitive 18-th root of unity problem involving congruences.

RSA encryption theory - modulo theory

How can prove this $\binom{n}{p}\equiv \left\lfloor\frac{n}{p}\right\rfloor \pmod {p^2}$

Problem related to Chinese Remainder Theorem

Is it true that if $p\neq5$ is a prime number then $1^p+2^{p-1}+\cdots+(p-1)^2+p^1\not\equiv0\pmod p$?

find a solution of 9x = 24 (mod 21)

Solutions of non-linear congruence equation

Determine whether every characteristic factor of the nth Fibonacci number is $\equiv \pm 1 \mod n$

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