List questions from congruences

Published on 25 Feb 2015 - 23:34

282

Views

Quadratic residue modulo odd power of $2$

Published on 26 Feb 2015 - 7:42

1.7k

Views

Find an integer a which satisfies a ≡ 5 (mod 8) and a ≡ 3 (mod 7)

Published on 26 Feb 2015 - 9:30

430

Views

Another Chinese Remainder Theorem Problem

Published on 27 Feb 2015 - 3:10

59

Views

Proof with congruence and primes

Published on 28 Feb 2015 - 21:59

55

Views

Divisibility of three polynomial terms

Published on 28 Feb 2015 - 22:23

74

Views

$g^i\equiv g^j (mod p)$ implies $g^{i-j}\equiv 1 (mod p)$

Published on 01 Mar 2015 - 13:24

2.5k

Views

Prove that there is no perfect square that is congruent to 2 mod 10 and 3 mod 10.

Published on 03 Mar 2015 - 1:47

5.6k

Views

Prove ca ≡ cb (mod m) if and only if a ≡ b mod (m/gcd(c, m) )

Published on 04 Mar 2015 - 3:26

303

Views

Find all solutions to $x^{10} = 1 \pmod {377}$

Published on 04 Mar 2015 - 4:01

615

Views

Solving a system of congruences using the Chinese Remainder Theorem

Published on 04 Mar 2015 - 4:10

4.5k

Views

What is the equivalence class of this equivalence relation?

Published on 04 Mar 2015 - 6:36

410

Views

Prove that if $9\mid(x^3 + y^3 + z^3)$ then $3\mid xyz$ for integers $x, y, z$

Published on 04 Mar 2015 - 7:34

91

Views

Show that $1^m+2^m+\cdots+(p^2)^m\equiv-p\pmod{p^2}$ when $p-1\nmid m$

Published on 04 Mar 2015 - 16:01

45

Views

Simple Modular equation

Published on 04 Mar 2015 - 18:52

List Question

Can somebody fill in the skipped step so I can understand. Linear congruence equation.

Quadratic residue modulo odd power of $2$

Find an integer a which satisfies a ≡ 5 (mod 8) and a ≡ 3 (mod 7)

Another Chinese Remainder Theorem Problem

Proof with congruence and primes

Divisibility of three polynomial terms

$g^i\equiv g^j (mod p)$ implies $g^{i-j}\equiv 1 (mod p)$

Prove that there is no perfect square that is congruent to 2 mod 10 and 3 mod 10.

Prove ca ≡ cb (mod m) if and only if a ≡ b mod (m/gcd(c, m) )

Find all solutions to $x^{10} = 1 \pmod {377}$

Solving a system of congruences using the Chinese Remainder Theorem

What is the equivalence class of this equivalence relation?

Prove that if $9\mid(x^3 + y^3 + z^3)$ then $3\mid xyz$ for integers $x, y, z$

Show that $1^m+2^m+\cdots+(p^2)^m\equiv-p\pmod{p^2}$ when $p-1\nmid m$

Simple Modular equation

Trending Questions

Popular # Hahtags

Popular Questions