List questions from congruences

Published on 30 Mar 2026 - 23:57

69

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Congruences doubt!

Published on 07 Oct 2013 - 14:09

51

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the division $14^{256}$ by $17$

Published on 07 Oct 2013 - 14:25

134

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What the rest of the division $1^6+2^6+...+100^6$ by $7$?

Published on 07 Oct 2013 - 19:10

2.6k

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How to solve congruence $x^y = a \pmod p$?

Published on 07 Oct 2013 - 20:44

1.6k

Views

How to prove algorithm for solving a square congruence when p ≡ 5 (mod 8)

Published on 07 Oct 2013 - 21:37

1k

Views

Find the smallest natural number that leaves residues $5,4,3,$ and $2$ when divided respectively by the numbers $6,5,4,$ and $3$

Published on 09 Oct 2013 - 11:11

82

Views

Squaring any odd number $k-2$ times produces $1$ modulo $2^k$

Published on 09 Oct 2013 - 13:53

854

Views

$3x\equiv7\pmod{11}, 5y\equiv9\pmod{11}$. Find the number which $x+y\pmod{11}$ is congruent to.

Published on 10 Oct 2013 - 6:54

1.6k

Views

Square root of 5 in modulo prime field

Published on 12 Oct 2013 - 9:06

6.7k

Views

How to prove that a function is well defined?

Published on 14 Oct 2013 - 2:43

1.7k

Views

Find the units digit in the number $7^{9999}$.

Published on 14 Oct 2013 - 16:11

118

Views

How to solve $9^{89}\equiv x\mod{1000}$ for $0\leq x\leq 999$ without calculating $9^{89}$

Published on 14 Oct 2013 - 16:53

6.8k

Views

Fermat's Little Theorem and congruences.

Published on 20 Oct 2013 - 0:15

206

Views

What is the order of operations for testing congruency mod(x)

Published on 22 Oct 2013 - 11:49

List Question

System of 3 congruences (linear and non-linear)

Congruences doubt!

the division $14^{256}$ by $17$

What the rest of the division $1^6+2^6+...+100^6$ by $7$?

How to solve congruence $x^y = a \pmod p$?

How to prove algorithm for solving a square congruence when p ≡ 5 (mod 8)

Find the smallest natural number that leaves residues $5,4,3,$ and $2$ when divided respectively by the numbers $6,5,4,$ and $3$

Squaring any odd number $k-2$ times produces $1$ modulo $2^k$

$3x\equiv7\pmod{11}, 5y\equiv9\pmod{11}$. Find the number which $x+y\pmod{11}$ is congruent to.

Square root of 5 in modulo prime field

How to prove that a function is well defined?

Find the units digit in the number $7^{9999}$.

How to solve $9^{89}\equiv x\mod{1000}$ for $0\leq x\leq 999$ without calculating $9^{89}$

Fermat's Little Theorem and congruences.

What is the order of operations for testing congruency mod(x)

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