List questions from congruences

Published on 25 Mar 2026 - 17:37

131

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Can you easily simplify large exponents without Fermat's Little Theorem?

Published on 08 Oct 2014 - 19:47

354

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Euler's Theorem when $m$ is square-free

Published on 09 Oct 2014 - 21:17

1.4k

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For any integer $a,b$ let $N_{a,b}$ denote the number of positive integer $x<1000$ satisfying $x= a( mod\;27)$ and $x=b(mod\;37)$. Then

Published on 10 Oct 2014 - 11:24

99

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Find the remainder of $(p-2)!$ module $p$, where $p$ is a prime $\geq 3$

Published on 11 Oct 2014 - 5:28

2k

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Find the least positive residue of $5^{16} \bmod 17$

Published on 11 Oct 2014 - 21:38

240

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Prove that $r(2^{55555})$ divisible by $5^5$

Published on 11 Oct 2014 - 22:00

67

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Can't Solve this Indices Question

Published on 14 Oct 2014 - 14:14

29

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Solving a congruence -- where to start?

Published on 17 Oct 2014 - 0:41

590

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About primitive roots and square free numbers.

Published on 25 Mar 2026 - 19:51

124

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Verify proof that ${p \choose r} ≡ 0 \pmod p$

Published on 19 Oct 2014 - 17:17

3.5k

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How to prove that $8^{18} - 1$ is divisible by $7$

Published on 19 Oct 2014 - 17:39

46

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solve this congruence please.

Published on 22 Oct 2014 - 11:57

92

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What does $[5^{2000}]$ equal to in $\mathbb{Z}_4$?

Published on 24 Oct 2014 - 1:49

230

Views

General way to solve equations of congruent classes?

Published on 24 Oct 2014 - 2:45

List Question

The congruence $\{(a^m, a^{m+r})\}^\#$ on $a^+$.

Can you easily simplify large exponents without Fermat's Little Theorem?

Euler's Theorem when $m$ is square-free

For any integer $a,b$ let $N_{a,b}$ denote the number of positive integer $x<1000$ satisfying $x= a( mod\;27)$ and $x=b(mod\;37)$. Then

Find the remainder of $(p-2)!$ module $p$, where $p$ is a prime $\geq 3$

Find the least positive residue of $5^{16} \bmod 17$

Prove that $r(2^{55555})$ divisible by $5^5$

Can't Solve this Indices Question

Solving a congruence -- where to start?

About primitive roots and square free numbers.

Verify proof that ${p \choose r} ≡ 0 \pmod p$

How to prove that $8^{18} - 1$ is divisible by $7$

solve this congruence please.

What does $[5^{2000}]$ equal to in $\mathbb{Z}_4$?

General way to solve equations of congruent classes?

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