List questions from congruences

Published on 18 Oct 2015 - 12:37

110

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Remainder of $7^{7^{7}}$ divided by $32$

Published on 19 Oct 2015 - 15:53

42

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Solving quadratic modular equation.

Published on 21 Oct 2015 - 13:55

37

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$hm + qn = 0$ (mod $mn$) implies $h,q=0$

Published on 21 Oct 2015 - 16:24

903

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Showing a statement $ax \equiv bx \pmod n$ where $x \neq 0$, then $a \equiv b \pmod n$

Published on 21 Oct 2015 - 17:04

36

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What is $2^7 + 3^8 \bmod 11$?

Published on 23 Oct 2015 - 15:47

367

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Proving that no integer has multiplicative order 40 (mod 100)

Published on 24 Oct 2015 - 22:28

260

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What is the number of solution to $x^2\equiv 1\pmod{p^k}$?

Published on 25 Oct 2015 - 17:34

42

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Can you substitute equivalent powers?

Published on 25 Oct 2015 - 21:27

51

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Prove that $a \equiv b \mod{p^j} \iff |a-b|_{p}\leq p^{-j}$

Published on 26 Oct 2015 - 17:51

196

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Prove $ax=ay \pmod {p^2}$ implies $x=y \pmod {p^2}$

Published on 26 Oct 2015 - 22:54

42

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Finding $N$ in the relation $de\equiv 1\bmod N$, given $d$ and $e$

Published on 28 Mar 2026 - 1:12

156

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find the solution of $7x \equiv 29\pmod{31}$

Published on 30 Oct 2015 - 13:02

320

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How to solve this congruence? $x^3 \equiv x \pmod{125}$

Published on 31 Oct 2015 - 9:36

65

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Bases & Congruence's decimal problem

Published on 02 Nov 2015 - 1:45

List Question

If $p\equiv 3\pmod{4}$ is a prime, then $\frac{p-1}{2}! \equiv \pm1 \pmod p$

Remainder of $7^{7^{7}}$ divided by $32$

Solving quadratic modular equation.

$hm + qn = 0$ (mod $mn$) implies $h,q=0$

Showing a statement $ax \equiv bx \pmod n$ where $x \neq 0$, then $a \equiv b \pmod n$

What is $2^7 + 3^8 \bmod 11$?

Proving that no integer has multiplicative order 40 (mod 100)

What is the number of solution to $x^2\equiv 1\pmod{p^k}$?

Can you substitute equivalent powers?

Prove that $a \equiv b \mod{p^j} \iff |a-b|_{p}\leq p^{-j}$

Prove $ax=ay \pmod {p^2}$ implies $x=y \pmod {p^2}$

Finding $N$ in the relation $de\equiv 1\bmod N$, given $d$ and $e$

find the solution of $7x \equiv 29\pmod{31}$

How to solve this congruence? $x^3 \equiv x \pmod{125}$

Bases & Congruence's decimal problem

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