List questions from congruences

Published on 18 Apr 2017 - 18:53

101

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Find the smallest natural $n$ satisfying three congruences

Published on 19 Apr 2017 - 16:46

153

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Find the last three digits of $383^{101}$

Published on 25 Mar 2026 - 17:22

65

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Is the equation $x^3-y^3\equiv k \mod n$ always solveable, when neither $7$ nor $9$ divides $n$?

Published on 20 Apr 2017 - 9:55

380

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Calculating congruence with high exponent

Published on 20 Apr 2017 - 17:21

205

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How to solve $2^{33} \mod 4725$?

Published on 31 Mar 2026 - 5:59

525

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For all positive integers, n, if $3^n \equiv 1 \mod 8$, then n is even.

Published on 23 Apr 2017 - 12:35

63

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Congruence Proof Graham

Published on 24 Apr 2017 - 2:39

50

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Congruence equation.

Published on 24 Apr 2017 - 12:11

7k

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Euclidean algorithm to find inverse modulo

Published on 28 Mar 2026 - 16:44

37

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How do I solve this linear congruence?

Published on 27 Apr 2017 - 2:53

543

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Is my way in solve the linear congruence problem $15x \equiv 31 \pmod{47}$ correct?

Published on 27 Apr 2017 - 3:42

140

Views

The relation $a\theta_n^Sb$ iff $(\forall x\in S^n)\, xa=xb$.

Published on 28 Mar 2026 - 9:33

78

Views

Minimum of $5^a x$ modulo $ 2^b$ for $1 \leq x < 2^c$

Published on 27 Apr 2017 - 20:07

485

Views

For how many numbers $X^2 \equiv X \mod 10^n$?

Published on 01 Apr 2026 - 22:34

List Question

How to determine all possible values of $x$ to find congruency

Find the smallest natural $n$ satisfying three congruences

Find the last three digits of $383^{101}$

Is the equation $x^3-y^3\equiv k \mod n$ always solveable, when neither $7$ nor $9$ divides $n$?

Calculating congruence with high exponent

How to solve $2^{33} \mod 4725$?

For all positive integers, n, if $3^n \equiv 1 \mod 8$, then n is even.

Congruence Proof Graham

Congruence equation.

Euclidean algorithm to find inverse modulo

How do I solve this linear congruence?

Is my way in solve the linear congruence problem $15x \equiv 31 \pmod{47}$ correct?

The relation $a\theta_n^Sb$ iff $(\forall x\in S^n)\, xa=xb$.

Minimum of $5^a x$ modulo $ 2^b$ for $1 \leq x < 2^c$

For how many numbers $X^2 \equiv X \mod 10^n$?

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