List questions from congruences

Published on 20 Feb 2017 - 21:39

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finding the least nonnegative residue

Published on 25 Mar 2026 - 9:23

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If $n$ is a positive integer prove that $1+2+3+\cdots+(n-1)$ is congruent to $0\mod n$ if and only if $n$ is odd

Published on 22 Feb 2017 - 3:46

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Find an integer a>2 such that

Published on 22 Feb 2017 - 22:44

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$5^{2^{n-3}}\not \equiv -1 \mod 2^n$ for any $n\geq 3$

Published on 23 Feb 2017 - 5:15

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What does this congruent proof actually say?

Published on 25 Feb 2017 - 12:46

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How do I show if a relation set R is transitive?

Published on 25 Feb 2017 - 14:04

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Find a solution or show that there is none: $x^2 \mod 7 = 3 \; (x\in \mathbb{Z})$

Published on 25 Feb 2017 - 18:28

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Finding two primes $p,q$ such that $(p^2 + 1)(q^2 + 1) = n^2 + 1$

Published on 26 Feb 2017 - 18:55

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Show that $\frac{n}{p}\equiv \binom{n}{p}\mod n$

Published on 27 Feb 2017 - 9:13

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Modulo reduction

Published on 27 Feb 2017 - 19:29

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Modular Congruence Proof!

Published on 27 Feb 2017 - 22:33

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Modular congruence problem with boundary on unknown variable

Published on 02 Mar 2017 - 3:55

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Solving a congruence modulo $p^{2}$.

Published on 03 Mar 2017 - 21:44

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Find a positive integer $a$ such that $4 \mid a$ and $9 \mid a+1$ and $25 \mid a+2$

Published on 04 Mar 2017 - 6:19

List Question

Rounding a number to the nearest n-th place with offset

finding the least nonnegative residue

If $n$ is a positive integer prove that $1+2+3+\cdots+(n-1)$ is congruent to $0\mod n$ if and only if $n$ is odd

Find an integer a>2 such that

$5^{2^{n-3}}\not \equiv -1 \mod 2^n$ for any $n\geq 3$

What does this congruent proof actually say?

How do I show if a relation set R is transitive?

Find a solution or show that there is none: $x^2 \mod 7 = 3 \; (x\in \mathbb{Z})$

Finding two primes $p,q$ such that $(p^2 + 1)(q^2 + 1) = n^2 + 1$

Show that $\frac{n}{p}\equiv \binom{n}{p}\mod n$

Modulo reduction

Modular Congruence Proof!

Modular congruence problem with boundary on unknown variable

Solving a congruence modulo $p^{2}$.

Find a positive integer $a$ such that $4 \mid a$ and $9 \mid a+1$ and $25 \mid a+2$

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