List questions from congruences

Published on 16 Jan 2017 - 18:37

143

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Find the remainder when $140^{67}+153^{51}$ is divided by $17$

Published on 17 Jan 2017 - 5:57

550

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Last two digits of $2^{100}$

Published on 17 Jan 2017 - 12:10

52

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Hint to prove that the integer $c$ is a power of $q$?

Published on 17 Jan 2017 - 23:46

41

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What does $x \equiv_m y$ mean?

Published on 19 Jan 2017 - 9:07

673

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Let $n>1$ be an odd integer . Show that $n\nmid 3^n+1$

Published on 20 Jan 2017 - 3:39

210

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Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$

Published on 20 Jan 2017 - 15:15

47

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Congruence modulo $n$ - Solving equations when having a big $n$

Published on 22 Jan 2017 - 17:15

54

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Proving $I=(x^3-x^2+x+5,x^3+x)$ is a proper ideal of $\mathbb{Z}_5[x]$

Published on 24 Jan 2017 - 1:11

150

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Find last two digits of $4^{4^{4^{...}}}$ - overall 2013 of 4 (including first)

Published on 24 Jan 2017 - 23:09

60

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Find all such pairs a,b,c such that $a\equiv b \pmod c$, $b\equiv c \pmod a$,$c\equiv a \pmod b$

Published on 26 Jan 2017 - 7:30

540

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Prove that the system of congruences has a solution

Published on 26 Jan 2017 - 15:39

27

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How do I proceed with this congruence?

Published on 27 Jan 2017 - 11:37

268

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Find all $n\in \mathbb{Z}^+ : 7|5^{6n}+5^n+2$

Published on 28 Jan 2017 - 19:39

30

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Noob question about an exponential congruence

Published on 25 Mar 2026 - 12:23

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How to solve this linear congruence $46x\equiv 6\pmod {202}$

Find the remainder when $140^{67}+153^{51}$ is divided by $17$

Last two digits of $2^{100}$

Hint to prove that the integer $c$ is a power of $q$?

What does $x \equiv_m y$ mean?

Let $n>1$ be an odd integer . Show that $n\nmid 3^n+1$

Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$

Congruence modulo $n$ - Solving equations when having a big $n$

Proving $I=(x^3-x^2+x+5,x^3+x)$ is a proper ideal of $\mathbb{Z}_5[x]$

Find last two digits of $4^{4^{4^{...}}}$ - overall 2013 of 4 (including first)

Find all such pairs a,b,c such that $a\equiv b \pmod c$, $b\equiv c \pmod a$,$c\equiv a \pmod b$

Prove that the system of congruences has a solution

How do I proceed with this congruence?

Find all $n\in \mathbb{Z}^+ : 7|5^{6n}+5^n+2$

Noob question about an exponential congruence

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