List questions from congruences

Published on 13 Nov 2013 - 13:08

94

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Let $n \geqslant 3$. Show that the equation $x^2 \equiv 1 \pmod{2^n}$ has exactly $4$ solutions modulo $2^n$

Published on 13 Nov 2013 - 15:19

80

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Congruence-What is remainder when $a^2+2b$ is divided 3?

Published on 13 Nov 2013 - 20:22

490

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To compute $5^{15} \pmod 7$ how should I apply Corollary of the Lagrange theorem?

Published on 14 Nov 2013 - 8:35

123

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Congruence Inconsistency

Published on 14 Nov 2013 - 21:04

52

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Question about counting within a congruence

Published on 14 Nov 2013 - 21:18

695

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Show that when $a$ is a quadratic nonresidue, $a-1$ is a quadratic residue.

Published on 29 Mar 2026 - 5:43

163

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How do I solve the linear conguence $2x \equiv 5 \pmod 9$

Published on 19 Nov 2013 - 3:05

199

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In Wilson's Theorem Why can we always split integers into mutually inverse pairs?

Published on 19 Nov 2013 - 14:05

81

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why $x^3=11^3$ mod $5083$ has only one solution?

Published on 20 Nov 2013 - 9:08

167

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Showing that an integer is a strong pseudoprime

Published on 21 Nov 2013 - 6:01

102

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Proving congruent statement for a prime number $p>10$

Published on 24 Nov 2013 - 12:21

123

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Phi-Function Congruence

Published on 30 Mar 2026 - 5:30

2.6k

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How do you solve linear congruences with three variables.

Published on 25 Nov 2013 - 16:45

128

Views

Find the rest of the division when $23^{84292}$ is divided by $7$, is the procedure and the result correct?

Published on 26 Nov 2013 - 17:30

List Question

solving a congruence modulo $1002$

Let $n \geqslant 3$. Show that the equation $x^2 \equiv 1 \pmod{2^n}$ has exactly $4$ solutions modulo $2^n$

Congruence-What is remainder when $a^2+2b$ is divided 3?

To compute $5^{15} \pmod 7$ how should I apply Corollary of the Lagrange theorem?

Congruence Inconsistency

Question about counting within a congruence

Show that when $a$ is a quadratic nonresidue, $a-1$ is a quadratic residue.

How do I solve the linear conguence $2x \equiv 5 \pmod 9$

In Wilson's Theorem Why can we always split integers into mutually inverse pairs?

why $x^3=11^3$ mod $5083$ has only one solution?

Showing that an integer is a strong pseudoprime

Proving congruent statement for a prime number $p>10$

Phi-Function Congruence

How do you solve linear congruences with three variables.

Find the rest of the division when $23^{84292}$ is divided by $7$, is the procedure and the result correct?

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