List questions from congruences

Published on 31 May 2016 - 5:02

61

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Proof for any natural n that: $8|5^n+2*3^{n-1}+1$

Published on 31 May 2016 - 6:28

66

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Find all $(a,b) \in \Bbb Z^2$ such that $b \equiv 2a \pmod 5$ and $28a+10b=26$

Published on 31 May 2016 - 17:05

405

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Solving $n^{th}$ power residue of a congruence

Published on 29 Mar 2026 - 16:30

2.4k

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Fifth last digit of a huge number

Published on 27 Mar 2026 - 9:48

106

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RSA cryptography

Published on 02 Jun 2016 - 2:42

173

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Solve $ord_x(2) = 20$

Published on 02 Jun 2016 - 14:49

38

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Is it true that if $ -p \equiv -1 \pmod q $, then $p \equiv 1 \pmod q $?

Published on 03 Jun 2016 - 10:40

68

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Congruences and Legendre

Published on 26 Mar 2026 - 8:14

86

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What is the Least Prime Factor of $3^{3241} + 8^{2433}$

Published on 03 Jun 2016 - 23:52

1.2k

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Computing difference in modular arithmetic.

Published on 04 Jun 2016 - 13:44

59

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Prove: If $ p|2^q -1$, p,q primes numbers then p is congruent to 1 modulo q

Published on 05 Jun 2016 - 10:47

128

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Prove that $2^d$ is not congruent to $1 \mod p^2$

Published on 05 Jun 2016 - 18:46

809

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-3 is quadratic residue if and only if $p \equiv 1,7 \pmod {12}$

Published on 28 Mar 2026 - 22:55

1.8k

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$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

Published on 25 Mar 2026 - 17:21

List Question

Is least prime factor of $n,$ $LPF(n)$ a solution to any congruence?

Proof for any natural n that: $8|5^n+2*3^{n-1}+1$

Find all $(a,b) \in \Bbb Z^2$ such that $b \equiv 2a \pmod 5$ and $28a+10b=26$

Solving $n^{th}$ power residue of a congruence

Fifth last digit of a huge number

RSA cryptography

Solve $ord_x(2) = 20$

Is it true that if $ -p \equiv -1 \pmod q $, then $p \equiv 1 \pmod q $?

Congruences and Legendre

What is the Least Prime Factor of $3^{3241} + 8^{2433}$

Computing difference in modular arithmetic.

Prove: If $ p|2^q -1$, p,q primes numbers then p is congruent to 1 modulo q

Prove that $2^d$ is not congruent to $1 \mod p^2$

-3 is quadratic residue if and only if $p \equiv 1,7 \pmod {12}$

$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

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