List questions from modular-arithmetic

92

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Is it possible to find such a $n\in \mathbb {Z^{+}}$, for given value of $\lambda;$ $\frac {2^{10+\lambda+n}-2^{10+\lambda}-144759}{3^{10}}<349525$

Published on 23 Feb 2026 - 2:57

884

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Negative modulo: why is $-3$ mod $12$ equal to $9$?

Published on 26 Jun 2018 - 13:47

60

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Around the equation $4\,\varphi \left(2^{n-1} \sigma(n)\right) ^2=2^{\sigma(n)}\cdot\varphi(n)^2$

Published on 25 Mar 2026 - 6:05

88

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Calculate modulo solution of a number with a high exponent

Published on 25 Mar 2026 - 17:24

48

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Congruence and modular arithmetics

Published on 26 Jun 2018 - 23:05

62

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Lucas Reciprocity Laws

Published on 26 Mar 2026 - 21:49

378

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$x^2-(p^4-16)y^2=p^2 \land x \mod (p^2-4) =2 \land x >0 \implies p | x,y$?

Published on 26 Mar 2026 - 9:58

54

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Number theory related question

Published on 27 Jun 2018 - 15:24

102

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A modular conjecture about odd primes

Published on 25 Mar 2026 - 13:32

48

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Invertibility in $\mathbb{Z}_m$.

Published on 28 Jun 2018 - 1:31

144

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Show that if $x = x^{-1}$ in $\mathbb{Z}_p$, then $x^2 - 1 = 0$. Deduce that $\pm1$ are the only elements of $\mathbb{Z}_p$ that are their own inverse

Published on 28 Jun 2018 - 3:18

880

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Remainder when $333^{333}$ is divided by $7$

Published on 26 Mar 2026 - 6:32

223

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2-digit number Modulus Nine.

Published on 23 Mar 2026 - 13:49

179

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Equalities modulo a product hold modulo a factor

Published on 28 Jun 2018 - 15:20

868

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Finding last digits

Published on 25 Mar 2026 - 9:22

List Question

Is it possible to find such a $n\in \mathbb {Z^{+}}$, for given value of $\lambda;$ $\frac {2^{10+\lambda+n}-2^{10+\lambda}-144759}{3^{10}}<349525$

Negative modulo: why is $-3$ mod $12$ equal to $9$?

Around the equation $4\,\varphi \left(2^{n-1} \sigma(n)\right) ^2=2^{\sigma(n)}\cdot\varphi(n)^2$

Calculate modulo solution of a number with a high exponent

Congruence and modular arithmetics

Lucas Reciprocity Laws

$x^2-(p^4-16)y^2=p^2 \land x \mod (p^2-4) =2 \land x >0 \implies p | x,y$?

Number theory related question

A modular conjecture about odd primes

Invertibility in $\mathbb{Z}_m$.

Show that if $x = x^{-1}$ in $\mathbb{Z}_p$, then $x^2 - 1 = 0$. Deduce that $\pm1$ are the only elements of $\mathbb{Z}_p$ that are their own inverse

Remainder when $333^{333}$ is divided by $7$

2-digit number Modulus Nine.

Equalities modulo a product hold modulo a factor

Finding last digits

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