List questions from elementary-number-theory

Published on 10 May 2026 - 12:53

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Show that every nonzero element of $(\mathbb{Z}/p\mathbb{Z})$ has order $p$

Published on 10 Apr 2026 - 16:23

63

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Numbers which are a sum of two squares

Published on 11 Apr 2026 - 21:09

143

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Confusion p.t. modulo notation in a proof

Published on 14 Apr 2026 - 19:31

268

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Calculation of the last three digits of $132^{1601}$ (solving $x \equiv 132^{1601} \pmod {1000}$)

Published on 14 Apr 2026 - 18:57

520

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Conjectured primality tests for specific classes of $k\cdot b^n \pm 1$

Published on 16 May 2026 - 13:17

150

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Find all values such that $\phi(n)=n-2$

Published on 17 Apr 2026 - 22:54

1.2k

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Prove using axioms : Let x be an integer. If $x*x=x$, then $x = 0$ or $1$.

Published on 17 Apr 2026 - 10:20

356

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Proposition: For all $m, n, p, q$ contained in Natural Numbers, $(m-n)p = mp - np$

Published on 15 Apr 2026 - 21:58

78

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Integer solutions of $kx^2=y^3-1$, where $k$ is given positive integer.

Published on 15 Apr 2026 - 7:38

255

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Show that if n is even and $n≥ 2$ then $\phi(n)≤ n/2$

Published on 15 Apr 2026 - 19:27

462

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Let $n$ be a positive integer. Show that $n\phi(n)=\phi(n^2).$

Published on 14 Apr 2026 - 18:23

113

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Cryptography RSA system

Published on 12 Apr 2026 - 6:00

574

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If both the product and sum of four integers are even, which of the following could be the number of even integers in the group? 0 2 4?

Published on 15 Apr 2026 - 11:14

11.9k

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Using Fermat's little theorem to find Multiplicative Inverse

Published on 11 Apr 2026 - 17:29

List Question

Why do these two sequences end in an increasing number of zeroes?

Show that every nonzero element of $(\mathbb{Z}/p\mathbb{Z})$ has order $p$

Numbers which are a sum of two squares

Confusion p.t. modulo notation in a proof

Calculation of the last three digits of $132^{1601}$ (solving $x \equiv 132^{1601} \pmod {1000}$)

Conjectured primality tests for specific classes of $k\cdot b^n \pm 1$

Find all values such that $\phi(n)=n-2$

Prove using axioms : Let x be an integer. If $x*x=x$, then $x = 0$ or $1$.

Proposition: For all $m, n, p, q$ contained in Natural Numbers, $(m-n)p = mp - np$

Integer solutions of $kx^2=y^3-1$, where $k$ is given positive integer.

Show that if n is even and $n≥ 2$ then $\phi(n)≤ n/2$

Let $n$ be a positive integer. Show that $n\phi(n)=\phi(n^2).$

Cryptography RSA system

If both the product and sum of four integers are even, which of the following could be the number of even integers in the group? 0 2 4?

Using Fermat's little theorem to find Multiplicative Inverse

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