List questions from elementary-number-theory

Published on 13 Apr 2026 - 18:39

730

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Prove that $p|nm \Rightarrow p|n \lor p|m, \hspace{0,1 cm} p$ is a prime; $n,m \in \mathbb{Z}$

Published on 16 Apr 2026 - 12:16

72

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Can I complete the euclidean case without elliptic-curve-theory?

Published on 17 Apr 2026 - 15:51

17.5k

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How to find the key matrix of a 2x2 Hill Cipher?

Published on 13 Apr 2026 - 9:21

113

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Prove $3^{2n+1} + 2^{n+2} = 7m$

Published on 15 Apr 2026 - 3:13

1k

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Chinese Remainder Theorem whose modulus are not coprime

Published on 25 Mar 2026 - 9:24

55

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Find lesses positive integer that satisfies a congruence

Published on 14 Apr 2026 - 22:34

595

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Let $p$ be a prime and $k$a positive ingeger such that $a^k=a (mod p)$ for all integers a. prove that $p-1$divides $k-1$

Published on 15 Apr 2026 - 17:29

59

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Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Published on 15 Apr 2026 - 6:13

2.4k

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Is the sum of two coprime natural numbers prime?

Published on 09 Apr 2026 - 2:09

80

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Find $a$ and $b$ such that $7^7|(a+b)^7-a^7-b^7$

Published on 16 Apr 2026 - 21:09

65

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How many triplets $\left(m,n,p\right)$ where $p$ is a prime satisfy $2^mp^2+1=n^5$?

Published on 17 Apr 2026 - 11:25

170

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How to prove that if $\gcd(n,k)=1$ then $\gcd(f,nk)=\gcd(f,n)·\gcd(f,k)$ by primes

Published on 15 Apr 2026 - 18:39

282

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Maximum power of $2$ which divides $3^{1024}-1$

Published on 15 Apr 2026 - 3:04

38

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Modular arithmetic for large values

Published on 11 Apr 2026 - 10:11

List Question

Why has the interval changed from p-1 to p/2?

Prove that $p|nm \Rightarrow p|n \lor p|m, \hspace{0,1 cm} p$ is a prime; $n,m \in \mathbb{Z}$

Can I complete the euclidean case without elliptic-curve-theory?

How to find the key matrix of a 2x2 Hill Cipher?

Prove $3^{2n+1} + 2^{n+2} = 7m$

Chinese Remainder Theorem whose modulus are not coprime

Find lesses positive integer that satisfies a congruence

Let $p$ be a prime and $k$a positive ingeger such that $a^k=a (mod p)$ for all integers a. prove that $p-1$divides $k-1$

Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Is the sum of two coprime natural numbers prime?

Find $a$ and $b$ such that $7^7|(a+b)^7-a^7-b^7$

How many triplets $\left(m,n,p\right)$ where $p$ is a prime satisfy $2^mp^2+1=n^5$?

How to prove that if $\gcd(n,k)=1$ then $\gcd(f,nk)=\gcd(f,n)·\gcd(f,k)$ by primes

Maximum power of $2$ which divides $3^{1024}-1$

Modular arithmetic for large values

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