List questions from elementary-number-theory

Published on 25 Feb 2018 - 5:10

566

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Is there a number of the form $f(n)=7k+6=5p$ with prime $p$?

Published on 25 Mar 2026 - 20:22

1.1k

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$x^2 - (x - 1)$ is prime?

Published on 25 Mar 2026 - 20:17

355

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What is the inverse of $\left[ \sum_{k=1}^{j} \left\lfloor \frac{i}{k} \right\rfloor \right]_{n \times n}$?

Published on 07 Apr 2026 - 0:30

34

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Generic form of this function of factorization

Published on 12 Apr 2026 - 6:13

2.1k

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What is the significance of the multiplicative inverse?

Published on 12 Apr 2026 - 1:51

55

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Proving divisibility $x^2\Big|\frac{(xy+1)^n-1}{(xy+1)-1}$.

Published on 25 Mar 2026 - 4:58

66

Views

Find one prime $p = kn + r$ where $\gcd(r, n) = 1$

Published on 25 Mar 2026 - 7:48

398

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How to show the $p$ minus primitive root is also a primitive root for $p \equiv1 \pmod {4}$

Published on 09 Apr 2026 - 2:44

400

Views

Prove that $24|n^2-1$, if $(n,6)=1$

Published on 26 Feb 2018 - 18:34

20

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Number Theory calculation problem

Published on 10 Apr 2026 - 22:23

67

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Prove if $x,y \in {R}$ and $x < y \land x \ge 1$ then $x^2 \lt y^2$

Published on 26 Mar 2026 - 2:48

111

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Largest set of natural numbers such that when picking any three, one divides the sum of the other two?

Published on 12 Apr 2026 - 13:36

117

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Why $ 2$ is a prime number since it has different representation than other primes?

Published on 25 Mar 2026 - 20:18

1.1k

Views

Multiplication of Moduli in Modular Congruences

Published on 01 Apr 2026 - 5:09

List Question

$2n^2\mid (a^n-1)$ always stands?

Is there a number of the form $f(n)=7k+6=5p$ with prime $p$?

$x^2 - (x - 1)$ is prime?

What is the inverse of $\left[ \sum_{k=1}^{j} \left\lfloor \frac{i}{k} \right\rfloor \right]_{n \times n}$?

Generic form of this function of factorization

What is the significance of the multiplicative inverse?

Proving divisibility $x^2\Big|\frac{(xy+1)^n-1}{(xy+1)-1}$.

Find one prime $p = kn + r$ where $\gcd(r, n) = 1$

How to show the $p$ minus primitive root is also a primitive root for $p \equiv1 \pmod {4}$

Prove that $24|n^2-1$, if $(n,6)=1$

Number Theory calculation problem

Prove if $x,y \in {R}$ and $x < y \land x \ge 1$ then $x^2 \lt y^2$

Largest set of natural numbers such that when picking any three, one divides the sum of the other two?

Why $ 2$ is a prime number since it has different representation than other primes?

Multiplication of Moduli in Modular Congruences

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