List questions from elementary-number-theory

Published on 14 Apr 2026 - 16:05

1.1k

Views

Proposition: For all integers m, n, p, q (m-n) - (p-q) = (m+q) - (n+p)

Published on 16 Apr 2026 - 16:11

61

Views

Find the remainder Of an equation

Published on 10 May 2026 - 16:13

325

Views

Show that $1000000! \equiv 500001 \mod 1000003$

Published on 14 Apr 2026 - 21:22

81

Views

Showing that $-1\not\equiv 5^{n}\pmod{2^k}$.

Published on 15 Apr 2026 - 13:25

351

Views

How does this elementary method of solving Pell's equation compare with the classical methods?

Published on 17 Apr 2026 - 5:53

67

Views

Finding primes from 6 integers closest to two twin primes multiplied together.

Published on 10 May 2026 - 15:10

75

Views

Which row consists 2017 in the following pattern?

Published on 10 May 2026 - 14:59

136

Views

Minimize $152207x-81103y$ over the positive integers.

Published on 10 May 2026 - 14:30

61

Views

If $(a,c)=1$ and $b|c$, prove that $(a,b)=1$

Published on 17 Apr 2026 - 14:06

53

Views

Extension on my one of previous questions about each element in a sequence being coprime.

Published on 09 Apr 2026 - 5:50

297

Views

Proving $\left(\mathbb{Z}/p^{d} \mathbb{Z}\right)^{\times}$ is cyclic for prime p

Published on 13 Apr 2026 - 17:29

108

Views

Solve $73x-137y=0$, $x,y\in\mathbb{Z}.$

Published on 14 Apr 2026 - 8:36

122

Views

Show that: $-1 \equiv (-1)^{(p-1)/2}x^2 \pmod p$

Published on 17 Apr 2026 - 12:26

65

Views

If $gcd(a,b)=1$ then $gcd\big(\frac{a^{p}+b^{p}}{a+b},a+b\big)=1$ unless $p|a+b$

Published on 17 Apr 2026 - 13:19

List Question

Positive integer solutions to the equation $\frac{1}{n}+\frac{1}{m}=\frac{1}{143}$

Proposition: For all integers m, n, p, q (m-n) - (p-q) = (m+q) - (n+p)

Find the remainder Of an equation

Show that $1000000! \equiv 500001 \mod 1000003$

Showing that $-1\not\equiv 5^{n}\pmod{2^k}$.

How does this elementary method of solving Pell's equation compare with the classical methods?

Finding primes from 6 integers closest to two twin primes multiplied together.

Which row consists 2017 in the following pattern?

Minimize $152207x-81103y$ over the positive integers.

If $(a,c)=1$ and $b|c$, prove that $(a,b)=1$

Extension on my one of previous questions about each element in a sequence being coprime.

Proving $\left(\mathbb{Z}/p^{d} \mathbb{Z}\right)^{\times}$ is cyclic for prime p

Solve $73x-137y=0$, $x,y\in\mathbb{Z}.$

Show that: $-1 \equiv (-1)^{(p-1)/2}x^2 \pmod p$

If $gcd(a,b)=1$ then $gcd\big(\frac{a^{p}+b^{p}}{a+b},a+b\big)=1$ unless $p|a+b$

Trending Questions

Popular # Hahtags

Popular Questions