List questions from elementary-number-theory

Published on 17 Apr 2026 - 7:04

93

Views

Number Theory - Decimal Representation Question. Difficulty understanding a given solution.

Published on 17 Apr 2026 - 5:17

298

Views

Prove that $1^2\cdot3^2\cdot5^2\cdots(p-2)^2 \equiv (-1)^{(p+1)/2} \pmod p$

Published on 17 Apr 2026 - 4:29

124

Views

Kind of a closed form for the Möbius function as the number of points on n-dimensional hyperboloids.

Published on 10 Apr 2026 - 18:27

86

Views

Let $p(x) \in \mathbb{Z}[x], p(2) = p(-2) = 2, p(100) < 0$. Prove that $p(100) < -1000$

Published on 16 Apr 2026 - 0:57

90

Views

Question on Perfect Numbers

Published on 11 Apr 2026 - 19:03

423

Views

How do you prove that $n^2-1$ is composite when $n>2$?

Published on 13 Apr 2026 - 6:56

316

Views

Well ordering principle

Published on 12 Apr 2026 - 14:13

154

Views

The number of positive squarefree integers less than $n$.

Published on 14 Apr 2026 - 13:31

426

Views

Equation involving floor function and fractional part function

Published on 10 Apr 2026 - 7:05

812

Views

Each natural number is equal to the set of all natural numbers less than it

Published on 14 Apr 2026 - 1:09

150

Views

If $a \mid b^2$, $b \mid c^2$, $c \mid a^2$ then prove $abc \mid (a+b+c)^7$

Published on 15 Apr 2026 - 4:15

254

Views

Additive basis of order $2$ (I)

Published on 29 Apr 2026 - 12:49

92

Views

Intersection of three events and a diophantine equation

Published on 15 Apr 2026 - 11:31

219

Views

RSA Decryption, Finding the value of d without being allowed to do operations with fractions.

Published on 11 Apr 2026 - 10:49

List Question

Analyze if $(a+b)^{m} \equiv a^{m}+b^{m} \pmod {m}$

Number Theory - Decimal Representation Question. Difficulty understanding a given solution.

Prove that $1^2\cdot3^2\cdot5^2\cdots(p-2)^2 \equiv (-1)^{(p+1)/2} \pmod p$

Kind of a closed form for the Möbius function as the number of points on n-dimensional hyperboloids.

Let $p(x) \in \mathbb{Z}[x], p(2) = p(-2) = 2, p(100) < 0$. Prove that $p(100) < -1000$

Question on Perfect Numbers

How do you prove that $n^2-1$ is composite when $n>2$?

Well ordering principle

The number of positive squarefree integers less than $n$.

Equation involving floor function and fractional part function

Each natural number is equal to the set of all natural numbers less than it

If $a \mid b^2$, $b \mid c^2$, $c \mid a^2$ then prove $abc \mid (a+b+c)^7$

Additive basis of order $2$ (I)

Intersection of three events and a diophantine equation

RSA Decryption, Finding the value of d without being allowed to do operations with fractions.

Trending Questions

Popular # Hahtags

Popular Questions