Question

There are two irreducible rational numbers with denominators 600 and 700. Find the minimal possible value of the denominator of their sum.

score 255 · Answer 1 · 2026-04-13 21:28:39

There are two irreducible rational numbers with denominators 600 and 700. Find the minimal possible value of the denominator of their sum.

score 134 · Answer 2 · 2026-04-16 06:52:09

134

Views

Solution of $X^2+Y^2=Z^2$ under condition $X+Y+Z=1000$

Published on 16 Apr 2026 - 6:52

score 130 · Answer 3 · 2026-04-16 07:39:03

130

Views

Prove that $q^i \equiv 1 \pmod {n!}$ for all $q, n \in \mathbb{Z^+}$ where the prime factors of $q$ are greater than $n$

Published on 16 Apr 2026 - 7:39

score 513 · Answer 4 · 2026-04-17 01:21:30

513

Views

Prove that gcd$(n^2+1, (n+1)^2+1)$ is either 1 or 5

Published on 17 Apr 2026 - 1:21

score 114 · Answer 5 · 2026-04-17 01:29:41

114

Views

Find all values of $n, m \in \mathbb{Z^+}$ where ${n \choose m}=1984$

Published on 17 Apr 2026 - 1:29

score 1.5k · Answer 6 · 2026-04-11 03:49:19

1.5k

Views

Why do we eventually end up with $0$ in Euclidean Algorithm?

Published on 11 Apr 2026 - 3:49

score 59 · Answer 7 · 2026-04-14 19:50:05

let p be a prime number such that {p = 3 [4]} show that the equation {x ^ 2 + 1} = {[p]} does not admit solutions in Z

score 189 · Answer 8 · 2026-04-12 18:01:19

189

Views

Reasoning about the lower bound of ${{2n}\choose{n}}$

Published on 12 Apr 2026 - 18:01

score 85 · Answer 9 · 2026-04-15 08:12:01

85

Views

Number repositioning

Published on 15 Apr 2026 - 8:12

score 55 · Answer 10 · 2026-04-15 01:33:15

55

Views

Prove (in)equivalency: (1) $\exists$ non-zero $z\in\mathbb{Z}/n\mathbb{Z}$ such that $z^{t}=0$ for some $t$, (2) $\exists$ prime $p$ such that $p^2|n$

Published on 15 Apr 2026 - 1:33

score 68 · Answer 11 · 2026-04-09 07:30:34

68

Views

Trying to understand a lemma in a math paper on LCM

Published on 09 Apr 2026 - 7:30

score 595 · Answer 12 · 2026-04-15 01:40:46

595

Views

The cube of any integer divided by 8 leaves a remainder?

Published on 15 Apr 2026 - 1:40

score 49 · Answer 13 · 2026-04-12 10:28:04

49

Views

Does this follow from congruence?

Published on 12 Apr 2026 - 10:28

score 63 · Answer 14 · 2026-04-14 20:11:02

63

Views

Can you determine small primes from larger primes?

Published on 14 Apr 2026 - 20:11

score 121 · Answer 15 · 2026-04-11 19:16:01

121

Views

"Although it is necessary for $n$ to be prime in order for $R_n$ to be prime" as logic statement

Published on 11 Apr 2026 - 19:16

List Question

There are two irreducible rational numbers with denominators 600 and 700. Find the minimal possible value of the denominator of their sum.

Solution of $X^2+Y^2=Z^2$ under condition $X+Y+Z=1000$

Prove that $q^i \equiv 1 \pmod {n!}$ for all $q, n \in \mathbb{Z^+}$ where the prime factors of $q$ are greater than $n$

Prove that gcd$(n^2+1, (n+1)^2+1)$ is either 1 or 5

Find all values of $n, m \in \mathbb{Z^+}$ where ${n \choose m}=1984$

Why do we eventually end up with $0$ in Euclidean Algorithm?

let p be a prime number such that {p = 3 [4]} show that the equation {x ^ 2 + 1} = {[p]} does not admit solutions in Z

Reasoning about the lower bound of ${{2n}\choose{n}}$

Number repositioning

Prove (in)equivalency: (1) $\exists$ non-zero $z\in\mathbb{Z}/n\mathbb{Z}$ such that $z^{t}=0$ for some $t$, (2) $\exists$ prime $p$ such that $p^2|n$

Trying to understand a lemma in a math paper on LCM

The cube of any integer divided by 8 leaves a remainder?

Does this follow from congruence?

Can you determine small primes from larger primes?

"Although it is necessary for $n$ to be prime in order for $R_n$ to be prime" as logic statement

Trending Questions

Popular # Hahtags

Popular Questions