Question

Have these Generalised Fermat Curves been studied before?

score 45 · Answer 1 · 2026-04-14 16:33:19

45

Views

Have these Generalised Fermat Curves been studied before?

Published on 14 Apr 2026 - 16:33

score 53 · Answer 2 · 2026-04-11 14:26:53

53

Views

what proportion of positive integers have exactly N pairs of consecutive integer factors?

Published on 11 Apr 2026 - 14:26

score 105 · Answer 3 · 2026-05-15 14:06:18

105

Views

Find the smallest integer n such that the expression $40! \cdot 5^n$ has the maximum number of trailing zeros.

Published on 15 May 2026 - 14:06

score 70 · Answer 4 · 2026-04-17 08:45:06

is it true that there **exist at least** a prime $P$ of the form $p_0^{\alpha_0}p_1^{\alpha_1}p_2^{\alpha_2}...p_k^{\alpha_k}+1$ ?

score 117 · Answer 5 · 2026-04-13 02:40:18

117

Views

Given a prime factorization of a number, find all of its other factorizations (not factors)

Published on 13 Apr 2026 - 2:40

score 59 · Answer 6 · 2026-04-11 06:16:37

59

Views

Question about number of perfect squares between two perfect cubes

Published on 11 Apr 2026 - 6:16

score 484 · Answer 7 · 2026-05-11 05:29:05

484

Views

Find all Pythagorean triples $x^2+y^2=z^2$ where $x=21$

Published on 11 May 2026 - 5:29

score 123 · Answer 8 · 2026-05-15 15:05:46

123

Views

What are the integral solutions of $239x-111y=1$

Published on 15 May 2026 - 15:05

score 539 · Answer 9 · 2026-05-15 00:42:45

539

Views

Let $g(k)$ be the greatest odd divisor of $k$ show that $ 0< \sum_{k=1}^n \frac {g(k)}{k} - \frac {2n}{3} \lt \frac 23$

Published on 15 May 2026 - 0:42

score 237 · Answer 10 · 2026-04-14 03:52:03

237

Views

Tricky question related to sequences and series

Published on 14 Apr 2026 - 3:52

score 141 · Answer 11 · 2026-04-15 00:49:54

141

Views

Prove $ P_{n+1} + _{n+2} ≤ _1\times_2\times\cdots\times_n$ for $n\geq3$. $P_n$ is the $n$-th prime.

Published on 15 Apr 2026 - 0:49

score 102 · Answer 12 · 2026-05-10 22:02:43

102

Views

$N \in \mathbb{N}$ is not a square, show that the continued fraction expansion of $\sqrt N/\lfloor\sqrt N\rfloor$ is $[1,\overline{a_1,a_2,\dots,2}]$

Published on 10 May 2026 - 22:02

score 2.1k · Answer 13 · 2026-05-15 15:05:31

2.1k

Views

Sum of two co-prime integers

Published on 15 May 2026 - 15:05

score 35 · Answer 14 · 2026-05-11 04:05:35

35

Views

Does bounded version of Lagrange's 4-square theorem follow from this result?

Published on 11 May 2026 - 4:05

score 68 · Answer 15 · 2026-04-09 11:23:16

68

Views

If $1\le a_1<\cdots<a_n\le 2n$ satisfy $\operatorname{lcm}(a_i,a_j)>2n$ for $i\ne j$, is $a_i>\frac{2n}{3}$ for all $i$?

Published on 09 Apr 2026 - 11:23

List Question

Have these Generalised Fermat Curves been studied before?

what proportion of positive integers have exactly N pairs of consecutive integer factors?

Find the smallest integer n such that the expression $40! \cdot 5^n$ has the maximum number of trailing zeros.

is it true that there exist at least a prime $P$ of the form $p_0^{\alpha_0}p_1^{\alpha_1}p_2^{\alpha_2}...p_k^{\alpha_k}+1$ ?

Given a prime factorization of a number, find all of its other factorizations (not factors)

Question about number of perfect squares between two perfect cubes

Find all Pythagorean triples $x^2+y^2=z^2$ where $x=21$

What are the integral solutions of $239x-111y=1$

Let $g(k)$ be the greatest odd divisor of $k$ show that $ 0< \sum_{k=1}^n \frac {g(k)}{k} - \frac {2n}{3} \lt \frac 23$

Tricky question related to sequences and series

Prove $ P_{n+1} + _{n+2} ≤ _1\times_2\times\cdots\times_n$ for $n\geq3$. $P_n$ is the $n$-th prime.

$N \in \mathbb{N}$ is not a square, show that the continued fraction expansion of $\sqrt N/\lfloor\sqrt N\rfloor$ is $[1,\overline{a_1,a_2,\dots,2}]$

Sum of two co-prime integers

Does bounded version of Lagrange's 4-square theorem follow from this result?

If $1\le a_1<\cdots<a_n\le 2n$ satisfy $\operatorname{lcm}(a_i,a_j)>2n$ for $i\ne j$, is $a_i>\frac{2n}{3}$ for all $i$?

Trending Questions

Popular # Hahtags

Popular Questions