Question

$a^2+b^2+c^2 = d^2+e^2+f^2 = m^2, ad + be = cf$ with $\{a,b,c,d,e,f\}$ all distinct positive integers

score 75 · Answer 1 · 2026-04-17 14:18:53

75

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$a^2+b^2+c^2 = d^2+e^2+f^2 = m^2, ad + be = cf$ with $\{a,b,c,d,e,f\}$ all distinct positive integers

Published on 17 Apr 2026 - 14:18

score 104 · Answer 2 · 2026-04-17 00:38:49

104

Views

RSA: Prove/disprove that $M_1^e\equiv M_2^e\ (\textrm{mod}\ n),$ given $M_1\not=M_2$

Published on 17 Apr 2026 - 0:38

score 148 · Answer 3 · 2026-04-16 15:15:46

148

Views

$\frac{1}{5}n^5+\frac{1}{3}n^3+\frac{7}{15}n$ is an integer for every integer n.

Published on 16 Apr 2026 - 15:15

score 7k · Answer 4 · 2026-04-15 14:27:03

7k

Views

Do Arithmetic Mean and Geometric Mean of Prime Numbers converge?

Published on 15 Apr 2026 - 14:27

score 319 · Answer 5 · 2026-04-16 15:23:18

319

Views

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

Published on 16 Apr 2026 - 15:23

score 164 · Answer 6 · 2026-04-14 07:06:26

164

Views

Comparing $\frac{(x+n)!}{x!}$ to $n!$

Published on 14 Apr 2026 - 7:06

score 122 · Answer 7 · 2026-04-15 16:17:02

122

Views

Fibonacci system of equations: part 1

Published on 15 Apr 2026 - 16:17

score 87 · Answer 8 · 2026-04-16 23:04:34

87

Views

There are infinity many numbers when added to Three distinct integers making them pair-wise relatively prime

Published on 16 Apr 2026 - 23:04

score 245 · Answer 9 · 2026-04-12 10:29:51

245

Views

Proof for rationality of a number

Published on 12 Apr 2026 - 10:29

score 108 · Answer 10 · 2026-04-15 17:03:10

108

Views

how many numbers in (not-strictly) descending order of string length k

Published on 15 Apr 2026 - 17:03

score 244 · Answer 11 · 2026-04-12 09:05:30

244

Views

Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Published on 12 Apr 2026 - 9:05

score 501 · Answer 12 · 2026-04-16 11:16:22

501

Views

Let $a$ be an integer that is not divisible by either $2$ or $3$. Prove that $a^2 − 1$ is divisible by $24$.

Published on 16 Apr 2026 - 11:16

score 160 · Answer 13 · 2026-04-15 20:39:08

160

Views

Which pairs of positive integers (,) satisfy $^2−2^=153$?

Published on 15 Apr 2026 - 20:39

score 5.2k · Answer 14 · 2026-04-14 10:23:11

5.2k

Views

Show that the equation $ax\equiv 1 \pmod{n}$ has a solution for some integer $x$ if and only if $\gcd(a,n) = 1$.

Published on 14 Apr 2026 - 10:23

score 713 · Answer 15 · 2026-04-09 21:27:19

713

Views

Formula to Create a Series

Published on 09 Apr 2026 - 21:27

List Question

$a^2+b^2+c^2 = d^2+e^2+f^2 = m^2, ad + be = cf$ with $\{a,b,c,d,e,f\}$ all distinct positive integers

RSA: Prove/disprove that $M_1^e\equiv M_2^e\ (\textrm{mod}\ n),$ given $M_1\not=M_2$

$\frac{1}{5}n^5+\frac{1}{3}n^3+\frac{7}{15}n$ is an integer for every integer n.

Do Arithmetic Mean and Geometric Mean of Prime Numbers converge?

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

Comparing $\frac{(x+n)!}{x!}$ to $n!$

Fibonacci system of equations: part 1

There are infinity many numbers when added to Three distinct integers making them pair-wise relatively prime

Proof for rationality of a number

how many numbers in (not-strictly) descending order of string length k

Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Let $a$ be an integer that is not divisible by either $2$ or $3$. Prove that $a^2 − 1$ is divisible by $24$.

Which pairs of positive integers (,) satisfy $^2−2^=153$?

Show that the equation $ax\equiv 1 \pmod{n}$ has a solution for some integer $x$ if and only if $\gcd(a,n) = 1$.

Formula to Create a Series

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