Question

a,b,c are three real numbers where $a + \frac{1}{b} = b + \frac{1}{c} = c + \frac{1}{a}$. Now $abc$ = ? Here will the answer be a number?

score 172 · Answer 1 · 2026-04-16 01:07:26

172

Views

a,b,c are three real numbers where $a + \frac{1}{b} = b + \frac{1}{c} = c + \frac{1}{a}$. Now $abc$ = ? Here will the answer be a number?

Published on 16 Apr 2026 - 1:07

score 87 · Answer 2 · 2026-04-14 03:10:37

87

Views

Let $x,y$ be coprime integers. If $z$ is a multiple of $x$ and $y$ then $z$ is a multiple of $xy$.

Published on 14 Apr 2026 - 3:10

score 543 · Answer 3 · 2026-04-15 04:35:32

543

Views

Finding rational solutions for $3x^2+5y^2 =4$

Published on 15 Apr 2026 - 4:35

score 77 · Answer 4 · 2026-04-16 02:07:14

77

Views

Discrete mathematics - Rubiks cube permutation and unique states.

Published on 16 Apr 2026 - 2:07

score 88 · Answer 5 · 2026-04-10 16:10:12

88

Views

Does this way of grouping numbers have a name?

Published on 10 Apr 2026 - 16:10

score 865 · Answer 6 · 2026-04-16 15:54:08

865

Views

Find all primes $p$ for which there are positive integers $x, y$ such that $p+1=2x^2$ and $p^2+1=2y^2$

Published on 16 Apr 2026 - 15:54

score 64 · Answer 7 · 2026-04-12 23:44:18

64

Views

Prove that there does not exist ${ace\over bdf}={m\over n}$ where $m,n\in\mathbb{Z^+}$ and $m+n\lt101$

Published on 12 Apr 2026 - 23:44

score 399 · Answer 8 · 2026-04-11 17:14:21

399

Views

How exactly does finding a square root of $1$ modulo $N$ enable us to factor $N$?

Published on 11 Apr 2026 - 17:14

score 882 · Answer 9 · 2026-04-17 08:11:34

Find a 10 digit number that contains all digits from 0 to 9 once, starts with a 3, and is also divisible by all whole numbers from 2 to 18

score 295 · Answer 10 · 2026-04-16 05:06:49

295

Views

Show that if $\gcd(abc,d^2)=1$, then $\gcd(a,d)=\gcd(b,d)=\gcd(c,d)=1$.

Published on 16 Apr 2026 - 5:06

score 72 · Answer 11 · 2026-04-16 07:46:59

72

Views

For $F(n)$ the $n$-th Fibonacci number, is $F(a)F(b)-F(a+1)F(b-1)$ always $\pm F(m)$ for some $m$?

Published on 16 Apr 2026 - 7:46

score 68 · Answer 12 · 2026-04-17 05:47:54

68

Views

Understanding this proof regarding quadratic residues

Published on 17 Apr 2026 - 5:47

score 40 · Answer 13 · 2026-04-13 02:46:59

40

Views

coprime integers come in pairs

Published on 13 Apr 2026 - 2:46

score 43 · Answer 14 · 2026-04-12 01:19:09

43

Views

Constraints over $e$ for $x^n \equiv a (2^e) $ to be solvable

Published on 12 Apr 2026 - 1:19

score 104 · Answer 15 · 2026-04-17 15:43:33

104

Views

Is there any natural number triangle whose inscribed circle's radius is $1$ except length $(a,b,c)=(3,4,5)$?

Published on 17 Apr 2026 - 15:43

List Question

a,b,c are three real numbers where $a + \frac{1}{b} = b + \frac{1}{c} = c + \frac{1}{a}$. Now $abc$ = ? Here will the answer be a number?

Let $x,y$ be coprime integers. If $z$ is a multiple of $x$ and $y$ then $z$ is a multiple of $xy$.

Finding rational solutions for $3x^2+5y^2 =4$

Discrete mathematics - Rubiks cube permutation and unique states.

Does this way of grouping numbers have a name?

Find all primes $p$ for which there are positive integers $x, y$ such that $p+1=2x^2$ and $p^2+1=2y^2$

Prove that there does not exist ${ace\over bdf}={m\over n}$ where $m,n\in\mathbb{Z^+}$ and $m+n\lt101$

How exactly does finding a square root of $1$ modulo $N$ enable us to factor $N$?

Find a 10 digit number that contains all digits from 0 to 9 once, starts with a 3, and is also divisible by all whole numbers from 2 to 18

Show that if $\gcd(abc,d^2)=1$, then $\gcd(a,d)=\gcd(b,d)=\gcd(c,d)=1$.

For $F(n)$ the $n$-th Fibonacci number, is $F(a)F(b)-F(a+1)F(b-1)$ always $\pm F(m)$ for some $m$?

Understanding this proof regarding quadratic residues

coprime integers come in pairs

Constraints over $e$ for $x^n \equiv a (2^e) $ to be solvable

Is there any natural number triangle whose inscribed circle's radius is $1$ except length $(a,b,c)=(3,4,5)$?

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