List questions from contest-math

Published on 06 May 2026 - 1:51

579

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Length of Shadow from a lamp?

Published on 06 May 2026 - 21:42

650

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All possible values of coordinate k such that triangle ABC is a right triangle?

Published on 07 May 2026 - 6:41

493

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Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

Published on 05 May 2026 - 0:39

50

Views

Lack of clarity over modular arithmetic notation

Published on 05 May 2026 - 13:32

109

Views

if $n\nmid 2^n+1, n|2^{2^n+1}+1$ show that the $3^k\cdot p$ is good postive integers numbers

Published on 07 May 2026 - 9:54

159

Views

How to prove infinitely many integer triples $x,y,z$ such that $x^2 + y^2 + z^2$ is divisible by $(x + y +z)$

Published on 07 May 2026 - 10:08

137

Views

Proving that $b-a\ge \pi $

Published on 06 May 2026 - 4:12

1.3k

Views

Volume of sphere split into eight sections?

Published on 07 May 2026 - 11:27

362

Views

Largest Cube that fits the space between two Spheres?

Published on 02 May 2026 - 4:16

451

Views

A Combination of Graph Theory and Number Theory

Published on 07 May 2026 - 12:48

222

Views

sequence of remainders modulo 2?

Published on 07 May 2026 - 13:17

1.1k

Views

Find all pairs of integers (x,y) such that $x(x+1)(x^2+x+2)=2y^2$

Published on 05 May 2026 - 10:47

64

Views

Prove that the subgraph is a complete directed graph

Published on 29 Apr 2026 - 12:30

150

Views

In parallelogram $ABCD,AB = 1,BC = 4$, and $\angle ABC=60^{\circ}$ .Suppose that $AC$ is extended from A to a point E beyond C so that triangle ADE…

Published on 29 Apr 2026 - 12:27

List Question

Solution to a hard inequality

Length of Shadow from a lamp?

All possible values of coordinate k such that triangle ABC is a right triangle?

Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

Lack of clarity over modular arithmetic notation

if $n\nmid 2^n+1, n|2^{2^n+1}+1$ show that the $3^k\cdot p$ is good postive integers numbers

How to prove infinitely many integer triples $x,y,z$ such that $x^2 + y^2 + z^2$ is divisible by $(x + y +z)$

Proving that $b-a\ge \pi $

Volume of sphere split into eight sections?

Largest Cube that fits the space between two Spheres?

A Combination of Graph Theory and Number Theory

sequence of remainders modulo 2?

Find all pairs of integers (x,y) such that $x(x+1)(x^2+x+2)=2y^2$

Prove that the subgraph is a complete directed graph

In parallelogram $ABCD,AB = 1,BC = 4$, and $\angle ABC=60^{\circ}$ .Suppose that $AC$ is extended from A to a point E beyond C so that triangle ADE…

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