List questions from contest-math

Published on 21 Mar 2026 - 22:47

562

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Length of Shadow from a lamp?

Published on 21 Mar 2026 - 23:41

638

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

Published on 25 Mar 2026 - 0:44

481

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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 17 Mar 2026 - 14:52

39

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Lack of clarity over modular arithmetic notation

Published on 23 Mar 2026 - 17:21

98

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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 17 Mar 2026 - 11:39

149

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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 23 Mar 2026 - 1:55

125

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Proving that $b-a\ge \pi $

Published on 20 Mar 2026 - 9:53

1.3k

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Volume of sphere split into eight sections?

Published on 15 Mar 2026 - 1:08

352

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Largest Cube that fits the space between two Spheres?

Published on 16 Mar 2026 - 18:46

443

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A Combination of Graph Theory and Number Theory

Published on 17 Mar 2026 - 7:48

214

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sequence of remainders modulo 2?

Published on 24 Mar 2026 - 23:42

1.1k

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

Published on 17 Mar 2026 - 8:26

58

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Prove that the subgraph is a complete directed graph

Published on 20 Mar 2026 - 12:34

144

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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 24 Mar 2026 - 20:33

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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