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oscar AMVS
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6 votes
3 answers
806 views

Existence Problem of pigeonhole, selecting among a set of 50 numbers.

5 votes
1 answer
102 views

I need some help to solve a plane geometry problem.

4 votes
1 answer
87 views

Colouring 9 vertices on a circle.

4 votes
1 answer
286 views

A little help with Derangements

2 votes
1 answer
241 views

Showing that the sequence $a_{n+3}=5a^6_{n+2}+3a^3_{n+1}+a^2_n$, with $a_1=2019$, $a_2=2020$, $a_3=2021$, contains no numbers of the form $m^6$

1 vote
2 answers
110 views

Counting ten-digit numbers whose digits are all different and that are divisible by $11111$

0 votes
2 answers
108 views

Proving a condition of perpendicularity [closed]

0 votes
0 answers
27 views

A help with a number theory proof. [duplicate]

0 votes
1 answer
49 views

Number of solutions of an indefinite equation.

0 votes
0 answers
35 views

Engel's Extreme principle question.