Stay ahead of learning milestones! Enroll in a class over the summer!

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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 2025
0 replies
The daily problem!
Leeoz   192
N 19 minutes ago by valenbb
Every day, I will try to post a new problem for you all to solve! If you want to post a daily problem, you can! :)

Please hide solutions and answers, hints are fine though! :)

Problems usually get harder throughout the week, so Sunday is the easiest and Saturday is the hardest!

Past Problems!
192 replies
Leeoz
Mar 21, 2025
valenbb
19 minutes ago
9 Pythagorean Triples
ZMB038   49
N 23 minutes ago by FJH07
Please put some of the ones you know, and try not to troll/start flame wars! Thank you :D
49 replies
ZMB038
May 19, 2025
FJH07
23 minutes ago
Summer math contest prep
Abby0618   4
N 43 minutes ago by Abby0618
School is almost out, so I have a lot of time in the summer. I want to be able to make DHR on AMC 8 in 7th grade

(current 6th grader) and hopefully get an average score in AMC 10. What should I do during the summer to achieve

these goals? For context, I have many books from AOPS, have already taken the Intro to Algebra A course, and took

AMC 8 for the first time as a 6th grader. If there are any challenging math problems you think would benefit learning,

please post them here. Thank you! :-D
4 replies
Abby0618
5 hours ago
Abby0618
43 minutes ago
9 How many squares do you have memorized
LXC007   90
N an hour ago by videogamer
How many squares have you memorized. I have 1-20

Edit: to clarify i mean positive squares from 1 so if you say ten you mean you memorized the squares 1,2,3,4,5,6,7,8,9 and 10
90 replies
LXC007
May 17, 2025
videogamer
an hour ago
How can I know the sequences's convergence value?
Madunglecha   5
N Yesterday at 10:50 AM by teomihai
What is the convergence value of the sequence??
(n^2)*ln(n+1/n)-n
5 replies
Madunglecha
Wednesday at 6:56 AM
teomihai
Yesterday at 10:50 AM
Prove the statement
Butterfly   12
N Yesterday at 9:44 AM by oty
Given an infinite sequence $\{x_n\} \subseteq  [0,1]$, there exists some constant $C$, for any $r>0$, among the sequence $x_n$ and $x_m$ could be chosen to satisfy $|n-m|\ge r $ and $|x_n-x_m|<\frac{C}{|n-m|}$.
12 replies
Butterfly
May 7, 2025
oty
Yesterday at 9:44 AM
Classifying Math with Symbols Based on Behavior
Midevilgmer   2
N Yesterday at 4:06 AM by Midevilgmer
I have been working on a new math idea that prioritizes the behavior of numbers, equations, and expressions rather than their exact values. Numbers are described using symbols like P (Positive), N (Negative), Z (Zero), I (Imaginary), and D (Decimal). The goal is to create a system that uses symbols that allows you to perform operations like P*D and P+N and determine the behavioral outcomes based on the properties involved. For example, instead of identifying a number as 3, you would describe it as a positive, odd, whole, prime number, allowing you work with those traits individually or together. I would like to mention that I already have created an Addition, Subtraction, Multiplication, Division, Square Root, Exponent, and Factorial table that shows how these different behaviors work in basic operations. Finally, I want to mention that my current background includes a knowledge of geometry, algebra, and a very little amount of calculus. Any thoughts or ideas would be appreciated.
2 replies
Midevilgmer
Yesterday at 12:55 AM
Midevilgmer
Yesterday at 4:06 AM
36x⁴ + 12x² - 36x + 13 > 0
fxandi   3
N Yesterday at 1:48 AM by fxandi
Prove that for any real $x \geq 0$ holds inequality $36x^4 + 12x^2 - 36x + 13 > 0.$
3 replies
fxandi
May 5, 2025
fxandi
Yesterday at 1:48 AM
Weird integral
Martin.s   2
N Yesterday at 12:43 AM by ADus
\[
\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} 
\frac{1 - e^{-2} \cos\left(2\left(u + \tan u\right)\right)}
{1 - 2e^{-2} \cos\left(2\left(u + \tan u\right)\right) + e^{-4}} 
\, \mathrm{d}u
\]
2 replies
Martin.s
May 20, 2025
ADus
Yesterday at 12:43 AM
IMC 2018 P4
ThE-dArK-lOrD   18
N Wednesday at 8:50 PM by jonh_malkovich
Source: IMC 2018 P4
Find all differentiable functions $f:(0,\infty) \to \mathbb{R}$ such that
$$f(b)-f(a)=(b-a)f’(\sqrt{ab}) \qquad \text{for all}\qquad a,b>0.$$
Proposed by Orif Ibrogimov, National University of Uzbekistan
18 replies
ThE-dArK-lOrD
Jul 24, 2018
jonh_malkovich
Wednesday at 8:50 PM
convergence
Soupboy0   2
N Wednesday at 6:33 PM by fruitmonster97
If the function $\zeta(n) = \frac{1}{1^n}+\frac{1}{2^n}+\frac{1}{3^n}+....$ diverges for $n=1$ (harmonic sequence) but converges for $n=2$ because $\frac{\pi^2}{6}$, is there a value between $n=1$ and $n=2$ such that $\zeta(n)$ converges

(i dont know the answer could someone please help me)
2 replies
Soupboy0
Wednesday at 6:13 PM
fruitmonster97
Wednesday at 6:33 PM
a^2=3a+2imatrix 2*2
zolfmark   3
N Wednesday at 2:00 PM by Mathzeus1024
A
matrix 2*2

A^2=3A+2i
A^3=mA+Li


i means identity matrix,

find constant m ، L
3 replies
zolfmark
Feb 23, 2019
Mathzeus1024
Wednesday at 2:00 PM
polynomial having a simple root
FFA21   1
N Wednesday at 1:59 PM by Doru2718
Source: MSU algebra olympiad 2025 P4
$f(x)\in R[x]$ show that $f(x)+i$ has at least one root of multiplicity one
1 reply
FFA21
May 20, 2025
Doru2718
Wednesday at 1:59 PM
non-solvable group has subgroup that is not isomorphic to any normal subgroup
FFA21   1
N Wednesday at 1:45 PM by Doru2718
Source: MSU algebra olympiad 2025 P7
Show that in every finite non-solvable group there is a subgroup that is not isomorphic to any normal subgroup
1 reply
FFA21
May 20, 2025
Doru2718
Wednesday at 1:45 PM
Some Important Problems in Mathematics
fossasor   11
N Apr 1, 2025 by fossasor
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11 replies
fossasor
Apr 1, 2025
fossasor
Apr 1, 2025
Some Important Problems in Mathematics
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fossasor
609 posts
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Yihangzh
1228 posts
#2
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@ above, bruh
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jkim0656
1048 posts
#3
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#2 is so sigma
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Yihangzh
1228 posts
#4
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jkim0656 wrote:
#2 is so sigma

:dry: :dry: :dry:
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jkim0656
1048 posts
#5
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stop postfarming dude
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fossasor
609 posts
#6
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This isn't post farming, it's an April fools joke.
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jkim0656
1048 posts
#7
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wait what?
where i live its still 9:23 on 3/31 loll
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yaxuan
3411 posts
#8
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jkim0656 wrote:
wait what?
where i live its still 9:23 on 3/31 loll

In EST, it is midnight on 4/1 already.
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jkim0656
1048 posts
#9
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oh$~~~~~$
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fossasor
609 posts
#10
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Shout-out to Zhenghua for being orz (I think I met you as a sevvie lol)
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jkim0656
1048 posts
#11
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fossasor wrote:
Shout-out to Zhenghua for being orz (I think I met you as a sevvie lol)

whos Zhenghua?
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fossasor
609 posts
#12
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jkim0656 wrote:
#2 is so sigma

Indeed, it is quite rizzy
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