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k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Jun 2, 2025
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/list]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
Jun 2, 2025
0 replies
k i Suggestion Form
jwelsh   0
May 6, 2021
Hello!

Given the number of suggestions we’ve been receiving, we’re transitioning to a suggestion form. If you have a suggestion for the AoPS website, please submit the Google Form:
Suggestion Form

To keep all new suggestions together, any new suggestion threads posted will be deleted.

Please remember that if you find a bug outside of FTW! (after refreshing to make sure it’s not a glitch), make sure you’re following the How to write a bug report instructions and using the proper format to report the bug.

Please check the FTW! thread for bugs and post any new ones in the For the Win! and Other Games Support Forum.
0 replies
jwelsh
May 6, 2021
0 replies
k i Read me first / How to write a bug report
slester   3
N May 4, 2019 by LauraZed
Greetings, AoPS users!

If you're reading this post, that means you've come across some kind of bug, error, or misbehavior, which nobody likes! To help us developers solve the problem as quickly as possible, we need enough information to understand what happened. Following these guidelines will help us squash those bugs more effectively.

Before submitting a bug report, please confirm the issue exists in other browsers or other computers if you have access to them.

For a list of many common questions and issues, please see our user created FAQ, Community FAQ, or For the Win! FAQ.

What is a bug?
A bug is a misbehavior that is reproducible. If a refresh makes it go away 100% of the time, then it isn't a bug, but rather a glitch. That's when your browser has some strange file cached, or for some reason doesn't render the page like it should. Please don't report glitches, since we generally cannot fix them. A glitch that happens more than a few times, though, could be an intermittent bug.

If something is wrong in the wiki, you can change it! The AoPS Wiki is user-editable, and it may be defaced from time to time. You can revert these changes yourself, but if you notice a particular user defacing the wiki, please let an admin know.

The subject
The subject line should explain as clearly as possible what went wrong.

Bad: Forum doesn't work
Good: Switching between threads quickly shows blank page.

The report
Use this format to report bugs. Be as specific as possible. If you don't know the answer exactly, give us as much information as you know. Attaching a screenshot is helpful if you can take one.

Summary of the problem:
Page URL:
Steps to reproduce:
1.
2.
3.
...
Expected behavior:
Frequency:
Operating system(s):
Browser(s), including version:
Additional information:


If your computer or tablet is school issued, please indicate this under Additional information.

Example
Summary of the problem: When I click back and forth between two threads in the site support section, the content of the threads no longer show up. (See attached screenshot.)
Page URL: http://artofproblemsolving.com/community/c10_site_support
Steps to reproduce:
1. Go to the Site Support forum.
2. Click on any thread.
3. Click quickly on a different thread.
Expected behavior: To see the second thread.
Frequency: Every time
Operating system: Mac OS X
Browser: Chrome and Firefox
Additional information: Only happens in the Site Support forum. My tablet is school issued, but I have the problem at both school and home.

How to take a screenshot
Mac OS X: If you type ⌘+Shift+4, you'll get a "crosshairs" that lets you take a custom screenshot size. Just click and drag to select the area you want to take a picture of. If you type ⌘+Shift+4+space, you can take a screenshot of a specific window. All screenshots will show up on your desktop.

Windows: Hit the Windows logo key+PrtScn, and a screenshot of your entire screen. Alternatively, you can hit Alt+PrtScn to take a screenshot of the currently selected window. All screenshots are saved to the Pictures → Screenshots folder.

Advanced
If you're a bit more comfortable with how browsers work, you can also show us what happens in the JavaScript console.

In Chrome, type CTRL+Shift+J (Windows, Linux) or ⌘+Option+J (Mac).
In Firefox, type CTRL+Shift+K (Windows, Linux) or ⌘+Option+K (Mac).
In Internet Explorer, it's the F12 key.
In Safari, first enable the Develop menu: Preferences → Advanced, click "Show Develop menu in menu bar." Then either go to Develop → Show Error console or type Option+⌘+C.

It'll look something like this:
IMAGE
3 replies
slester
Apr 9, 2015
LauraZed
May 4, 2019
k i Community Safety
dcouchman   0
Jan 18, 2018
If you find content on the AoPS Community that makes you concerned for a user's health or safety, please alert AoPS Administrators using the report button (Z) or by emailing sheriff@aops.com . You should provide a description of the content and a link in your message. If it's an emergency, call 911 or whatever the local emergency services are in your country.

Please also use those steps to alert us if bullying behavior is being directed at you or another user. Content that is "unlawful, harmful, threatening, abusive, harassing, tortuous, defamatory, vulgar, obscene, libelous, invasive of another's privacy, hateful, or racially, ethnically or otherwise objectionable" (AoPS Terms of Service 5.d) or that otherwise bullies people is not tolerated on AoPS, and accounts that post such content may be terminated or suspended.
0 replies
dcouchman
Jan 18, 2018
0 replies
ISI UGB 2025
Entrepreneur   6
N Today at 3:15 PM by oty
Source: ISI UGB 2025
1.)
Suppose $f:\mathbb R\to\mathbb R$ is differentiable and $|f'(x)|<\frac 12\;\forall\;x\in\mathbb R.$ Show that for some $x_0\in\mathbb R,f(x_0)=x_0.$

3.)
Suppose $f:[0,1]\to\mathbb R$ is differentiable with $f(0)=0.$ If $|f'(x)|\le f(x)\;\forall\;x\in[0,1],$ then show that $f(x)=0\;\forall\;x.$

4.)
Let $S^1=\{z\in\mathbb C:|z|=1\}$ be the unit circle in the complex plane. Let $f:S^1\to S^1$ be the map given by $f(z)=z^2.$ We define $f^{(1)}:=f$ and $f^{(k+1)}=f\circ f^{(k)}$ for $k\ge 1.$ The smallest positive integer $n$ such that $f^n(z)=z$ is called period of $z.$ Determine the total number of points $S^1$ of period $2025.$

6.)
Let $\mathbb N$ denote the set of natural numbers, and let $(a_i,b_i), 1\le i\le 9,$ be nine distinct tuples in $\mathbb N\times\mathbb N.$ Show that there are $3$ distinct elements in the set $\{2^{a_i}3^{b_i}:1\le i\le 9\}$ whose product is a perfect cube.

8.)
Let $n\ge 2$ and let $a_1\le a_2\le\cdots\le a_n$ be positive integers such that $$\sum_{i=1}^n a_i=\prod_{i=1}^n a_i.$$Prove that $$\sum_{i=1}^n a_i\le 2n$$and determine when equality holds.
6 replies
Entrepreneur
May 27, 2025
oty
Today at 3:15 PM
2013 Japan MO Finals problem 5
parkjungmin   0
Today at 2:00 PM
When I posted the question in the high school student question room, there is no one who can solve it, so I'm posting it here.
It's a very difficult question
0 replies
parkjungmin
Today at 2:00 PM
0 replies
Ahlfors 4.1.3.5
centslordm   2
N Today at 10:16 AM by Mathzeus1024
Suppose that $f(z)$ is analytic on a closed curve $\gamma$ (i.e., $f$ is analytic in a region that contains $\gamma$). Show that \[\int_\gamma \overline{f(z)} f'(z)\,\mathrm dz\]is purely imaginary. (The continuity of $f'(z)$ is taken for granted.)
2 replies
centslordm
Dec 24, 2024
Mathzeus1024
Today at 10:16 AM
Trig fractions integration
smartvong   1
N Today at 6:03 AM by alexheinis
Evaluate $$\int^{\pi/2}_{0} \frac{\left(\frac{\sin{x} + 1}{\cos{x} + 2}\right)}{\left(\frac{\sin{x} - 3}{\cos{x} - 4}\right)} \,dx.$$
1 reply
smartvong
Today at 12:32 AM
alexheinis
Today at 6:03 AM
k 9 You Can Edit other peoples posts???
sadas123   7
N Apr 2, 2025 by TQ_Math
I saw that I can edit other peoples posts and I wonder if this is a glitch because this is an AoPS forum not a built one by a user.

7 replies
sadas123
Mar 10, 2025
TQ_Math
Apr 2, 2025
k 9 poll issues
AMathCountsguy10   1
N Oct 20, 2024 by Sotowa
I believe we should be able to edit the polls in the op (but also reset votes)
also, numerous polls in one thread
lastly who voted what/cancelling anonymity bc troll infestation
should we
1 reply
AMathCountsguy10
Oct 20, 2024
Sotowa
Oct 20, 2024
k how do I?
AbuBakr10   6
N Feb 28, 2024 by lekkal1
how do i advertise my poll?
6 replies
AbuBakr10
Feb 28, 2024
lekkal1
Feb 28, 2024
k 9 Strikethrough does not work with other sizes.
Sotowa   3
N Mar 23, 2023 by yiz76
(Yes, this is a BBCode issue, not AoPS, but AoPS might be able to implement something to accommodate for this.)

Strikethrough ([s]text[/s]) does not work on text that is a different size ([size=InsertNumberHere]text[/size]) if the strikethrough tags are on the outside (thanks aidan0626).

Too small text
Small text
Medium text
Large text
Too large text

If you would like to test this, please go here. Keep this thread for discussion of the bug, not testing.
3 replies
Sotowa
Mar 23, 2023
yiz76
Mar 23, 2023
k 9 Cannot self-talk in PMs
d.d0nut   3
N Nov 11, 2022 by yiz76
Summary of the problem: When you add your own username to the "To:" section of the PM then press "Enter", it says that if you want to talk to yourself, you should leave the section blank. But if you do leave it blank then post the PM, it says that you have to specify some recipients.
Page URL: https://artofproblemsolving.com/community/my-messages

Steps to reproduce:
1.
Go to the specified page URL.
2. Add yourself to the "To:" section of the PM. A dialog saying this should appear.
3. Add both a subject and some text longer than 8 characters.
4. Click "Submit" to post the PM. A dialog saying this should appear.

Expected behavior: You should successfully post a PM whose only people who can view it is yourself.
Frequency: Always
Operating system(s): Windows 10
Browser(s), including version: Chrome, latest update
Additional information: None
3 replies
d.d0nut
Nov 10, 2022
yiz76
Nov 11, 2022
k Poll Options Cleared
Sotowa   2
N Nov 1, 2022 by jlacosta
When you click option(s) for a poll (but do not submit) and then send a reply, your options are cleared. It should keep the options selected. I am on macOS Chrome 106.
(format not used because some information is superfluous)
2 replies
Sotowa
Oct 27, 2022
jlacosta
Nov 1, 2022
k 9 some questions
aayr   4
N Oct 31, 2022 by bpan2021
i have some questions/suggestions about this website, please do not answer unless you have reliable information

forums/posts
-most important question when a post is reported, is it reported only to the mods of that forum or to aops site admins also?
-how can you recover a deleted post on your forum?
-allten bot?
-what happens when a post is deleted? it's just archived and hidden, right?
-can admins recover previous edits of a post?
-how come you can't edit your polls?
-can you add more forums to your forum post count on your profile?

blogs
-why can't contributors edit their own posts?
-why can't people edit their comments?
-can some simple javascript be added? (just some simple onclick and if statements, would make it cooler)

i fully expect this thread to be deleted but theres a chance
4 replies
aayr
Oct 31, 2022
bpan2021
Oct 31, 2022
k 9 Remove the Suggestion Form
Sotowa   0
Oct 28, 2022
Hello everyone,

I believe Site Support should revert to suggestions on the forum. First of all, just like bugs, there are many common suggestions. With suggestions in the forum, users could search for other suggestions to avoid overlap. This would also be easier on the staff as it would limit repeats. Users would also be able to provide feedback to other's suggestions, creating a more collaborative environment. On a similar note, seeing each other's suggestions would allow us to take inspiration and we can make different suggestions inspired by previous ones.

Users could show support for a suggestion (like with upvotes or via a poll), which would help the staff see the popularity of an idea. This is not currently possible. This would help users see what the rest of the community wants as well, which will allow for users to make suggestions that are similar to popular ones. For example, I had posted a suggestion about a pop-up to reduce repetitive bug reports. As the topic seemed popular, but it seemed like the idea would not be implemented, I searched for another solution and ended up posting a similar suggestion about an email guide.

If someone wants their suggestion to be anonymous, there could be an anonymous option similar to 'Halp!', the suggestion form could remain up as optional, or they could PM it to an admin. Even with this, the process is still more transparent, which would be a welcome change.

Thank you for reading this and please take this into consideration.
0 replies
Sotowa
Oct 28, 2022
0 replies
k How to make a poll
b2025tyx   3
N Jul 2, 2022 by b2025tyx
I don't know how to make a poll, can someone give me some hints to help me make one?
3 replies
b2025tyx
Jul 2, 2022
b2025tyx
Jul 2, 2022
k Poll Bug!
AlienGirl05   5
N May 2, 2022 by AlienGirl05
Hello!

Recently, in my forum, Xarcade!, I made a poll "Vote Ten Times", where if you vote for all ten options, you win a prize of XB, our forum currency.

In order to claim the XB, you need to prove using a photo that you voted for all ten options.

I was the first one to claim the XB.

However, bpan$2021$ was the second one to claim the XB.

Weirdly enough, the AoPS poll said that only one person voted the tenth option.

His screenshot is below.

IMAGE

My screen said that I voted for the option, and so did his.

When I unvoted the tenth option to figure the problem out, it said that nobody voted for it.

This is a weird poll glitch which I don't understand.

Would anybody mind explaining?

Thank you!
5 replies
AlienGirl05
May 2, 2022
AlienGirl05
May 2, 2022
hard number theory problem
danilorj   4
N May 20, 2025 by c00lb0y
Let \( a \) and \( b \) be positive integers. Prove that
\[
a^2 + \left\lceil \frac{4a^2}{b} \right\rceil
\]is not a perfect square.
4 replies
danilorj
May 18, 2025
c00lb0y
May 20, 2025
hard number theory problem
G H J
G H BBookmark kLocked kLocked NReply
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danilorj
284 posts
#1
Y by
Let \( a \) and \( b \) be positive integers. Prove that
\[
a^2 + \left\lceil \frac{4a^2}{b} \right\rceil
\]is not a perfect square.
Z K Y
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Aiden-1089
307 posts
#2
Y by
See 2019 ISL N8.
This post has been edited 1 time. Last edited by Aiden-1089, May 18, 2025, 1:41 PM
Z K Y
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MathIQ.
46 posts
#3
Y by
My mistake
This post has been edited 2 times. Last edited by MathIQ., May 24, 2025, 12:50 AM
Reason: Mistake
Z K Y
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ohiorizzler1434
845 posts
#4
Y by
MathIQ. You are not sigma. Stop using ChatGPT to compensate for your inability to appreciate the intricate interplay of roots of quadratics and number theory.

Blud even used the floor signs instead of the ceiling signs. What the sigma????
This post has been edited 1 time. Last edited by ohiorizzler1434, May 19, 2025, 2:35 AM
Z K Y
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c00lb0y
17 posts
#5
Y by
@MathIQ open your eyes, the sum is 10 in case a=2 b=3, it is higher integer part of fraction, not lower
Z K Y
N Quick Reply
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