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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]
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
May 1, 2025
0 replies
k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
AP calc?
Thayaden   9
N 7 minutes ago by Aopsauser9999
How are we all feeling on AP calc guys?
9 replies
Thayaden
4 hours ago
Aopsauser9999
7 minutes ago
Quick Question
b2025tyx   5
N 8 minutes ago by CJB19
During my math final today at school, the question said stated "When every integer is raised to the power of zero, it is equal to 1". The answers were multiple choice and were : Always, sometimes, never, and I don't know.

I ended up putting the first one, and was informed that it was incorrect. My teacher told me that $0^0$ is not equal to one. I looked it up, and it said $0^0 = 1$. Can someone confirm and prove this. Thanks!
5 replies
b2025tyx
22 minutes ago
CJB19
8 minutes ago
9 Pythagorean Triples
ZMB038   36
N 20 minutes ago by CJB19
Please put some of the ones you know, and try not to troll/start flame wars! Thank you :D
36 replies
ZMB038
Yesterday at 6:04 PM
CJB19
20 minutes ago
Challenge: Make every number to 100 using 4 fours
CJB19   212
N 27 minutes ago by CJB19
I've seen this attempted a lot but I want to see if the AoPS community can actually do it. Using ONLY 4 fours and math operations, make as many numbers as you can. Try to go in order. I'll start:
$$(4-4)*4*4=0$$$$4-4+4/4=1$$$$4/4+4/4=2$$$$(4+4+4)/4=3$$$$4+(4-4)*4=4$$$$4+4^{4-4}=5$$$$4!/4+4-4=6$$$$4+4-4/4=7$$$$4+4+4-4=8$$
212 replies
CJB19
May 15, 2025
CJB19
27 minutes ago
Similar triangles and cyclic quadrilaterals
tapir1729   25
N 2 hours ago by VideoCake
Source: TSTST 2024, problem 8
Let $ABC$ be a scalene triangle, and let $D$ be a point on side $BC$ satisfying $\angle BAD=\angle DAC$. Suppose that $X$ and $Y$ are points inside $ABC$ such that triangles $ABX$ and $ACY$ are similar and quadrilaterals $ACDX$ and $ABDY$ are cyclic. Let lines $BX$ and $CY$ meet at $S$ and lines $BY$ and $CX$ meet at $T$. Prove that lines $DS$ and $AT$ are parallel.

Michael Ren
25 replies
tapir1729
Jun 24, 2024
VideoCake
2 hours ago
number theory
frost23   3
N 2 hours ago by frost23
Source: own
is it true that all numbers of the form $a1a1a2a2.........anan$ which is a perfect square is of the form $10^n.10^n.88^2/100$ for $n>1$
3 replies
frost23
2 hours ago
frost23
2 hours ago
a^n + b is divisible by p but not by p^2
Assassino9931   1
N 2 hours ago by sarjinius
Source: Vojtech Jarnik IMC 2025, Category I, P1
Let $a\geq 2$ be an integer. Prove that there exists a positive integer $b$ with the following property: For each positive integer $n$, there is a prime number $p$ (possibly depending on $a,b,n$) such that $a^n + b$ is divisible by $p$, but not divisible by $p^2$.
1 reply
Assassino9931
May 2, 2025
sarjinius
2 hours ago
Cute NT but misplaced
AndreiVila   2
N 2 hours ago by Davi Medeiros
Source: IMAR Test 2024 P2
Let $n$ be a positive integer and let $x$ and $y$ be positive divisors of $2n^2-1$. Prove that $x+y$ is not divisible by $2n+1$.
2 replies
AndreiVila
Nov 16, 2024
Davi Medeiros
2 hours ago
Integer polynomial commutes with sum of digits
cjquines0   45
N 2 hours ago by anudeep
Source: 2016 IMO Shortlist N1
For any positive integer $k$, denote the sum of digits of $k$ in its decimal representation by $S(k)$. Find all polynomials $P(x)$ with integer coefficients such that for any positive integer $n \geq 2016$, the integer $P(n)$ is positive and $$S(P(n)) = P(S(n)).$$
Proposed by Warut Suksompong, Thailand
45 replies
cjquines0
Jul 19, 2017
anudeep
2 hours ago
Good Permutations in Modulo n
swynca   11
N 3 hours ago by Assassino9931
Source: BMO 2025 P1
An integer $n > 1$ is called $\emph{good}$ if there exists a permutation $a_1, a_2, a_3, \dots, a_n$ of the numbers $1, 2, 3, \dots, n$, such that:
$(i)$ $a_i$ and $a_{i+1}$ have different parities for every $1 \leq i \leq n-1$;
$(ii)$ the sum $a_1 + a_2 + \cdots + a_k$ is a quadratic residue modulo $n$ for every $1 \leq k \leq n$.
Prove that there exist infinitely many good numbers, as well as infinitely many positive integers which are not good.
11 replies
swynca
Apr 27, 2025
Assassino9931
3 hours ago
Israel Number Theory
mathisreaI   67
N 3 hours ago by lolsamo
Source: IMO 2022 Problem 5
Find all triples $(a,b,p)$ of positive integers with $p$ prime and \[ a^p=b!+p. \]
67 replies
mathisreaI
Jul 13, 2022
lolsamo
3 hours ago
IMO 2016 Shortlist, N6
dangerousliri   69
N 3 hours ago by MR.1
Denote by $\mathbb{N}$ the set of all positive integers. Find all functions $f:\mathbb{N}\rightarrow \mathbb{N}$ such that for all positive integers $m$ and $n$, the integer $f(m)+f(n)-mn$ is nonzero and divides $mf(m)+nf(n)$.

Proposed by Dorlir Ahmeti, Albania
69 replies
dangerousliri
Jul 19, 2017
MR.1
3 hours ago
Number of Solutions is 2
Miku3D   30
N 3 hours ago by lakshya2009
Source: 2021 APMO P1
Prove that for each real number $r>2$, there are exactly two or three positive real numbers $x$ satisfying the equation $x^2=r\lfloor x \rfloor$.
30 replies
Miku3D
Jun 9, 2021
lakshya2009
3 hours ago
Problem 3
blug   3
N 3 hours ago by sunken rock
Source: Czech-Polish-Slovak Junior Match 2025 Problem 3
In a triangle $ABC$, $\angle ACB=60^{\circ}$. Points $D, E$ lie on segments $BC, AC$ respectively. Points $K, L$ are such that $ADK$ and $BEL$ are equlateral, $A$ and $L$ lie on opposite sides of $BE$, $B$ and $K$ lie on the opposite siedes of $AD$. Prove that
$$AE+BD=KL.$$
3 replies
blug
Yesterday at 4:47 PM
sunken rock
3 hours ago
2000th post!
evt917   35
N Mar 10, 2025 by eddie.li
Wow I can't believe I'm at 2000 posts already! I guess this also celebrates my (late) 3 year anniversary on AoPS!

um i guess i share my story (most problems are written by me)

1st grade -- i forgot ok

2nd grade -- i was at public school like the regular kids, there i started loving basketball and i was already working on prealgebra level stuff example problem

3rd grade -- started aops i skipped to calculus anyway so here i was still in public school and I started algebra a, but made no progress so my parents asked me if I want to homeschool (lucky they didn't force me), and i said yes example problem

4th grade -- Finished intro to programming with python, got 13 on amc 8 (skull), finished all intro courses except intro to number theory. i was shaky on lots of concepts and i had to do a review (by myself with the aops books) sometimes. example problem

5th grade -- finished intermediate programming with python but somehow failed usaco (the score shall be undisclosed), i started learning some basic C++, and finished all intro courses and im doing intermediate algebra and intermediate number theory now :D . I got 21 on amc 8 (improvement but no dhr) and 72 on amc 10a (buh). oh and by the way I'm still playing basketball in my rec league :) example problem

for more example problems go to my two mock amc 8's and keep an eye on my other mock im about to create!

anyway thanks aops for 2000 posts it helped me learn so much


p.s. lots of information i didn't share but this is the general idea (also pls upvote! if i reach 10 upvotes i will create something special here)
35 replies
evt917
Feb 24, 2025
eddie.li
Mar 10, 2025
2000th post!
G H J
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evt917
2422 posts
#1 • 13 Y
Y by DarintheBoy, goldendog, froyocat, Creeperboat, Squidget, HWenslawski, Sedro, Yrock, jkim0656, fastgoodboy, BookExplorer, Yiyj1, sangriabeaver5
Wow I can't believe I'm at 2000 posts already! I guess this also celebrates my (late) 3 year anniversary on AoPS!

um i guess i share my story (most problems are written by me)

1st grade -- i forgot ok

2nd grade -- i was at public school like the regular kids, there i started loving basketball and i was already working on prealgebra level stuff example problem

3rd grade -- started aops i skipped to calculus anyway so here i was still in public school and I started algebra a, but made no progress so my parents asked me if I want to homeschool (lucky they didn't force me), and i said yes example problem

4th grade -- Finished intro to programming with python, got 13 on amc 8 (skull), finished all intro courses except intro to number theory. i was shaky on lots of concepts and i had to do a review (by myself with the aops books) sometimes. example problem

5th grade -- finished intermediate programming with python but somehow failed usaco (the score shall be undisclosed), i started learning some basic C++, and finished all intro courses and im doing intermediate algebra and intermediate number theory now :D . I got 21 on amc 8 (improvement but no dhr) and 72 on amc 10a (buh). oh and by the way I'm still playing basketball in my rec league :) example problem

for more example problems go to my two mock amc 8's and keep an eye on my other mock im about to create!

anyway thanks aops for 2000 posts it helped me learn so much


p.s. lots of information i didn't share but this is the general idea (also pls upvote! if i reach 10 upvotes i will create something special here)
This post has been edited 2 times. Last edited by evt917, Feb 26, 2025, 4:27 AM
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orangebear
711 posts
#2 • 1 Y
Y by HWenslawski
Congrats! :clap: It will be a long time till I get my 2000th post.
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jocaleby1
204 posts
#3 • 1 Y
Y by HWenslawski
Congrats on 2000 posts!
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froyocat
1065 posts
#4 • 1 Y
Y by HWenslawski
bruh nice
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derekwang2048
1228 posts
#5 • 1 Y
Y by HWenslawski
nice you're in my class
and made me lose 157 rating on chess.com >:(
also the last problem is from HMMT and I saw on ftw
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happymoose666
339 posts
#6 • 1 Y
Y by HWenslawski
wow 2000 posts and in 6th grade???
Im in 7th and I got 23 in amc8s, 70 amc10a
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GlitchyBoy
87 posts
#7 • 1 Y
Y by HWenslawski
wow yall are smart, im in 7th and i got 16 on amc8, 58.5 amc10b
got 33 on chapter last yr as a 6th grader, dont wanna disclose my score this year cuz i did worse:)
congratulations on 2000 posts (coming from a 20 post ahh guy)
This post has been edited 1 time. Last edited by GlitchyBoy, Feb 25, 2025, 4:04 AM
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jb2015007
1967 posts
#8 • 1 Y
Y by HWenslawski
problem for grade 5 DEFINITELY not copied off of intro to nt textbook...
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evt917
2422 posts
#9 • 1 Y
Y by HWenslawski
ok well i written too much competitions im out of ideas
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CC_chloe
308 posts
#10 • 1 Y
Y by HWenslawski
congrats pro this is my 300th :P
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LittleBacat
13 posts
#11 • 1 Y
Y by HWenslawski
congrats!
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giselezhu
765 posts
#12 • 1 Y
Y by HWenslawski
@LittleBacat, you could get more posts! (I think i have 529 or around something like that)
Also, congrats to @evt917!!!!! :clap2: :clap2: :clap2:
I’ve did aops for around 1/2 a yr i think?

So basically this is my math life

In Grade 1 (year 2) i was working on stuff on geometry like there’s 2 overlapping squares and you calculate a shaded area with 3 given side lengths
In Grade 2 (year 3) i focused on doing more variable work and learnt the Pythagorean theorem
In Grade 3 (year 4) i was SUPER bored because the school work was tooooo easy and tried to understand the proof of the Pythagorean theorem, which wasn’t easy at that time while also doing ratios
Grade 4 (year 5) joined aops and finally understood Pythagorean theorem learned to calculate area of a circle, doing AMC 8, and reading books about basic trigonometry

Rnow i only need 1 min to do school math homework (about)

This year I got 16 for AMC 8 i think not bad because I’m only 4th grade!!!!! I can’t really find anyone on aops the same age as me. Also i type fastest in my whole class!
This post has been edited 5 times. Last edited by giselezhu, Feb 25, 2025, 11:15 AM
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giangtruong13
148 posts
#13 • 1 Y
Y by HWenslawski
Lol, what's the sigma
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littlebigbull
585 posts
#14 • 1 Y
Y by HWenslawski
freeal
freeal
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Yrock
1300 posts
#15 • 1 Y
Y by HWenslawski
giselezhu wrote:
@LittleBacat, you could get more posts! (I think i have 529 or around something like that)
Also, congrats to @evt917!!!!! :clap2: :clap2: :clap2:
I’ve did aops for around 1/2 a yr i think?

So basically this is my math life

In Grade 1 (year 2) i was working on stuff on geometry like there’s 2 overlapping squares and you calculate a shaded area with 3 given side lengths
In Grade 2 (year 3) i focused on doing more variable work and learnt the Pythagorean theorem
In Grade 3 (year 4) i was SUPER bored because the school work was tooooo easy and tried to understand the proof of the Pythagorean theorem, which wasn’t easy at that time while also doing ratios
Grade 4 (year 5) joined aops and finally understood Pythagorean theorem learned to calculate area of a circle, doing AMC 8, and reading books about basic trigonometry

Rnow i only need 1 min to do school math homework (about)

This year I got 16 for AMC 8 i think not bad because I’m only 4th grade!!!!! I can’t really find anyone on aops the same age as me. Also i type fastest in my whole class!

I'm 4th grade too lol

also gj on 2000 posts! I've been here for 3 years almost and I only have 1200...
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dionysusheero
33 posts
#16 • 1 Y
Y by HWenslawski
Congrats
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sadas123
1318 posts
#17
Y by
Congrats!!!!! I was defeinetley not good as you last year in 5th grade I got a 12 on AMC 8 :(
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RedChameleon
1244 posts
#18 • 1 Y
Y by fastgoodboy
evt917 wrote:
Wow I can't believe I'm at 2000 posts already! I guess this also celebrates my (late) 2 year anniversary on AoPS!

Three year anniversary my guy

Three
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Yrock
1300 posts
#19 • 1 Y
Y by fastgoodboy
evt917 wrote:
(all problems are written by me)
jb2015007 wrote:
problem for grade 5 DEFINITELY not copied off of intro to nt textbook...

I am confused lol
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fastgoodboy
368 posts
#20
Y by
I'm a long way to 2000
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MathBishop
33 posts
#21
Y by
same here
fastgoodboy wrote:
I'm a long way to 2000

:noo:
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Yiyj1
1266 posts
#22
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more than halfway there im on the grind
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evt917
2422 posts
#23
Y by
okay 10 upvotes! I promised to post something special...

It'll be ready in really early march!
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evt917
2422 posts
#24
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also it took wayy less time to get a 1000 posts to start than to get my next 1000 posts...
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RoyalPrince
354 posts
#25 • 1 Y
Y by BookExplorer
Now I'm aiming for 2000 posts eventually. Click to reveal hidden text
This post has been edited 7 times. Last edited by RoyalPrince, Feb 26, 2025, 4:11 PM
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evt917
2422 posts
#27
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okay, the something special i'll post is... my 1000th post on AoPS! I took so long finding it
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Jello0211
12 posts
#28
Y by
good job
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valisaxieamc
486 posts
#29
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evt917 wrote:
also it took wayy less time to get a 1000 posts to start than to get my next 1000 posts...

How long did it take you to make your first 1000 posts?
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evt917
2422 posts
#30
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idk?

we're not done; here is my first post lol
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This post has been edited 1 time. Last edited by evt917, Mar 5, 2025, 3:23 AM
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Yiyj1
1266 posts
#31
Y by
evt917 wrote:
idk?

we're not done; here is my first post lol

lol that's an iinteresting first post
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evt917
2422 posts
#32
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it took me until March 2024 to get my 1000th post
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eddie.li
32 posts
#33
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why did you go too algebra a though?
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eddie.li
32 posts
#34
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evt917 wrote:
idk?

we're not done; here is my first post lol

Lol
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JohannIsBach
237 posts
#35
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nice! i want that much! :wow:
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valisaxieamc
486 posts
#36
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sadas123 wrote:
Congrats!!!!! I was defeinetley not good as you last year in 5th grade I got a 12 on AMC 8 :(

I got a 6 back in 5th grade lol
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eddie.li
32 posts
#37
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I’m in second grade and am already in algebra a but I don’t have many posts
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