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Interesting Diophantine equation
Ro.Is.Te.   2
N Today at 2:22 AM by UberPiggy
Find x, y, z that are positive integers which satisfy this equation $$\frac{1}{x+1} + \frac{1}{y+2} + \frac{1}{z+3} = \frac{11}{12}$$
2 replies
Ro.Is.Te.
Yesterday at 11:26 AM
UberPiggy
Today at 2:22 AM
prime numbers
wpdnjs   103
N Today at 1:05 AM by megarnie
does anyone know how to quickly identify prime numbers?

thanks.
103 replies
wpdnjs
Oct 2, 2024
megarnie
Today at 1:05 AM
9 Am I going insane?
PenguFish   19
N Today at 12:15 AM by nmlikesmath
I feel stupid honestly, and fyi, I did go over every question. Focus is counting with symmetry
19 replies
PenguFish
Mar 26, 2025
nmlikesmath
Today at 12:15 AM
How to get a 300+ on the NWEA MAP MATH test (URGENT)
nmlikesmath   14
N Yesterday at 11:22 PM by nmlikesmath
I have 4 days till this test, I'm wondering how do I get a 300+ and what do I need to know, thank you.
14 replies
nmlikesmath
May 3, 2025
nmlikesmath
Yesterday at 11:22 PM
Floor function
Ro.Is.Te.   5
N Yesterday at 10:55 PM by Soupboy0
Find all the real solution for this equation $$\left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{2x}{3} \right\rfloor = x$$
5 replies
Ro.Is.Te.
May 3, 2025
Soupboy0
Yesterday at 10:55 PM
National Team Round Problem 10?!
Leeoz   5
N Yesterday at 10:53 PM by Soupboy0
This was the 2015 national team round problem 10...


[quote=The hardest problem in MathCounts]
In the city of Trichotomy, every day the weather is exactly one of the following:
sunny, cloudy or rainy. Each day has a 50% chance of having the same weather
as the day before and a 25% chance of having each of the other two types of
weather. If it does not rain on Friday, what is the probability that there will be
no rain during the weekend (Saturday and Sunday)? Express your answer as a
common fraction.
[/quote]
5 replies
Leeoz
Yesterday at 5:44 AM
Soupboy0
Yesterday at 10:53 PM
9 Have you participated in the MATHCOUNTS competition?
aadimathgenius9   39
N Yesterday at 10:41 PM by pingpongmerrily
Have you participated in the MATHCOUNTS competition before?
39 replies
aadimathgenius9
Jan 1, 2025
pingpongmerrily
Yesterday at 10:41 PM
FTW Rating
ScrappyBoss0825   1
N Yesterday at 9:25 PM by sanaops9
Does anyone know when you get your FTW rating?? please tell me.
1 reply
ScrappyBoss0825
Yesterday at 9:17 PM
sanaops9
Yesterday at 9:25 PM
Facts About 2025!
Existing_Human1   259
N Yesterday at 8:49 PM by Math-lover1
Hello AOPS,

As we enter the New Year, the most exciting part is figuring out the mathematical connections to the number we have now temporally entered

Here are some facts about 2025:
$$2025 = 45^2 = (20+25)(20+25)$$$$2025 = 1^3 + 2^3 +3^3 + 4^3 +5^3 +6^3 + 7^3 +8^3 +9^3 = (1+2+3+4+5+6+7+8+9)^2 = {10 \choose 2}^2$$
If anyone has any more facts about 2025, enlighted the world with a new appreciation for the year


(I got some of the facts from this video)
259 replies
Existing_Human1
Jan 1, 2025
Math-lover1
Yesterday at 8:49 PM
300 MAP Goal??
Antoinette14   77
N Yesterday at 7:50 PM by HoneyHap
Hey, so as a 6th grader, my big goal for MAP this spring is to get a 300 (ambitious, i know). I'm currently at a 285 (288 last year though). I'm already taking a intro to counting and probability course (One of my weak points), but is there anything else you recommend I focus on to get a 300?
77 replies
Antoinette14
Jan 30, 2025
HoneyHap
Yesterday at 7:50 PM
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