Aime ll 2022 problem 5

by Rook567, May 8, 2025, 9:08 PM

I don’t understand the solution. I got 220 as answer. Why does it insist, for example two primes must add to the third, when you can take 2,19,19 or 2,7,11 which for drawing purposes is equivalent to 1,1,2 and 2,7,9?

Will I fail again

by hashbrown2009, May 8, 2025, 1:54 PM

so this year I got 34 on JMO 772 774 and got docked 1 point from top honors + mop

I just got info that I pretty much cannot do math for the rest of summer due to family reasons, and the only time I have is winter break

do you guys think it's enough time to practice/grind to qualify mop through USAMO, or should I tell my parents to reschedule the stuff because I really want to make mop

(Note: I'm aiming for like 25+ on USAMO so at least silver but I'm not sure that's realistic given the circumstances i'm in)
This post has been edited 2 times. Last edited by hashbrown2009, Yesterday at 1:55 PM

HCSSiM vs other programs

by MathWizardThatCanBeatYou, May 6, 2025, 11:01 PM

For anyone that has been to HCSSiM and other summer math programs like Canada/USA Mathcamp, Ross, PROMYS, etc. What's the difference and which would you consider more worth it?

SUMaC Residential vs. Ross

by AwesomeDude10, May 6, 2025, 9:46 PM

Hi! I got into the SUMaC residential i program, and I also recently got off the Ross waitlist. I was wondering if anyone had any insight on which program is
1) More useful in furthering my mathematical knowledge (which has a better curriculum)
2) Since I'm a junior, which is more useful for college apps? (I know this is a little cringe)
Thanks!

ARML Location

by deduck, May 6, 2025, 4:19 PM

Loading poll details...
UNR -> Nevada
St Anselm -> New Hampshire
PSU -> Pennsylvania
WCU -> North Carolina


Put your USERNAME in the list ONLY IF YOU WANT TO!!!! !!!!!

I'm going to UNR if anyone wants to meetup!!! :D

Current List:
Iowa
UNR
PSU
St Anselm
WCU
This post has been edited 11 times. Last edited by deduck, Wednesday at 4:55 PM

USAMO Medals

by YauYauFilter, Apr 24, 2025, 2:47 AM

MathILy 2025 Decisions Thread

by mysterynotfound, Apr 21, 2025, 3:35 AM

Discuss your decisions here!
also share any relevant details about your decisions if you want
This post has been edited 2 times. Last edited by mysterynotfound, Apr 21, 2025, 4:28 PM

HCSSiM results

by SurvivingInEnglish, Apr 5, 2024, 5:33 AM

Anyone already got results for HCSSiM? Are there any point in sending additional work if I applied on March 19?

Sad Algebra

by tastymath75025, Apr 18, 2019, 11:00 PM

Find all polynomials $P$ with real coefficients such that $$\frac{P(x)}{yz}+\frac{P(y)}{zx}+\frac{P(z)}{xy}=P(x-y)+P(y-z)+P(z-x)$$holds for all nonzero real numbers $x,y,z$ satisfying $2xyz=x+y+z$.

Proposed by Titu Andreescu and Gabriel Dospinescu
This post has been edited 3 times. Last edited by djmathman, Apr 19, 2019, 3:59 PM

Wizard101

by El_Ectric, Apr 20, 2016, 9:30 PM

Integers $n$ and $k$ are given, with $n\ge k\ge2$. You play the following game against an evil wizard.

The wizard has $2n$ cards; for each $i=1,\ldots,n$, there are two cards labeled $i$. Initially, the wizard places all cards face down in a row, in unknown order.

You may repeatedly make moves of the following form: you point to any $k$ of the cards. The wizard then turns those cards face up. If any two of the cards match, the game is over and you win. Otherwise, you must look away, while the wizard arbitrarily permutes the $k$ chosen cards and then turns them back face-down. Then, it is your turn again.

We say this game is winnable if there exist some positive integer $m$ and some strategy that is guaranteed to win in at most $m$ moves, no matter how the wizard responds.

For which values of $n$ and $k$ is the game winnable?
This post has been edited 1 time. Last edited by v_Enhance, Apr 23, 2016, 1:32 PM
Reason: Use proper italics

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