rmm day 3 recap
by OronSH, Feb 13, 2025, 3:55 PM
I woke up and ate breakfast at
after a night of not being able to sleep well (I spent about
hours awake between
and
). After breakfast we walked to the testing place which was at the school. I thought it would be in some big room or auditorium but it was just in a few small classrooms. I was in the same room as Math4Life2020 and the other people who were #1 in their country which was interesting. They gave us a banana and a Romanian chocolate bar. I didn't either because the banana would get my hand sticky and the previous day I had heard from numbersandnumbers that the chocolate bar contained rum which was very interesting. I brought out some kit kats instead. We put our phones away and started at
.
The way we kept track of time was also interesting. In my room, they used a stopwatch. I think some other rooms used regular clocks, and I heard that one room had
manually drawn circles on a board that changed every
minutes.
Anyway upon receiving the test I was disgusted by the lack of geo. As a result I try p1 first. Unfortunately the statement is a nightmare to understand so I struggle for at least twenty minutes before finally finding something that I think is progress and looked slightly nontrivial when written out symbolically but later realized was pretty trivial. For the next hour I keep trying small cases but they were kind of hard themselves.
Then I take a break to try p2 for a while but I suck at nt so I didn't find anything. I went back to p1 and after some more writing stuff symbolically I realize that I can extend the trivial thing I was doing before to cover the entire problem, so I finish writing up p1 by
.
I move on to p2, but I end up getting stuck and not even believing the problem was true, because I knew that it was unknown whether there were cofinitely many Wieferich primes and didn't consider odd
greater than
.
On p3 I try too much weird stuff, which involved cayley-bacharach at one point, only to get the small cases all wrong. Time is up by now oops. After the test I discuss with my teammates who tell me the solution for p2, which was just show the largest prime factor increases. I guess I was too tired to think of this. I thought to try number of prime factors increases, but that is definitely way harder to show (if true) and less likely to be true. We all meet up, and go to lunch. While discussing possibilities for partials, I realize that I almost definitely have
. Lunch was also interesting since the dessert had alcohol.
After lunch we went back to the hotel and played slope and card games and whatever. Soon we went to dinner, where as dessert we were given our third alcohol containing item of the day. As a result none of us ate much of it.
We went back to our hotel and I think some people played more card games, but I left early to try and get more sleep before day
.
Also, at some point we were asked by a member of the team to estimate the number of times the words "foot" or "feet" had been said so far on the trip. Our estimate was about
.





The way we kept track of time was also interesting. In my room, they used a stopwatch. I think some other rooms used regular clocks, and I heard that one room had


Anyway upon receiving the test I was disgusted by the lack of geo. As a result I try p1 first. Unfortunately the statement is a nightmare to understand so I struggle for at least twenty minutes before finally finding something that I think is progress and looked slightly nontrivial when written out symbolically but later realized was pretty trivial. For the next hour I keep trying small cases but they were kind of hard themselves.
Then I take a break to try p2 for a while but I suck at nt so I didn't find anything. I went back to p1 and after some more writing stuff symbolically I realize that I can extend the trivial thing I was doing before to cover the entire problem, so I finish writing up p1 by

I move on to p2, but I end up getting stuck and not even believing the problem was true, because I knew that it was unknown whether there were cofinitely many Wieferich primes and didn't consider odd


On p3 I try too much weird stuff, which involved cayley-bacharach at one point, only to get the small cases all wrong. Time is up by now oops. After the test I discuss with my teammates who tell me the solution for p2, which was just show the largest prime factor increases. I guess I was too tired to think of this. I thought to try number of prime factors increases, but that is definitely way harder to show (if true) and less likely to be true. We all meet up, and go to lunch. While discussing possibilities for partials, I realize that I almost definitely have

After lunch we went back to the hotel and played slope and card games and whatever. Soon we went to dinner, where as dessert we were given our third alcohol containing item of the day. As a result none of us ate much of it.
We went back to our hotel and I think some people played more card games, but I left early to try and get more sleep before day

Also, at some point we were asked by a member of the team to estimate the number of times the words "foot" or "feet" had been said so far on the trip. Our estimate was about
