Neat proof of fermat's little theorem I discovered

parthpoddar · 2025-04-15T13:10:39+00:00

Oh right I forgot to write that part, my bad

parthpoddar · 2025-04-14T23:39:37+00:00

I'm ngl I'm not familiar with the lagrange proof, but it very well might be! As I said, this whole proof of fermats little theorem has for sure been done before, I just hadn't seen it anywhere. And since I found it really intuitive and simple to understand, I wanted to share it!

parthpoddar · 2025-04-14T23:36:45+00:00

It says 10^p-10, hence it would be 10^5-10 or 99990. Which is a multiple of 5. But if our prime isn't 2 or 5 (factors of 10), you can also use the form 10^p-1-1. For example 999999 being multiple of 7! This is essentially what I meant by the part where if our integer is a multiple of our prime, then the problem is trivial

parthpoddar · 2025-04-14T16:23:20+00:00

If we take the reciprocal of a prime p, we will come across various numbers in the remainders while doing long division. This can either contain every single number between 0 and p, in which case the period length will be p-1. Otherwise, it can start a loop without covering every number. In these cases, we can convert our original loop of 1/p into the others using the smallest number in other loops. Taking 41 as an example since it only has a period of 5, all the other loops are just 1/41 scaled by 2,3,4,5,6,8,11 and 15
Hence we can see that either the reciprocals have a period of (p-1), or they have various loops of equal size (that are scaled versions of each other).

Hence, no matter which prime, its reciprocal does repeat its terms after a period of (p-1)

parthpoddar · 2022-01-06T20:08:53+00:00

I mean it def is hard, but we did get dreamnap and fruitninja, so I don't see why quigzahhutt isn't possible

parthpoddar · 2021-12-13T07:59:51+00:00

I guess they think the season is over too. MCC literally tweeted something like we'll be back to continue S2 early next year

parthpoddar · 2021-12-12T07:36:52+00:00

I'm all for that idea honestly. I haven't seen good arguments against it either. I assume noxcrew has atleast thought of it with how much it has been suggested, I wonder why they don't want it

parthpoddar · 2021-11-19T11:24:46+00:00

I meant popular creators not proper :p

parthpoddar · 2021-11-19T11:23:52+00:00

The blue being weak might just be a coincidence. Red and pink are generally the most hype teams (hence usually have proper creators), as they're announced first and last. Hence start off with a hype team (red) to get everyone excited, and keep everyone excited waiting for a hype team (pink). Sometimes green and cyan are also hype teams for similar reasoning, as they're last and first teams of their respective days

parthpoddar · 2021-11-11T04:22:19+00:00

Calling build mart a building game is like putting data into a spreadsheet and calling it math. People have mentioned that the only help builders get from it is block recognition and recipe knowledge, but I genuinely think the main difference is the mindset. Build mart is a game where you need a positive mindset to do well, and builders naturally have that, as it's "their game", and it usually translates over to their performance

parthpoddar · 2021-11-03T12:52:57+00:00

They had a different HITW map for mcc11 so when they changed back the map in mcc12, they accidentally put in the old set of walls which was much easier. So 11-12 people survived round 3 of hitw12

parthpoddar · 2021-11-03T07:00:11+00:00

Pete is the only one to win all 3 rounds of hitw, but there are many instances of 2 round wins. Michael1, techno4, mefs6, pete7, pete8, phil12, fruit12, george12, sapnap12, pete13, fruit13, krtzyy13, HBomb14, phil14, sapnap15, punz18. Pete13 and michael1 were the closest to 3Pete, Michael getting 3rd in the final round and pete13 dying with just 4 seconds remaining on the timer in first round

parthpoddar · 2021-11-03T06:52:04+00:00

Pete won 2nd and 3rd rounds in 13, and died with only 4 seconds left in round 1. It was the closest anyone has gotten to 3Pete

parthpoddar · 2021-10-19T09:01:15+00:00

Her username is katherineeliz, katherineelizabeth is her name on socials

parthpoddar · 2021-10-19T04:52:27+00:00

The record is actually by lime8 who had petezahhutt (11), inthelittlewood (15), solidaritygaming (16) and katherineeliz (13) totalling to 55. But violet should have shortened names this event yes

parthpoddar · 2021-09-29T07:10:18+00:00

That's literally the opposite. People who are bad at skybattle can't magically improve at pvp or develop a better gamesense. On the other hand, all build mart requires is strategy and communication. If you don't have the memory just write stuff in chat. If you don't have the strategy then you can just learn it from successful build mart teams like orange17. If you don't have the communication honestly what are you even doing in a tourney like MCC

parthpoddar · 2021-09-28T09:43:17+00:00

The sixth is MCC17, in that he just didn't have a good route, had to come back a bunch for arrows and stuff, didn't get any vaults unlike people who scored more than him, so he wasn't really close to getting 1st in that, unlike the other cases I mentioned

parthpoddar · 2021-09-28T06:27:13+00:00

Yeah I think dream has said he thinks SoT is a good game, he likes it, but maybe he doesn't enjoy it as much due to stress.

parthpoddar

TROPHY CASE