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@Rumer57 @kosciuk @KeithDenning I think I found them :D

I was looking at a few of these games again when I noticed a few things:
- The user @JuanPablo5254 hosts many of their tournaments
- Most of the accounts have spanish names and a few of them have the Colombian flag set in their profile (e.g. @Valentinaospina1129, @jhowsebastian)
- The term "LRAB" comes up a few times (@LRAB2021, @MarianaLRAB2021, LRAB Arena lichess.org/tournament/1rfrOqiP)

I downloaded all of JuanPablo5254's Lichess games, converted the starting times of his games to Colombian time and created a Scatter plot of them. Also I did an Ecosia search for "LRAB Colombia" and the first hit was this school in Bogotá: lrab.edu.co. Under 'Inicio -> Consulte los Horarios' I could download some timetables so I put the times of the timetable also in the diagram.

This are the results:
- Almost all (~97%) of JuanPablo5254's 471 games from 3.2.21 until 6.5.21 were started during a class of that school.
- Not a single game was played on the weekend
- Practically no games were played during lunch break
- Only very few games were played during the short break
- Not a single game was played during the 2 weeks before Easter and including Easter Monday.

You can see the diagram here: www.dropbox.com/s/r986f10heook8s4/GamesJuanPablo5254.png?dl=0

At some point I ended up on a second website on the same domain (http://www.lrab.edu.co/index.php) which seems to be another school with the name Liceo Rodrigo Arenas Betancourt (LRAB). So I guess they are kids of that school :)
Also: In Colombia there are two school calendars. For one of them the school year starts at the end of January or the beginning of February...
Wow you took the research to a whole new level. Mystery completely solved! Thanks for the effort you put in!
Ok one more discovery: The accounts registered is around Feb 4, which matches the school calender @messyMate mentioned about!
Now start chain smoking and your a true detective 😂
This is the most beautiful chess-related thread I've ever seen.

Thank you to @Rumer57 and @messyMate for taking the time to lay out and then solve this mystery, I just wanted to say that following you guys to the conclusion there was a much more thrilling experience than I would like to admit. Keep up the good work, and keep it coming, I want more chess mysteries now lol
One new discovery: if they missed mate in 1 and stalemated, and alot of them did, why could they get 1540```~?
Without a question mark by the way.
@chtcht , Statistically if 1000 players play random chess with 1500 ratings, one player will likely end up winning 10 games (assuming no draws) get 2000+ ratings.

Theoretically, if 1 million champanzees signed up for a tournment and keep playing random moves by all of them, one champanzee can end up winning 20 games straight(assuming no draw) and can get 3000+ rating.

This is how statistics works.
I agree with @messyMate i guess they are from 8 th grade in same school i did some research and found that some users have 2008 in their name and some 12 or 13 which means their 7 th has been over few days ago and most of the people have registered in feb 4 so they should be 14 now because most people do not have birthday in feb .

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