And to point out, puzzles are tactical vision, NOT actual playing ability. The reason why this formula works this way is because it calculates using your playing ability and gives a rough estimate of what your tactical vision could be. Not the other way around. Someone can be a genius tactician but will fail at the board if he lacks proper skill.
Puzzle rating 2000, 10mins game rating 1500
I think the puzzle leaderboard probably has a few cheaters on there ( not sure why you would cheat on puzzles). Baring in mind that some of them have 99% accuracy in solving puzzles which is ridiculously impressive if they’ve actually achieved that. I’m pretty sure most of the top players have around a 55% accuracy. When you think about it they would have to solve high level puzzles (maybe 3000+ rated puzzles) at an insane accuracy level when the majority of them don’t actually play any games of chess or are sub 2000 rated players
Play as long games you can with plus 30 sec. Analyze your weaknesses. Study. It is the only way to increase the rapid rating. Make 5 to 10 puzzles a day to keep your brain alert. Forget the puzzle rating it is mostly nonsens.
I think that is perfectly normal, my puzzle rating is 1900 and I'm rated around 800 in all timemodes

my puzzle rating is 2000 but i cant cross 1000 rapid rating anyone have any suggestions?
my puzzle pb is 5000 & i'm 2027 rapid... keep going.

Whoever tinkered with the puzzle rating calculations on this sited fugged it all up. It has NOTHING to do with how ratings are calculated, it's basically who does more puzzles is rated higher. Magnus Carlsen could get on here & do 20 puzzles & get them all right & have a way lower rating than some 1000 level player that's done 5000 puzzles & got a lot of them wrong. It's not like it used to be where it made some sense. Now the puzzle rating system is just stooopid.

Whoever tinkered with the puzzle rating calculations on this sited fugged it all up. It has NOTHING to do with how ratings are calculated, it's basically who does more puzzles is rated higher. Magnus Carlsen could get on here & do 20 puzzles & get them all right & have a way lower rating than some 1000 level player that's done 5000 puzzles & got a lot of them wrong. It's not like it used to be where it made some sense. Now the puzzle rating system is just stooopid.
The main problems are the minimum of 5 points no matter how long it takes to solve and no real limit to points gained when the tactics rating is high. Someone that is able to get to 4000+ shouldn't be getting any points for puzzles that are a lot lower rated, or if they are, it should be fractional or something. There is no reason to have any rating that is more than maybe 800 higher that the top rated puzzle average.
While ratings will still be higher than any game pools, which should be expected, it wouldn't be that bad.

My puzzle rating is almost 2700, but my rapid rating is around 1700, but this isn't my main account. On lichess, I'm around 2000 rapid rated and that's where I have played most of my chess.
Puzzle ratings are typically much higher than the actual rating because solving puzzles is one thing, but finding them in games or forcing them to happen is a different skill. There are also endgame skills and strategic play at hand so it's not a 1 for 1 translation.

Divide by 2 your puzzle rating and that will show your weak blunder move rating. Your move that causes direct loss in the games. On other sites you must divide by 3 or 1.5 your puzzle rating to find your blunder rating

The main problems are the minimum of 5 points no matter how long it takes to solve and no real limit to points gained when the tactics rating is high. Someone that is able to get to 4000+ shouldn't be getting any points for puzzles that are a lot lower rated, or if they are, it should be fractional or something.
gonna respectfully disagree with this: as somebody who has worked extremely hard to achieve a 5000 rating, i know that there are some important considerations being left out of this discussion:
firstly, it is incredibly easy to get one wrong in the 3-4 k range, with a corresponding drop of 20+ points per wrong answer... 5 points per solve was a greatly appreciated improvement over the old +1, since now you only need to correctly solve 4 (instead of 20+!) to make up for each miss, which is a huge boost to one's morale while trying to climb the rating ladder.
secondly, besides the occasional provisional problem you run across (which in my view just go towards canceling out the fiendishly-difficult & nearly impossible problems), once you reach a higher rating they are essentially all in the 3600-4000 range.
lastly, if somebody wants to put in the effort to get a higher puzzle rating, then why would it matter if there is no correlation to their playing strength? they are separate ratings because they gauge different skills!

I'm at puzzle rating 3000, on average 2700-2800. I don't think I'll be spotting some 2500 puzzles in my games.
I have a 1900-ish rapid rating and my puzzles is 3050. I decided to try to find a formula that can help calculate a person's tactics rating with their rapid. This is more of a rough calculation than a precise one. So you should give or take a few points from the result (up to 150 I suggest). Pr is puzzles rating, R is rapid rating and, n is 1/1000 of your actual puzzles rating
Here is the formula:
Pr= 5/3(R) - 1/15(R) + 11n
So, with my current rapid rating of 1891, we can infer that my puzzles should be around 2996. My highest puzzles is 3113 and my current puzzles (as of the time this was posted) is 3050. So it's not too far off.
It's a rather simple formula, I wish I had a good way to find accurate statistics to make a better one, this mostly works with players who have a rapid rating between 800 and 2400.