Three knight Checkmate.

Many beginners can do the QK vs K

A Novice can do KR vs K

Experienced players breeze through the KBB vs K

Masters know by heart the KNB vs K

Together, these make up the four basic checkmates, but long forgotten is their brother, the ugly duckling... THE THREE KNIGHT CHECKMATE

this probably means W underpromoted a pawn to a N - hope there was a good reason for that.

Hehehe! It probably means at least onePawn was underpromoted! 

I don't know how many moves the above position should take... but Three Knights shouldn't take more than twenty moves (not saying I can do it that quickly).

And the most likely reason for underpromoting is to have a crack/improve at an interesting checkmate! 

It is easier than KBN vs K. Not really practical, but still quite amusing.

 Definitely agree, though i've always been able to do KBN vs K without too much effort. Weirdly, KBB vs K is harder for me than KBN vs K

The 3 knight win is about the easiest in chess. And you'll probably never face it in your life. Don't waste your time on it. Rather work on Q vs R!

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Fine included 3 knights (and 2 knights) as "elementary endgames".

Others have included 2 knights v pawn and more. There is no general agreement on "the four basic checkmates".

Arisktotle wrote:

The 3 knight win is about the easiest in chess. And you'll probably never face it in your life. Don't waste your time on it. Rather work on Q vs R!

I'm of the same opinion. And in general it would be nice to introduce chess in such applications as https://prioklib.ru/ 1xbet apk. Where it would be possible to make good money on it. After all, imagine how much time each of us has spent at the board. And if all this time could be converted into money, it would be wonderful.

A more challenging example.

(1) The goals of a problemist are completely different from those of a game player. As in COMPLETELY. Not only in terms of problem objectives but also in the appreciation of content. And this post clearly comes from a game player.

(2) How deep 3N checkmates are is of no interest to the players unless they come close to the 50-move line. Multiplied by the probability that such a position will ever occur in the life of a chess player, the pay-out of such study is practically 0. Comparing "3N" to "2N vs P", the latter is way more significant in game practice - even when already rare.

The goals of anyone who is interested in endgames as mathematical problems are different from both those of a problemist and a game player.

There is no reason to dismiss those problems you are not interested in if others might be. Many game players would dismiss chess problems on the same grounds and with equal justification.

While the goals of game players and problemists are different, there is nothing to stop anyone, including OP, from wearing both hats.

Of course, nobody contests that!

But the OP is clearly not in that domain. Can't you read that from post#1? He probably can't even spell the word mathematics.

Nf3

You missed some out.

lets make this harder...

This is a tablebase draw.

no for black