user15536: Is there a database of chess probpems that have the game or positions PGN and or FEN?

user20407: If you don't mind playing on mobile, chesspuzzleblitz.com has a playable database and it lets you compete. 
Also, chessbluders.org and www.yacpdb.org are great resources too. 

user32147: https://lichess.org/training it is a very good place for puzzles there are more than 2000000 in lichess you can download them from https://database.lichess.org/#puzzles and there are a lot of themes
ex:-

Master Games
Mate in 1
Super GM games


user14778: You can also buy Harold Van der Heidjen's endgame study database. It contains more or less all the endgame studies he could gather from the old classic (Saavedra, Ponziani etc..) to the most recent from every publications  and composing tournaments out there. And everything in between (Troitsky, Rinck, Platov brothers, Kubbel, Kasparyan, etc..).
Back when I bought it in 2004 it contained 58000 chess endgame studies, but the most recent versions have most likely over 100k.

user12449: http://gorgonian.weebly.com/pgn.html
http://exeterchessclub.org.uk/downloads (in chessbase format)
Exeter has many other valuable resources.

user-1: Some large chess puzzle databases with links:

Free open source collection of 1,743,871 Problems at chessblunders.org, collected from more than 6 million games from professional tournaments.. They have an API for access to database. 
Taken from the website "wtharvey":

Mate in 2 
Mate in 3 
Mate in 4 

From the website "the art of mate in 2"

Nearly ~152000 puzzles in pgn format
You will also find four pgn files of ~ 500 puzzles made by "Argentine problemists"

Browsable collection of problems at "Yet another chess problems database". There are ~420000 problems. Not sure whether it can be downloaded programmatically. In the "About" page, you will find more links, some of which are broken.


15536: <p>Is there a database of chess probpems that have the game or positions PGN and or FEN?</p>
 20407: <p>If you don't mind playing on mobile, chesspuzzleblitz.com has a playable database and it lets you compete. </p>

<p>Also, chessbluders.org and www.yacpdb.org are great resources too. </p>
 32147: <p><a href="https://lichess.org/training" rel="nofollow noreferrer">https://lichess.org/training</a> it is a very good place for puzzles there are more than 2000000 in lichess you can download them from <a href="https://database.lichess.org/#puzzles" rel="nofollow noreferrer">https://database.lichess.org/#puzzles</a> and there are a lot of themes
ex:-</p>
<ul>
<li><a href="https://lichess.org/training/master" rel="nofollow noreferrer">Master Games</a></li>
<li><a href="https://lichess.org/training/mateIn1" rel="nofollow noreferrer">Mate in 1</a></li>
<li><a href="https://lichess.org/training/superGM" rel="nofollow noreferrer">Super GM games</a></li>
</ul>
 14778: <p>You can also buy Harold Van der Heidjen's endgame study database. It contains more or less all the endgame studies he could gather from the old classic (Saavedra, Ponziani etc..) to the most recent from every publications  and composing tournaments out there. And everything in between (Troitsky, Rinck, Platov brothers, Kubbel, Kasparyan, etc..).</p>

<p>Back when I bought it in 2004 it contained 58000 chess endgame studies, but the most recent versions have most likely over 100k.</p>
 12449: <p><a href="http://gorgonian.weebly.com/pgn.html" rel="noreferrer">http://gorgonian.weebly.com/pgn.html</a></p>

<p><a href="http://exeterchessclub.org.uk/downloads" rel="noreferrer">http://exeterchessclub.org.uk/downloads</a> (in chessbase format)</p>

<p>Exeter has many other valuable resources.</p>
 -1: <p>Some large chess puzzle databases with links:</p>

<ul>
<li><p>Free open source collection of 1,743,871 Problems at <a href="https://chessblunders.org/" rel="noreferrer">chessblunders.org</a>, collected from more than 6 million games from professional tournaments.. They have an API for access to database. </p></li>
<li><p>Taken from the website <a href="http://wtharvey.com/" rel="noreferrer">"wtharvey"</a>:</p>

<ul>
<li><a href="http://wtharvey.com/m8n2.txt" rel="noreferrer">Mate in 2</a> </li>
<li><a href="http://wtharvey.com/m8n3.txt" rel="noreferrer">Mate in 3</a> </li>
<li><a href="http://wtharvey.com/m8n4.txt" rel="noreferrer">Mate in 4</a> </li>
</ul></li>
<li><p>From the website "<a href="https://sites.google.com/site/edusadier/theartofdirectmateintwomoves" rel="noreferrer">the art of mate in 2</a>"</p>

<ul>
<li>Nearly ~<a href="https://sites.google.com/site/edusadier/home/Mate%20en%20Dos.zip?attredirects=0&amp;d=1" rel="noreferrer">152000 puzzles</a> in pgn format</li>
<li>You will also find four pgn files of ~ 500 puzzles made by "Argentine problemists"</li>
</ul></li>
<li><p>Browsable collection of problems at "<a href="http://www.yacpdb.org/#search/ODg4ODg4ODgvLy8vLy8vLy8vLy8vMS8xLzEvMA==/1" rel="noreferrer">Yet another chess problems database</a>". There are ~420000 problems. Not sure whether it can be downloaded programmatically. In the "<a href="http://www.yacpdb.org/#about" rel="noreferrer">About</a>" page, you will find more links, some of which are broken.</p></li>
</ul>
