user23777: I was wondering how many queens can be put on boards without the position being a forced checkmate or a forced stalemate. The best I came up with is 53 this position.
[FEN "QQQQQRK1/QQQQQPr1/QQQQQRNk/QQQQQQpB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ w - - 0 1"]

Is there a way to fit 54 or more queens, given the constraints)? And if not, how would one show that more queens cannot be placed?

user21817: 57 Queens:
[FEN "QQQQQB1k/QQQQQ1bq/QQQQQQKB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ b - - 0 1"]

(edited FEN, White to move).
(2edited, thanks Noam D. Elkies)

23777: <p>I was wondering how many queens can be put on boards without the position being a forced checkmate or a forced stalemate. The best I came up with is 53 this position.</p>
<pre><code>[FEN &quot;QQQQQRK1/QQQQQPr1/QQQQQRNk/QQQQQQpB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ w - - 0 1&quot;]
</code></pre>
<p>Is there a way to fit 54 or more queens, given the constraints)? And if not, how would one show that more queens cannot be placed?</p>
 21817: <p>57 Queens:</p>

<pre><code>[FEN "QQQQQB1k/QQQQQ1bq/QQQQQQKB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ b - - 0 1"]
</code></pre>

<p>(edited FEN, White to move).<br>
(2edited, thanks <a href="https://chess.stackexchange.com/users/8860/noam-d-elkies">Noam D. Elkies</a>)</p>
