Artificial intelligent assistant

Computing Chi-Square p-value with large degree of freedom (df). I'm using a Chi-square test on a large set of data points, so my degrees of freedom is rather large. So far, none of the online tables I've been able to find have options for $4095$ degrees of freedom. Is a chi-square test still applicable with this large of a dataset? Is there some way to find the p-value for $d.f. = 4065$?

Thanks to Bartek's answer I realized the results are still applicable, but I'd need to compute the p-values myself for different significance levels. I'll just hard-code these for my usage.

Here are my results. If anyone notices an error in them please point them out.

For $d.f.=4095$:

\begin{array}{|c|c|} \hline \texttt{Significant} & X^2 \\\ \hline .99 & 3887.41 \\\ \hline .95 & 3947.29 \\\ \hline .90 & 3979.46 \\\ \hline .75 & 4033.60 \\\ \hline .50 & 4094.33 \\\ \hline .25 & 4155.67 \\\ \hline .10 & 4211.40 \\\ \hline .05 & 4244.99 \\\ \hline .025 & 4274.26 \\\ \hline .01 & 4308.47 \\\ \hline \end{array}

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