Hi,
This doesn't much has to do with perl but with Apache’s configuration. You should check more on Apache side and play with the tunings or maybe use FastCGI.
There is also a module CGI::Inspect for debugging a running perl web application.

In reply to Re: output to STDERR/warn hangs Perl under Apache at ~64,800 bytes by cord-bin
in thread output to STDERR/warn hangs Perl under Apache at ~64,800 bytes by RockyMtn

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