You could be lazy and (ab)use File::Temp:

#!/usr/bin/perl
use strict;
use warnings;
use POSIX      ();
use File::Temp ();

my $log = File::Temp->new(
    UNLINK   => 0,
    DIR      => '/the/path/to/your/log/folder/',
    # isn't this too fancy?! you don't need "nice" file names* ;-)
    TEMPLATE => POSIX::strftime( 'simplebr_%Y%m%d%H%M%S_XXXX', localti
+me ),
    SUFFIX   => '.txt',
);
print $log 'foo bar';
close $log;
[download]

* I guess your "logs" folder is in fact some kind of (very) poor man's queue. If this is correct, you don't want to *sort* those files on a file name basis because it would be too slow, better use whatever your underlying OS offers you for watching a folder (e.g. Sys::Gamin, Linux::Inotify, SGI::FAM, Win32::ChangeNotify). Anyway, you'll have to take some solid countermeasures in order to avoid trashing your disk. ;-)

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