I ran your program until 5000 without problem (at which point I killed it).
Win2k, 512MB of RAM, ActivePerl v5.6.1.
I even made sure no line numbers were skipped:
>perl 453725.pl > !
^C
>perl -e "printf """Number of lines: %s\n""", $_ for 2..5000" > @
>fc ! @
Comparing files ! and @
FC: no differences encountered
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