Maybe the easiest way is to count the lines on your own? 
perl -ne 'BEGIN {our $n=1; $/="";}; print "=Line:$n, Record:$.==\n$_";
+ $n += y/\n/\n/;'< textfile

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Update: Oops, missed something when doing the test. Code above corrected. This was formerly
perl -ne '$/=""; $F{1} += y/\n/\n/ -1; print "=Line:",$F{1},", Record: $.==\n$_==\n"; ' < textfile
Sorry for that.

In reply to Re: Number Line while reading by chunks by Perlbotics
in thread Number Line while reading by chunks by ambs

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