grep match only lines in a specified range

Use sed first:

sed -ne '1024,2048p' | grep ...

-n says don't print lines, 'x,y,p' says print lines x-y inclusive (overrides the -n)

sed -n '1024,2048{/error/{=;p}}' | paste - -

Here /error/ is a pattern to match and = prints the line number.