Most specific match using between - Mailing list pgsql-general

Hi people, is there a swtich or something to instruct a between statement
hat it must perform a most specific match ?
These are the details, i have these table

 name        | start        | end
---------------+---------------+-----------------
general     | 2660000  | 2669999
specific     | 2660124  | 2660124
(2 rows)


unsing the query:  select name where '2660124' between start and end

i got:


name
---------
general
specific


How can i get only specific?


thanks