greater than vs between in where clause - Mailing list pgsql-general

May i know if there is a difference in speed between 1 ,2 and 3 below , if column start_date is indexed

1.  select * from table_1 where start_date > '1 Oct 2020'

2. select   * from table_1 where start_date between '1 Oct 2020' and now()

3. select * from table_1 where start_date between '1 Oct 2020' and '5 Nov 2020 23:59:59'