I need to get a result set containing the first N positive integers. Is it possible to use only standard SQL SELECT statement to get them (without any count table provided)?
If you know that N is limited (and usually it is), you can use a construction such as:
select (a.digit + (10 * b.digit) + (100 * c.digit) + (1000 * d.digit) + (10000 * e.digit) + (100000 * f.digit)) as n
from (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as a
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as b
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as c
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as d
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as e
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as f;
which will generate the first million numbers. If you need only the positive numbers, simply add + 1 to the expression.
Note that in MySQL in particular, the results may not be sorted. You need to append order by n to the end if you need ordered numbers. This will increase the execution time dramatically, though (on my machine, it jumped up from 5 ms to 500 ms).
For simple queries, here's a query for just the first 10000 numbers:
select (a.digit + (10 * b.digit) + (100 * c.digit) + (1000 * d.digit)) as n
from (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as a
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as b
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as c
cross join (select 0 as digit union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) as d;
This answer is adapted from the following query that returns a date range: https://stackoverflow.com/a/2157776/2948