The comment made by @Solarflare is on point, i.e. you need to join your relation with another one that has at least 5 rows.
You need to first create a dummy table of 2**N rows with column id and integer values 1, 2, 3, ... 2**N. The following would, for example, create a table of 2**20 rows (see this):
set @i = 0;
drop TEMPORARY table if exists dummyids;
create TEMPORARY table dummyids
    select @i := @i + 1 as id
    from (select true union all select true) t0
    join (select true union all select true) t1
    join (select true union all select true) t2
    join (select true union all select true) t3
    join (select true union all select true) t4
    join (select true union all select true) t5
    join (select true union all select true) t6
    join (select true union all select true) t7
    join (select true union all select true) t8
    join (select true union all select true) t9
    join (select true union all select true) t10
    join (select true union all select true) t11
    join (select true union all select true) t12
    join (select true union all select true) t13
    join (select true union all select true) t14
    join (select true union all select true) t15
    join (select true union all select true) t16
    join (select true union all select true) t17
    join (select true union all select true) t18
    join (select true union all select true) t19
;
select * from dummyids;
Since you only need 5 rows, let's create a table of 8 rows:
set @i = 0;
drop TEMPORARY table if exists dummyids;
create TEMPORARY table dummyids
    select @i := @i + 1 as id
    from (select true union all select true) t0
    join (select true union all select true) t1
    join (select true union all select true) t2
;
select * from dummyids;
Now all you need to do is join your original relation with another relation that has at least 5 rows (which we have conveniently created above):
SELECT 'A' a, @nr:=@nr+1 AS c
FROM (SELECT @nr:=0) r join dummyids
WHERE @nr < 5;
Now I recognize you could have taken the numbers directly from the dummyids table:
SELECT 'A' a, dummyids.id c
FROM dummyids
WHERE id <= 5
ORDER BY id;
But I wanted to show a technique that could be used when you are using MySql variables in a more complicated way.