You need to use a clause HAVING
to filter expressions containing aggregates.
If you use MySQL, you can use the column aliases in this section for other RDBMSs you cannot.
SELECT a.prim_id,
min(b.new_len * 36) as min_new_len,
max(b.new_len * 36) as max_new_len
FROM tb_first a
JOIN tb_second b
ON a.sec_id = b.sec_id
GROUP BY a.prim_id
HAVING min(b.new_len * 36) > 1900
AND max(b.new_len * 36) < 75000
ORDER BY avg(b.new_len * 36);
, . WHERE
, .
SELECT prim_id,
min_new_len,
max_new_len
from (SELECT a.prim_id,
min(b.new_len * 36) as min_new_len,
max(b.new_len * 36) as max_new_len,
avg(b.new_len * 36) as avg_new_len
FROM tb_first a
JOIN tb_second b
ON a.sec_id = b.sec_id
GROUP BY a.prim_id) derived
WHERE min_new_len > 1900
AND max_new_len < 75000
ORDER BY avg_new_len;