2008 HMMT November Guts Round Problem 36

How many numbers less than 1{,}000{,}000 are the product of exactly 2 distinct primes? You will receive \lfloor 25 - 50 \cdot |\frac{N}{A} - 1| \rfloor points, if you submit N and the correct answer is A.

Answers are checked by value, so any equivalent form is accepted: 1/2, \frac{1}{2} and 0.5 all count as the same answer.

Full credit goes to HMMT for authoring these problems. This problem is from the November 2008 contest; the official solution is available on the HMMT archive. HMMT is not affiliated with or endorsing TopsOJ in any way.