**Problem 245**(View Problem)

I have a question about precision. I have discovered what I believe to be almost all of the answers (my formulas are confirmed with brute force testing up to 5*10^8). However, the answer still isn't correct.

No problem, these things happen, and clearly I've missed something. My question, however, is on what precision is required, as this is what I'm most likely to have missed. For instance:

36844927487 has a totient value of 33774516864

The fraction as given in the problem comes VERY close to giving a unit fraction (the denominator is 12.000000003).

Should numbers like this be considered a hit? Currently I am not counting them, but if this is the issue, it could explain my missing findings.

I can also give a list of how many numbers I've found which are products of N primes. That is to say, xxxx numbers consistenting of 2 primes, xxx of 3 primes, etc., but I don't want to put any spoilers out there.