No, but (depending on how you define "close") I'll bet I can get you close to the 41st key.  Specifically, I'm nearly certain that I can find you a formula that will result in a value that is less than 2^n-1 * 0.5 (which I think would be 2^n-2) away from the actual private key.  So for the 41st key I can get you a value that will be within 2³⁹ of the actual key (with a 50% chance that my value is actually within 2³⁸ and a 25% chance that my value is within 2³⁷).

While I'm being truthful here, those who are aware of the ranges that the random numbers fall between will probably notice the obviousness in my statement.