The sum of the reciprocal of the square root of all the positive integers up to n is denoted by F(n), that is:
F(n) = 1+1/√2 + 1/√3 +...+ 1/√n
Determine the maximum value of n such that the integer part of the base ten expansion of F(n) DOES NOT exceed 2012.
*** For an extra challenge, solve this puzzle without using a computer program.
(In reply to re(2): computer solution
I agree that the computer calcultion evaluated the correct sum-
what I did is to get an approximated result without any external aid
(KS called it "an extra challenge").Apparently I came within 0.14 percent of the true value.
It took about a minute.