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: computer solution
by K Sengupta)
Now that it's been pointed out that the floor function is being used, the actual maximum n is now reported as 1,014,512:
Posted by Charlie
on 2012-03-16 16:57:55