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Summing inverses II (Posted on 2012-03-16) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Hints/TipsHintK Sengupta2012-03-19 02:39:43
re: solution YOUR ACCURACY IS MUCH BETTER:Ady TZIDON2012-03-17 15:05:20
SolutionsolutionDej Mar2012-03-17 13:47:03
Some Thoughtsre(3): computer solutionAdy TZIDON2012-03-17 03:18:45
Now I've seen how it's done...broll2012-03-17 02:11:19
re(3): computer solution- my accuracyCharlie2012-03-17 00:34:05
re(2): computer solution- my accuracyAdy TZIDON2012-03-16 19:41:15
Solutionre(2): computer solutionCharlie2012-03-16 16:57:55
Some ThoughtsMy approximationAdy TZIDON2012-03-16 14:37:00
re: computer solutionK Sengupta2012-03-16 14:18:30
Solutioncomputer solutionCharlie2012-03-16 12:46:14
a trybroll2012-03-16 12:13:40
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