perplexus.info :: Just Math : Interesting Function

Interesting Function (Posted on 2004-08-28)

Given: f is a function with domain and range of the positive integers, and f satisfies these two conditions:

(1) f(n+1) > f(n); that is, f is strictly increasing, and

(2) f(n+f(m)) = f(n)+m+1

Find all possible values of f(2004)

See The Solution Submitted by SilverKnight

Rating: 4.3333 (6 votes)

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answer

| Comment 2 of 3 |

The only possible value of f(2004) is 2005.

Posted by K Sengupta on 2007-12-07 06:12:25

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