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Up to 35 (Posted on 2004-11-14) Difficulty: 3 of 5
S is a set of N distinct positive integers such that no member of S has a prime factor greater than 35. Let P be the set of products of members of S taken 2 at a time. (For example, if x, y and z are members of S, then xy, xz and yz will be members of P.)

What is the smallest value of N for which it is certain that P contains a perfect square?

See The Solution Submitted by Brian Smith    
Rating: 3.5000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2007-12-23 12:09:29
I'm convincedSteve Herman2004-11-15 08:04:54
Scaled Down VersionRichard2004-11-15 00:35:56
SolutionI agree with Charlie and here is why.owl2004-11-14 11:49:51
Hints/TipsAm I seeing all the possibilities? (solution, if I am)Charlie2004-11-14 11:39:09
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