Posted by **sanji** on Wednesday, May 8, 2013 at 6:51am.

Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w in a set of the same color such that x+y+z=w.

Details and assumptions:

The phrase not necessarily distinct means that the integers can be repeated. For example, if 1,2,4 are all colored red, then we have 1+1+2=4 which would satisfy the condition.

- geometry!!! please help me!!!! -
**a**, Wednesday, May 8, 2013 at 12:54pm
345

- geometry!!! please help me!!!! -
**Sambaran G.**, Thursday, May 9, 2013 at 9:57am
wrong

- geometry!!! please help me!!!! -
**Sambaran G.**, Saturday, May 11, 2013 at 7:22am
help please

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