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Four integers (Posted on 2016-12-04) Difficulty: 3 of 5
Find four distinct positive integers such that:
a. Each of them is below 500.
b. Multiplying any two of them and then incrementing the product by 1
produces a square number.

No Solution Yet Submitted by Ady TZIDON    
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Master of the obvious | Comment 3 of 8 |
Same answer if the word "distinct" is removed from the problem.  There are no solutions where the integers are not distinct, because a*b + 1 is not square if a = b.
  Posted by Steve Herman on 2016-12-04 12:03:45
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