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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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Solution extending the limit to 1700 (spoiler) | Comment 2 of 8 |
(In reply to computer solution (spoiler) by Charlie)

 1 3 8 120
 1 3 120 1680
 1 8 15 528
 1 15 24 1520
 2 4 12 420
 3 5 16 1008

  Posted by Charlie on 2016-12-04 11:05:42
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