Browsing Mathematics publications (MU) by Subject "Four (The number)"
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Squares from products of integers
(2006)Notice that 1_2_3_4+1 = 52 , 2_3_4_5+1 = 112 , 3_4_5_6+1 = 192 , . . . . Indeed, it is well known that the product of any four consecutive integers always differs by one from a perfect square. However, a little experimentation ...