Brain Teasers
Integers of a Feather
In the finite set of integers 1 through 50000000, the following six integers share a characteristic that no other integers in the set share. What is the characteristic?
1, 36, 1225, 41616, 1413721, 48024900
1, 36, 1225, 41616, 1413721, 48024900
Answer
They are the only triangle numbers that are also squares of whole numbers.1 = 1^2
36 = 6^2
1225 = 35^2
41616 = 204^2
1413721 = 1189^2
48024900 = 6930^2
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