Math Is Good For You

in math •  7 years ago 

(From AIME 1985)
The numbers in the sequence 101, 104, 109, 116, ...
are of the form: 100 + n^2, where n = 1, 2, 3, 4, ...
Let Dn be the greatest common divisor (GCD) of any 2 consecutive terms.
As n ranges through the positive integers, find the MAXIMUM value of Dn.

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