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(504) 1

Part of 1996 Tournament Of Towns

Problems(1)

TOT 504 1996 Autumn J O1 10 consecutives with sum of squares

Source:

8/16/2024
Do there exist 1010 consecutive positive integers such that the sum of their squares is equal to the sum of squares of the next 99 integers?
(Inspired by a diagram in an old text book)
number theoryconsecutivealgebraSum of Squares