SOLUTION: 2;5;8 prove that none of the terms of this sequence are perfect square

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Question 1072745: 2;5;8 prove that none of the terms of this sequence are perfect square
Answer by ikleyn(52794) About Me  (Show Source):
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This sequence is an arithmetic progression with the common difference of 3 and the first term 2.


When dividing by 3, all the terms of the progression give the remainder of 2.


No one perfect square gives the remainder 2 when is dividing by 3.

Proved.