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Getting The Bases With 2007? (Posted on 2007-09-09)

Does there exist any positive integer base N ≥ 8 such that 2007 is a perfect cube?

See The Solution Submitted by K Sengupta

Rating: 3.0000 (1 votes)

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Hint

| Comment 1 of 4

By the problem, 2*N^3 + 7 = y^3, for some integer y.

Think about what will happen if both sides of the above equation
are reduced modulo 7.

Posted by K Sengupta on 2007-09-10 09:45:03

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