perplexus.info :: Numbers : Prime Test (2)

Prime Test (2) (Posted on 2011-05-08)

Let S be the cube of a prime number, such that S is greater than 504.

Prove that (S-125)(S+125) is evenly divisible by 504.

Submitted by broll

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Solution: (Hide)

See the solution to Prime Test(3) for a full explanation as to why this 'works'.

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