Open question: Can the sum of the first k primes produce cubes?

Posted on June 30, 2012 by

Open question: Can the sum of the first k primes produce cubes?.

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About benvitalis

math grad - Interest: Number theory
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3 Responses to Open question: Can the sum of the first k primes produce cubes?

  1. Pradeep says:
    July 23, 2012 at 10:14 pm

    no.. a sum of prime numbers can not equal a cube..
    If it did then Fermat’s theorem (e.g. no three whole numbers a,b,c exist such that a^3 + b^3 = c^3) is disproved… since c^3 – b^3 is always a sum of primes.

    Reply
  2. benvitalis says:
    July 23, 2012 at 10:31 pm

    Yes, indeed. Glad you caught your error

    Reply

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