Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

What is the integer solution to 42 = x^3 + y^3 + z^3 ?

3 Answers

Relevance
  • 2 years ago
    Favorite Answer

    Regarding:

    x³ + y³ + z³ = n

    In 2016, all of the numbers less than 100 that were not 4 or 5 mod 9 had solutions, apart from 33 and 42.

    Just recently a solution was found for n=33 by a number theorist in the UK, Andrew Booker.

    8,866,128,975,287,528³ + (-8,778,405,442,862,239)³ + (-2,736,111,468,807,040)³ = 33

    It had been conjectured, in 1992, that every n that was not equal to 4 or 5 mod 9 had infinitely many solutions but this is still an open question.

    As if this writing, a solution hasn't been found for 42, but again, according to the conjecture, there isn't just *the* solution, but infinitely many integer solutions.

  • ?
    Lv 7
    2 years ago

    42 = x^3 + y^3 + z^3

    No integer solution

Still have questions? Get your answers by asking now.