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Mathematics

Mathematicians crack elusive puzzle involving the number 42

By Donna Lu

6 September 2019

Sunloungers with number 42 on them

Can three cubed numbers be added up to give 42? Until now, we didn’t know

Giorgio Pasini/EyeEm/Getty

It might not tell us the meaning of life, the universe, and everything, but mathematicians have cracked an elusive problem involving the number 42.

Since the 1950s, mathematicians have been puzzling over whether any integer – or whole number – can be represented as the sum of three cubed numbers.

Put another way: are there integers k, x, y and z such that k = x3 + y3 + z3 for each possible value of k?

Andrew Booker at Bristol University, UK, and Andrew Sutherland…

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