Win a million dollars with maths | Matt Parker introduces the Millennium Prize Problems | Science | guardian.co.uk: "Goldbach said in a letter to his friend Euler that it looks like all even numbers are the sum of two prime numbers. In the two and a half centuries since, no one has found a single even number that cannot be written as the sum of two prime numbers.
For every number you check, there is always a bigger one that could fail the test. A variation of Fermat's Last Theorem that looked certain to be true, failed on the number 61,917,364,224."
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