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2017-11-08 17:39:50 +01:00
It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square.
`9 = 7 + 2 * 1^2`
`15 = 7 + 2 * 2^2`
`21 = 3 + 2 * 3^2`
`25 = 7 + 2 * 3^2`
`27 = 19 + 2 * 2^2`
`33 = 31 + 2 * 1^2`
It turns out that the conjecture was false.
What is the smallest odd composite that cannot be written as the sum of a prime and twice a square?