Saturday, September 14, 2019

abstract algebra - Why is n1sqrt2+n2sqrt3+n3sqrt5+n4sqrt7 never zero?

Here ni are integral numbers, and not all of them are zero.



It is natural to conjecture that similar statement holds for even more prime numbers. Namely,



n12+n23+n35+n47+n511+n613 is never zero too.



I am asking because this is used in some numerical algorithm in physics

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