Why Riemann hypothesis and not Riemann's conjecture

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I have a stupid question. We say Erdös's conjecture, Goldbach's conjecture, Beal's conjecture... and so on. But we don't say 'Riemann's conjecture.' Instead we use the word 'hypothesis'. Why?

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There is an interchangeability, but one assumes hypothesis is more formal than a conjecture.

See here for a better treatment of this question, by a mathematician.