I know the consequences of Riemann Hypothesis which are used in Number theory and Analysis. But I want to know what could possibly be the Educational Outcomes of Riemann Hypothesis, if it is actually proven some day.

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    $\begingroup$ Hi. I cannot imagine that there would be any good answers to this particular question. Certainly any proof of the Riemann Hypothesis would generate a lot of novel mathematics, and there will be opportunities for skilled expositors to present this mathematics in ways which would be educational. However, I cannot imagine that there is some application of the Riemann Hypothesis to math education research. $\endgroup$ – Steven Gubkin Feb 12 '19 at 19:29

It is unlikely there would be any more consequences than to any other famous open problem being solved, which is to say, nothing direct.

Why would there be? Mathematics education does not use research mathematics as a methodological science. Maybe they sometimes use cutting edge statistical methods, though I would bet on basic statistical methods being far more popular. Would Riemann hypothesis open new avenues in statistics, especially elementary statistics?

Famous open problems have been solved before, without, as far as I know, significant educational outcomes.

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