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The usually quiet world of mathematics is abuzz with a claim that one of the most important problems in number theory has been solved. Mathematician Shinichi Mochizuki of Kyoto University in Japan has ...

I. The 1859 paper “On the Number of Prime Numbers Less Than a Given Quantity” was Bernhard Riemann’s only publication on number theory, and the only one of his productions that contained no ...

IN the published correspondence of Euler there is a note from him to Goldbach, or, the other way, from Goldbach to Euler, in which a very wonderful theorem is stated which has never been proved by ...