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 ...

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The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

https://doi.org/10.4169/amer.math.monthly.121.03.229 https://www.jstor.org/stable/10.4169/amer.math.monthly.121.03.229 Abstract We first present the corrected ...

For anyone fascinated by powers and integers, there’s no shortage of problems to tackle, whether by ingenious logic or massive computer search. In 1769, while thinking about the problem now known as ...

“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

WHILE Paul Nahin is not the first to proclaim the power and beauty of mathematics, few have alluded to the “erotic connection between mathematical insight and sexual orgasm”. A stretch too far, ...