The book is now available! 472393
(just those submitted by Hartley)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

Just showing those entries submitted by 'Hartley': (Click here to show all)

+ If a number can be written both as 2a2 + 1 and as 3b3 + 1, it must be of the form 648k6 + 1. The smallest prime of this form is not only 472393, where k = 3, but curiously k = 4 and k = 5 also. [Hartley]

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