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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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There are at least 1051 cases in which the nth Honaker prime has the same number of digits as the nth square. The smallest are 4397 and 1024 (32^2). The largest known are 1066157 and 9998244 (3162^2). Could there possibly be more? [Gaydos]

 

  Submitted: 2018-05-05 00:01:37;   Last Modified: 2018-05-05 05:18:53.



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