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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Gaydos': (Click here to show all) The smallest positive integer that is never prime when followed by a string of ones, i.e., 371, 3711, 37111, 371111, ... are all composite numbers for any number of ones. [Gaydos]37 is the maximum sum of digits for a distinct digit cube (76^3, 289^3, and 319^3). It is also the maximum sum of digits for a distinct digit fourth power (44^4). [Gaydos]
(There are 2 curios for this number that have not yet been approved by an editor.)
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