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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 'Luhn': (Click here to show all) 506239841 {+0, +2, +6, +8} and 5062213991 {+0, +2, +6, +8} are prime. Note the first prime in each 4tuplet share the first 4 digits (5062). If you add 4 to 506239841 and divide by 15 it equals 33749323, then 33749323 {2, +0, +4, +6} along with 33749323 x 15 {4, 2, +2, +4} are all prime. [Luhn]
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