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

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The Egyptian fraction 1/6 + 1/10 + 1/14 + 1/15 + 1/21 + 1/22 + 1/26 + 1/33 + 1/34 + 1/35 + 1/38 + 1/39 + 1/46 + 1/51 + 1/55 + 1/57 + 1/58 + 1/62 + 1/65 + 1/69 + 1/77 + 1/82 + 1/85 + 1/86 + 1/87 + 1/91 + 1/93 + 1/95 + 1/115 + 1/119 + 1/123 + 1/133 + 1/155 + 1/187 + 1/203 + 1/209 + 1/215 + 1/221 + 1/247 + 1/265 + 1/287 + 1/299 + 1/319 + 1/323 + 1/391 + 1/689 + 1/731 + 1/901 = 1. Note that each denominator is semiprime. Found by ALLAN Wm. JOHNSON Jr. of Washington, D.C.

 

  Submitted: 2018-04-21 13:39:04;   Last Modified: 2018-04-21 13:56:20.



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