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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 'Bergot': (Click here to show all)

+ Let c = 2^a * 3^b with a,b>0 and prime p with p^n, n>1, c-p^k=prime. Is prime=23 the most common? E.g., 48-25=23, 72-49=23, 144-121=23, 192-169=23, 648-625=23, etc. [Bergot]

+ Square 23 to get 529, square 529 to get 279841. Notice that the last three digits (841) equals 29^2, providing 29 as the next prime after 23. [Bergot]

(There are 3 curios for this number that have not yet been approved by an editor.)




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