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

                                                    10 1968674518 1387262299
3745253351 6592081841 9060459517 1415042159 9411578155 7387067758 2331088589
0384264797 6704735296 2744352753 8823519138 7903761100 2019053156 5798894387
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The largest prime of the form 2# + 3# + 5# + ... + n# - 1 is for n = 379. The others are for n = 3, 5, 11, 13, 17, 19, 31, 43, 73, 179, 181, 191 and 373. Because the expression is divisible by 463 for n = 461, more primes are not possible. Curiously, SOD for n = 397 is 739. [Petrov]

 

  Submitted: 2019-04-05 05:23:33;   Last Modified: 2019-04-06 07:31:46.



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