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

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In "A Density Version of the Vinogradov Three Prime Theorem" Xuancheng Shao proves that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the sum of three primes in A. The constant 5/8 in this statement is the best possible. [Post]

 

  Submitted: 2012-06-27 22:20:12;   Last Modified: 2018-12-26 09:02:46.



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