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The prime p=197418203*2^25000-1 is a member of a set of three consecutive probable primes in arithmetic progression, since p-6090 is probably prime, all numbers between p-6090 and p are composite, all numbers between p and p+6090 are composite, and p+6090 is probably prime. As of January 2005, no larger set of three consecutive probable primes in arithmetic progression was known. A proof of the primality of p is given here. [Broadhurst]

 

  Submitted: 2005-01-23 15:27:09;   Last Modified: 2008-01-30 11:28:00.



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