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The generalized repunit (6750651153 - 1)/675064 is prime.

A proof is possible because of the remarkable circumstance that, for b = 5*37*41*89 and p = 27*32+1, both Phi(p,b) and Phi(p-1, b) are prime, where Phi(n, x) is the nth cyclotomic polynomial in x. [Broadhurst]

 

  Submitted: 2000-10-28 11:27:09;   Last Modified: 2008-01-30 11:28:00.



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