The book is now available! 25475...67041 (6716-digits)
(another Prime Pages' Curiosity)
Prime Curios!
Curios: Curios Search:

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

Single Curio View:   (Seek other curios for this number)


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.

Prime Curios! © 2000-2019 (all rights reserved)  privacy statement