
Curios:
Curios Search:
Participate: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Single Curio View: (Seek other curios for this number) The generalized repunit (675065^{1153}  1)/675064 is prime. A proof is possible because of the remarkable circumstance that, for b = 5*37*41*89 and p = 2^{7}*3^{2}+1, both Phi(p,b) and Phi(p1, b) are prime, where Phi(n, x) is the n^{th} cyclotomic polynomial in x. [Broadhurst]
Submitted: 20001028 11:27:09; Last Modified: 20080130 11:28:00.
Prime Curios! © 20002019 (all rights
reserved)
privacy statement
