Other Interesting Facts
A Fermat number cannot be a perfect number or part of a pair of amicable numbers. (Luca 2000)
The series of reciprocals of all prime divisors of Fermat numbers is convergent. (Křížek, Luca & Somer 2002)
If nn + 1 is prime, there exists an integer m such that n = 22m. The equation nn + 1 = F(2m+m) holds at that time.
Let the largest prime factor of Fermat number Fn be P(Fn). Then,
- (Grytczuk, Luca & Wojtowicz 2001)
Read more about this topic: Fermat Number
Famous quotes containing the words interesting and/or facts:
“... governing is occupying but not interesting, governments are occupying but not interesting ...”
—Gertrude Stein (1874–1946)
“Now what I want is facts. Teach these boys and girls nothing but facts. Facts alone are wanted in life. Plant nothing else and root out everything else. You can only form the minds of reasoning animals upon Facts: nothing else will ever be of any service to them.”
—Charles Dickens (1812–1870)