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:
“My experience of ships is that on them one makes an interesting discovery about the world. One finds one can do without it completely.”
—Malcolm Bradbury (b. 1932)
“But lest I should mislead any when I have my own head and obey my whims, let me remind the reader that I am only an experimenter. Do not set the least value on what I do, or the least discredit on what I do not, as if I pretended to settle any thing as true or false. I unsettle all things. No facts are to me sacred; none are profane; I simply experiment, an endless seeker with no Past at my back.”
—Ralph Waldo Emerson (1803–1882)