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
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