The Prime Glossary: Fermat number
primes.utm.edu › glossary › pageThe only known Fermat primes are the first five Fermat numbers: F 0 =3, F 1 =5, F 2 =17, F 3 =257, and F 4 =65537. A simple heuristic shows that it is likely that these are the only Fermat primes (though many folks like Eisenstein thought otherwise). In 1732 Euler discovered 641 divides F 5.
Fermat Number -- from Wolfram MathWorld
https://mathworld.wolfram.com/FermatNumber.htmlThe first few for , 1, 2, ... are 3, 5, 17, 257, 65537, 4294967297, ... (OEIS A000215 ). The number of digits for a Fermat number is (1) (2) (3) For , 1, ..., the numbers of digits in are therefore 1, 1, 2, 3, 5, 10, 20, 39, 78, 155, 309, 617, 1234, ... (OEIS A057755 ).
Fermat Number -- from Wolfram MathWorld
mathworld.wolfram.com › FermatNumberThere are two definitions of the Fermat number. The less common is a number of the form 2^n+1 obtained by setting x=1 in a Fermat polynomial, the first few of which are 3, 5, 9, 17, 33, ... (OEIS A000051). The much more commonly encountered Fermat numbers are a special case, given by the binomial number of the form F_n=2^(2^n)+1.
Fermat number - Wikipedia
https://en.wikipedia.org/wiki/Fermat_numberIn mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form where n is a non-negative integer. The first few Fermat numbers are: 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, ... (sequence A000215 in the OEIS).If 2 + 1 is primeand k > 0, then k must be a power of 2, so 2 + 1 is a Fermat number; such primes …
What is the first Fermat number? – Colors-NewYork.com
https://colors-newyork.com/what-is-the-first-fermat-numberWhat is the first Fermat number? The first few Fermat numbers are: 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, (sequence A000215 in the OEIS). Why is Fermat famous? Pierre de Fermat, (born August 17, 1601, Beaumont-de-Lomagne, France—died January 12, 1665, Castres), French mathematician who is often called the founder of the modern theory of …