Fermat Number -- from Wolfram MathWorld
https://mathworld.wolfram.com › F...The smallest factors of the Fermat numbers are 5, 17, 257, 65537, 641, 274177, 59649589127497217, 1238926361552897, 2424833, ... (OEIS A093179), while the ...
Integer factorization calculator
https://www.alpertron.com.ar/ECM.HTM24.10.2021 · Apart from the points shown above, we use another point, named O, or point at infinity. Using complex formulas, we can define a sum of points. In this way a point (x 3, y 3) that belongs to the mentioned curve can be the sum of other points (x 1, y 1) and (x 2, y 2) that also belong to the curve.A point (x, y) can be added to itself several times, obtaining a new point (x …
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 k + 1 is prime and k > 0, then k must be a power of 2, so 2 k + 1 is a Fermat number; …
Integer factorization - Wikipedia
https://en.wikipedia.org/wiki/Integer_factorizationIn number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.. When the numbers are sufficiently large, no efficient, non-quantum integer factorization algorithm is known. However, it has not been proven that no efficient …