Factoring Number Theory Math
Sierpinski proved there exist infinitely many odd integers k such that k*2^n+1 is composite for every n. Ray Ballinger coordinates a search to prove or disprove whether k=78557 is the smallest solution.
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Factoring
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- Factorizations of Near-repdigit Numbers - Factorizations of numbers composed of all the same factoring digit except first and/or last.
- Known Amicable Pairs - A listing of all the known pairs of numbers, each of which is the sum of the aliquot divisors of the other. Complete for smaller numbers, and extending beyond 200 digits.
- The XYYXF Project - A collaborative project to produce the factorizations of x^y + factoring y^x for 1<y<x<101.
- FactorWorld - Dedicated to algorithms and computational results on integer factorization. Includes math links to papers, downloadable software, and online resources.
- The Factor Zone - Aimed at grade school students and teachers, includes course guidelines, number theory worksheets, and factor tables up to 600.
- I Love Binary, Primes, and Factors - Divisibility, primes and binary numbers.
- Factorization of RSA-155 - Announcement of factorization of a 512-bit RSA key number theory using the General Number Field Sieve (GNFS).
- Factoring Papers - Links to papers on the theory and practice factoring of factoring.
- Integer Factorization - Paul Leyland\'s list of his own and other number theory factorisations.
- Factoris - Online calculator that factorizes large numbers, specified by formula.
- Factorization Using the Elliptic Curve Method - Java applet that can be used to find 20- or math 30-digit factors of numbers or numerical expressions up to 1000 math digits long. It also computes the number and sum of math divisors, the Euler\\'s totient and moebius functions, and the decomposition math of the number in a s
- RSA Laboratories Factoring Challenge - Numbers representative of those used in the RSA math cryptosystem are number theory offered for factor attempts with prizes. math A Partition List challenge number theory is also provided in math order to encourage work on factoring number theory in general.
- Sierpinski Problem - Sierpinski proved there exist infinitely many odd integers math k such number theory that k*2^n+1 is composite for every math n. Ray Ballinger coordinates number theory a search to prove math or disprove whether k=78557 is the number theory smallest solution.
- Factoring Fermat Numbers - Cash prizes for new factors of Fermat numbers Fn, for n = 12 through 22.
- Fermat Search - Leonid Durman's Fermat number factoring site and program.
- Discovery of a Lost Factoring Machine - Built by a French amateur, E.-O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper.
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