mersenneforum.org Applications of factoring besides crypto?
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 2019-02-28, 23:25 #1 SALMONMILK   Feb 2019 116 Posts Applications of factoring besides crypto? Hi all, I am wondering if there are any uses for number factorization besides cryptography. I have been trying to research the answer for a long time and cannot seem to find anything besides cryptography. I am familiar with RSA and the other crypto schemes that are related on Wikipedia, but that is about it when it comes to factoring. I have come across a version of the fast-fourier transform (https://en.wikipedia.org/wiki/Prime-..._FFT_algorithm) that says prime factor in its name, but I do not have the knowledge to be able to understand what it does or means. Does it utilize number factorization? So really the main question: Are there any known applications for number factorization besides cryptography? Any information is greatly appreciated. I am just deeply curious and have been unable to find any information. Thanks so much
2019-03-01, 09:10   #2
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Quote:
 Originally Posted by SALMONMILK I have come across a version of the fast-fourier transform (https://en.wikipedia.org/wiki/Prime-..._FFT_algorithm) that says prime factor in its name, but I do not have the knowledge to be able to understand what it does or means. Does it utilize number factorization?
The classical FFT, which applies to data with a length of 2n exploits the (almost trivial) factorization to earn the subriquet "Fast" by dividing a range of data into two sub-ranges each half the size of the original. Similar approaches, though not as efficient, can exploit small prime factors, p, to divide the range into p portions, each 1/p the size of the original.

 2019-03-02, 17:26 #3 chris2be8     Sep 2009 2·33·5·7 Posts AFAIK it's main other use is mathematical research. Read the "Links to factoring projects" https://mersenneforum.org/showthread.php?t=9611 thread in this forum and follow the links to see what is being worked on now. Chris

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