New cyclotomic factorisations?

[Drdmitry]

Originally Posted by chris2be8

@Drdmitry, do you have a program or sample code to find factors of k*x^n+/-c numbers? I'm running a script that goes through composite numbers in factordb and adds algebraic factors factordb doesn't know of.

I do all cases of x^n+/-1 (aided by cyclo from http://myfactors.mooo.com/) and cases based on x^4n+4. Code to find factors of other cases such as those mentioned in your paper would be much appreciated.

A few random examples from factordb:

(2^6641+164851)/282543099
(10^2010*96+48241)/7605585604532904186851
(2^6641+165859)/266786301
(14438^482+1)/504187357817065
(((((((((((((((2^6900*1401+1)/202127314336553+1)/90-1)/3946751904+1)/1221828-1)/30-1)/1439676372+1)/4+1)/23994+1)/234-1)/20+1)/1848-1)/15227632858125752880-1)/25220-1)/2-1)/225100232050

There are quite a lot like the last number, but I doubt they can be factored.

No, I do not. Sorry.