Integer Factorizations And (Cyclotomic) Polynomials

by Alfred Reich

June 25, 2009


Factorizations of numbers of shape 100^n + 3·10^n + 43 with n ≤ 100

Let P(X) := X^2 + X + 41 (Euler's polynomial).
Substituting X := 10^n + 1, we get the series 100^n + 3·10^n + 43.
Factorization results are listed in EulerTenPlus.html (May 29, 2009).
Contributions are welcome.
Please send new factors (which are likely to have at least 25 digits) to Alfred Reich.


Factorizations of numbers of shape 2009^n ± 1

In 2009, I try to factor some of these numbers. Results are listed in Phin2009.html (Jun 23, 2009). Contributions are welcome. Please send new factors (which are likely to have at least 30 digits) to Alfred Reich.


Factorizations of numbers of shape 10^n+1 with n ≤ 12000

In the past, this site collected factors of numbers of shape 10^n+1 (with n up to 12000). Kurt Beschorner and Alban Nonymous contributed a lot of new factors. The result of our efforts is summarized in TenPlus.html (Jun 23, 2009). Additionally, this file contains annotations on the name of the finder of some factors (at the best of my knowledge).

If you are interested in numbers with larger exponents or in numbers of shape 10^n-1, you should look at Makoto Kamada's very frequently updated list Phin10.txt.


Old

News200906.html collects factors (found in June 2009).
News200905.html collects factors (found in May 2009).
News200904.html collects factors (found in April 2009).
News200903.html collects factors (found in March 2009).
News200902.html collects factors (found in February 2009).
News200901.html collects factors (found in January 2009).
News200812.html collects factors (found in December 2008).


Related Tables and Pages


Maintained by Alfred Reich.