Factoring 10^444 + 4
 

Today I completed the factorization of 10^444 + 4.
I found the following prime factors:

2^2

17

41

648269

1422240662685385533792913

20679878924533703906795013516442141133980321472760984292276205159041846798428398959388708157483404319219721565768462839414356019526883421753517156359111998234185558245048581958366572201863984502881

18811823411607700191003967827417623119339686938902094579903577365448527107592982422345075134234587727038485867899839380889347011134229169921895942850282453884978266136057867275738327385849949597481533279488878243069


Because of the last two factors (P197 and P215) I'm sure to get a good placing in several ranking lists... :whistle:

10[sup]444[/sup] + 4 = (10[sup]222[/sup] - 2*10[sup]111[/sup] + 2) (10[sup]222[/sup] + 2*10[sup]111[/sup] + 2).