Factoring 10^444 + 4

Yamato · 2005-09-28, 18:23

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...

geoff · 2005-09-28, 18:44

10⁴⁴⁴ + 4 = (10²²² - 2*10¹¹¹ + 2) (10²²² + 2*10¹¹¹ + 2).

2005-09-28, 18:23	#1
Yamato Sep 2005 Berlin 66₁₀ Posts	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...

2005-09-28, 18:44	#2
geoff Mar 2003 New Zealand 13·89 Posts	10⁴⁴⁴ + 4 = (10²²² - 210¹¹¹ + 2) (10²²² + 210¹¹¹ + 2).