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2012-11-21, 23:29   #1
c10ck3r

Aug 2010
Kansas

547 Posts
On Fermat's Last Number

Quote:
 Originally Posted by rajula Batalov: with this speed you will factorize all the Fermat numbers before Christmas!
Yes, I'm sure Sergei will factorize all Fermat numbers, regardless of how long it takes to prove primality for the infinite number of infinitely large numbers...

2012-11-22, 08:12   #2
rajula

"Tapio Rajala"
Feb 2010
Finland

31510 Posts

Quote:
 Originally Posted by c10ck3r Yes, I'm sure Sergei will factorize all Fermat numbers, regardless of how long it takes to prove primality for the infinite number of infinitely large numbers...
Luckily there are zero infinitely large numbers.

2012-11-22, 14:45   #3
c10ck3r

Aug 2010
Kansas

10438 Posts

Quote:
 Originally Posted by rajula Luckily there are zero infinitely large numbers.
Ah. So, how many base 10 digits in the last Fermat number?

2012-11-22, 15:01   #4
rajula

"Tapio Rajala"
Feb 2010
Finland

13B16 Posts

Quote:
 Originally Posted by c10ck3r Ah. So, how many base 10 digits in the last Fermat number?
Any last Fermat number has 42 digits in base 10.

2012-11-22, 15:26   #5
c10ck3r

Aug 2010
Kansas

54710 Posts

Quote:
 Originally Posted by rajula Any last Fermat number has 42 digits in base 10.
Say what now? F24 is a composite of over 5,000,000 digits base 10.
5000000 != 42

 2012-11-22, 15:47 #6 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts Not a counter-example, c10ck3r, as F24 is not the or a last Fermat number.
 2012-11-23, 22:56 #7 c10ck3r     Aug 2010 Kansas 547 Posts Yes, but they continue to grow exponentially, no?
 2012-11-23, 23:22 #8 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts Yes, doubly-exponentially in the index, in fact!
 2012-11-23, 23:44 #9 c10ck3r     Aug 2010 Kansas 547 Posts so, 5050446*2^x> 42, when x>1
 2012-11-26, 12:07 #10 akruppa     "Nancy" Aug 2002 Alexandria 46438 Posts This is correct for every integer x > 1, but not for the last one.
 2012-11-28, 21:53 #11 aketilander     "Åke Tilander" Apr 2011 Sandviken, Sweden 2·283 Posts I think "42" is the answer to the question of the meaning of life and everything in The Hitchhiker's Guide to the Galaxy, maybe that's what rajula is referring to?

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