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Topic: Chapt2 summary of seven proofs that 10^603 is Infinity border
#1130 Correcting Math 3rd ed

Replies: 25   Last Post: Nov 20, 2011 9:05 PM

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 Transfer Principle Posts: 330 Registered: 9/4/11
Re: Chapt2 summary of seven proofs that 10^603 is Infinity border
#1141 Correcting Math 3rd ed

Posted: Nov 13, 2011 9:31 PM

On Nov 13, 12:08 pm, Archimedes Plutonium
<plutonium.archime...@gmail.com> wrote:
> Transfer P. can you do me a favor and have your computer see if
> 71828..7301 is prime where
> we deleted the prefix digit of "2" since we would have larger than
> 1*10^603 with the "2".

Trial division reveals 3^2 and 283 as factors of floor((e-2)*10^603).

> And see if 271828..73 is prime?

Trial division reveals eleven and 5019491 as factors of
floor(e*10^601).

> I wonder if Wolfram has the same sort of set up for that of phi

It does:

http://mathworld.wolfram.com/Phi-Prime.html

> see if phi at 10^603 is prime 1.618..861

Trial division reveals 34327 as a factor of floor(phi*10^603).

According to Wolfram, the largest known phi-prime has only 280
digits -- i.e., floor(phi*10^279). The next phi-prime, if it
exists, must be larger than 10^32871.