[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Re: The next exercise
From: |
Michael Heerdegen |
Subject: |
Re: The next exercise |
Date: |
Fri, 16 Dec 2022 00:17:54 +0100 |
User-agent: |
Gnus/5.13 (Gnus v5.13) |
Emanuel Berg <incal@dataswamp.org> writes:
> > 2^2^43 - 1, right? What's it? It's too large to be the
> > largest known prime number, or I calculated wrong. I don't
> > know. Tell us.
At least I know now it's not a prime, since all integers of the form
2^2^n - 1 are divisible by 5.
> Hint 1: Start with (** 2 10) which is 1024.
> Hint 2: Think computers, not math ...
Is it some kind of Turing test? No, I'm not a computer, I swear.
Hmm, what might I think about it as a computer? 2^2^43-1 is binary
1 1 .....................1
\_______________________/
8 796 093 022 208 digits 1
so as a computer I would no doubt think, oh man, look at these
8 796 093 022 208 digits "1", I wounder what this is about - is it a
prime? But I already answered that. Hmm.
Still too mathematical maybe. Wait - it's the largest number a
calculator using 8 796 093 022 208 binary digits can express.
The horizontal checksum of this binary number is 2^43 - this is not some
kind of "the answer is 42" joke?
I'm not a good computer. I would obviously fail the inverse Turing test
(as a human pretending to be a computer).
Michael.
- Re: The next exercise, (continued)
- Re: The next exercise, Gregory Heytings, 2022/12/09
- Re: The next exercise, Michael Heerdegen, 2022/12/09
- Re: The next exercise, tomas, 2022/12/09
- Re: The next exercise, Gregory Heytings, 2022/12/09
- Re: The next exercise, Michael Heerdegen, 2022/12/09
- Re: The next exercise, Emanuel Berg, 2022/12/10
- Re: The next exercise, Michael Heerdegen, 2022/12/11
- Re: The next exercise, Emanuel Berg, 2022/12/15
- Re: The next exercise, Michael Heerdegen, 2022/12/15
- Re: The next exercise,
Michael Heerdegen <=
- Re: The next exercise, Michael Heerdegen, 2022/12/15
- Re: The next exercise, Emanuel Berg, 2022/12/17
- Re: The next exercise, Michael Heerdegen, 2022/12/17
- Re: The next exercise, Emanuel Berg, 2022/12/20
- Re: The next exercise, Andy Moreton, 2022/12/11
- Re: The next exercise, Michael Heerdegen, 2022/12/11
- Re: The next exercise, Emanuel Berg, 2022/12/15
- Re: The next exercise, Emanuel Berg, 2022/12/10
Re: The next exercise, Emanuel Berg, 2022/12/09