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Can humans say the largest prime number before we find the next one?

saytheprime.com

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Re: Can humans say the largest prime number before we find the next one?

#51
post #22

Are they going to verify that everyone said their sequence correctly? It would be a silly and pointless prank to derail the effort by omitting a number on purpose, but this is the internet... Or maybe it's just the 'coming together' aspect that we're going for anyway, in which case, it doesn't matter :)

Maybe they could run it through Whisper on Groq? It should be able to process individual clips in about a second.

Except that:

>We're aware it's likely that if you're reading out a long string of digits like this, you're likely to slip up or say a wrong digit. Mistakes are a very human feature, but as long as you correct it and carry on, they're fine - we just need evidence of humans having said the whole prime, not necessarily in one go. You can watch your video back through before submitting to check it's ok. If you want to edit together multiple clips to make your video, that's also fine!

So they need the some degree of semantic understanding to recognize corrections, in the various forms they can take. Speech to text alone is insufficient.

Re: Can humans say the largest prime number before we find the next one?

#53
post #47
post #45

Earlier quoted context omitted.

Plus, the (known) large ones are all of a nice enough pattern that you could almost factor just by looking at the digit count of the product.

Or by finding them in one of the lists of largest known primes. :-)

Yes, sorry, the implicit assumption I accidentally left in my head is that when we're talking about factoring being important, it's products of 2 biggish primes (hence an answer one step removed from the lists of largest known primes).

Re: Can humans say the largest prime number before we find the next one?

#55

Earlier quoted context omitted.

Youtube has more than that uploaded every single day.

YouTube has on average close to 4 million video uploads per day

And still can’t recommend me anything interesting outside of my chamber.

Re: Can humans say the largest prime number before we find the next one?

#56

Earlier quoted context omitted.

Youtube has more than that uploaded every single day.

YouTube has on average close to 4 million video uploads per day

Youtube is one symptom that Google's business model is ethically and ecologically unsustainable. Process and store whatever nonsense to collect more user data.

Re: Can humans say the largest prime number before we find the next one?

#57

Ooh, let’s do this with the Busy Beaver function too. BB(5) is only 12,289 binary digits to say out loud. BB(6) and BB(7) can’t possibly take that much longer to say.

For context, because I had to look it up: For BB(6), Σ(6) is known to be least 10 ↑↑ 15 for in Knuth's up-arrow notation. You can read this as 10^(10 ↑↑ 14) = 10^(10^(10 ↑↑ 13)) and so on. It's much more than just a lot. Anyone know how many digits this is?

That’s why it requires notation in the first place.

Re: Can humans say the largest prime number before we find the next one?

#58

Earlier quoted context omitted.

Probably not. https://en.wikipedia.org/wiki/Names_of_large_numbers only lists up to a Millinillion, or 10^3003. You can compound them, but it kinda defeats the point. A googol is too small, and a googolplex is too large.

If you check the section "Extensions of the standard dictionary numbers" on the page you linked, there's a system for naming arbitrarily large numbers as -illions. The prime here is approx. 8.82 * 10^41024319, and 10^41024319 is the 13674772nd -illion (short scale), so it would begin eight tredecilliquattuorseptuagintasescentilliduoseptuagintaseptingentillion.

I think google just got fined that by Russia.
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