How much is
The product ranges over all primes. In other words,
Just heard it from Avinoam Mann.
| Taha Kerem Akyol on Test Your Intuition 56: Fiftee… | |
| Five Perspectives on… on Random Circuit Sampling: Fouri… | |
| mcsc2016 on Test Your Intuition 56: Fiftee… | |
| tchow8 on Test Your Intuition 56: Fiftee… | |
| Terence Coelho on Test Your Intuition 56: Fiftee… | |
| Internet Rando on Test Your Intuition 56: Fiftee… | |
| Craig on Test Your Intuition 56: Fiftee… | |
| Mark P on Test Your Intuition 56: Fiftee… | |
| Craig on Test Your Intuition 56: Fiftee… | |
| Lbit on Test Your Intuition 56: Fiftee… | |
| Lbit on Test Your Intuition 56: Fiftee… | |
| PJO on Test Your Intuition 56: Fiftee… |


Well, it is 2,5. But how do you prove that? Would be awesome to see an argument for that 😀
See e.g., this: https://mathoverflow.net/q/164092/37266
I thought to write 2. But then I read I am allowed to think, so I noticed this look like zeta product and got zeta(2)^2/zeta(4) which if i am not wrong gives 8/3
It’s actually 5/2, but yeah 🙂
What a surprise! I’m not a programmer, but I was quickly able to get Mathematica to tell my the product up to the 10,000th prime, and it’s pretty clear what the answer will be in the limit. Now to figure out why…
Euler worked it out.
Pingback: An infinite product challenge – Dinezh.com
Pingback: Futureseek Daily Link Review; 06 March 2019 | Futureseek Link Digest
Gil, could you please email me? Thanks, Jan Grabowski (Lancaster)
Yes, sure, sorry for the delay, Jan. See you soon, best –Gil
Pingback: Un desafío de producto infinito. – Down.co.ve
Pingback: Un desafío de producto infinito. – stips
Pingback: An infinite product challenge