4 ms·
This [1] is a good comment explaining why we will never know all the primes up to the largest known prime. I am having a surprisingly hard time finding the ans
by philomath_mn 5y ago
This [1] is a good comment explaining why we will never know all the primes up to the largest known prime.
I am having a surprisingly hard time finding the answer to the second part of your question. This site [2] samples the first 50 million primes, and the OEIS tracks this sequence as A000040 [3] but they provide a very short list. No luck finding the longest computed A000040 sequence so far.
EDIT:
The research on the Golbach Conjecture summarized here [4] found all the primes up to 10^18, that is the most I am finding so far.
[1]: https://www.reddit.com/r/math/comments/21nclc/comment/cgepane/?utm_source=share&utm_medium=web2x&context=3 https://www.reddit.com/r/math/comments/21nclc/comment/cgepan...
[2]: https://primes.utm.edu/lists/small/millions/ https://primes.utm.edu/lists/small/millions/
[3]: https://oeis.org/A000040 https://oeis.org/A000040
[4]: http://sweet.ua.pt/tos/goldbach.html http://sweet.ua.pt/tos/goldbach.html