You're correct, the paper is being withdrawn. My apologies. On Wed, Dec 3, 2025 at 5:59 PM Matt Mahoney <[email protected]> wrote:
> On Tue, Dec 2, 2025, 10:28 AM Quan Tesla <[email protected]> wrote: > >> John et al >> >> Apologies for my silence. Formalizing white papers. >> >> At least, there was a start: https://zenodo.org/records/17716858 >> > > Help me understand this. The paper claims that p_k/p_k# approximates C to > within 10^-30 for k ≈ 80, where p_k is the k'th prime, p_k# is the > primordial, or the product of all primes up to p_k, and C is an irrational > constant like pi, e, phi, ln 2, etc. for example, p_4 = 7, p_4# = 2x3x5x7 = > 210, and p_k/p_k# = 1/30. > > This does not look right because p_k# grows much faster than p_k, so the > ratio approaches 0 as k grows. Am I misunderstanding something? > > Any irrational number can be approximated to n digits of precision by a > rational number a/b using a total of about n digits. For example, you can > approximate pi to 3 digits as 22/7 or 6 digits as 355/113. Either > representation takes about the same number of bits. > > Can you clarify? > > *Artificial General Intelligence List <https://agi.topicbox.com/latest>* > / AGI / see discussions <https://agi.topicbox.com/groups/agi> + > participants <https://agi.topicbox.com/groups/agi/members> + > delivery options <https://agi.topicbox.com/groups/agi/subscription> > Permalink > <https://agi.topicbox.com/groups/agi/T7ff992c51cca9e36-M23c29acfb440cb21c70f05f3> > ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T7ff992c51cca9e36-M273a6d1d5a6016e25ed0772d Delivery options: https://agi.topicbox.com/groups/agi/subscription
