Timeline for A number encoding all primes
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28, 2012 at 21:16 | comment | added | Pietro Majer | there are numbers that also encode this thread; check them: they also include a lot of variations that we are ashamed to try here ;) | |
| May 12, 2010 at 15:00 | vote | accept | David Carchedi | ||
| May 12, 2010 at 2:58 | answer | added | Charles | timeline score: 6 | |
| May 11, 2010 at 21:37 | answer | added | Matthew Conroy | timeline score: 8 | |
| May 11, 2010 at 19:55 | comment | added | Dan Piponi | Compare with the product formula for the Riemann zeta function: tinyurl.com/29bythb With the zeta function you elegantly get prime numbers combining together in all possible ways to form all natural numbers raised to the power of $s$. The whole thing is very natural. Your sum doesn't really have such properties. If you start trying to form powers of it (say) you get all kinds of "cross" terms that make it hard to assign meaning to the expansion. | |
| May 11, 2010 at 19:44 | answer | added | danseetea | timeline score: 36 | |
| May 11, 2010 at 18:39 | comment | added | David Carchedi | @Alvaro: That's fair enough. I used 2 because what made me think of this was an old homework problem from a number theory course I took in Russia: Write a "formula" for the n^th prime. You can use a similar "trick" as above to do so. | |
| May 11, 2010 at 18:20 | comment | added | Álvaro Lozano-Robledo | Why not use $\sum 10^{-p}$ instead, so you can remove the quotes around decimal place? Anyway, numbers of this form are nothing else than a curiosity but of little use. Even though they encode information about all primes, you need to input all the same information in the definition of the number. | |
| May 11, 2010 at 18:20 | comment | added | Gerald Edgar | No, unlikely to be of interest in number theory. | |
| May 11, 2010 at 17:43 | history | asked | David Carchedi | CC BY-SA 2.5 |