Timeline for Integers whose product is a primorial and primality of their sum or difference
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 24, 2018 at 10:58 | comment | added | Sylvain JULIEN | $ \mathcal{N}_{pure}(x) $ counts the number of $ (a,b) $ such that $ b\le x $, $ b-a=p^m $ , $ a+b=q^n $ for primes $ p $ and $ q $ with at least one of the two positive integers $ m $ and $ n $ being greater or equal than $ 2 $ . The third quantity counts the number of $ (a,b) $ such that at least one of the two integers $ b-a $ and $ a+b $ has at least two distinct prime factors. | |
| Jan 24, 2018 at 10:51 | vote | accept | Sylvain JULIEN | ||
| Jan 24, 2018 at 6:27 | answer | added | Aaron Meyerowitz | timeline score: 5 | |
| Jan 24, 2018 at 0:04 | comment | added | Gerhard Paseman | Once b gets big, say b larger than 1000, I would expect the primes quantity to be relatively small, especially if you started multiplying a by larger (but not too large) primes. In spite of your definition, I am not clear on what is captured by the other two quantities. You might find generalizing this to coprime and squarefree a and b more tractable, or at least giving a good perspective. Gerhard "Study Weaker To Get Stronger" Paseman, 2018.01.23. | |
| Jan 23, 2018 at 23:38 | history | asked | Sylvain JULIEN | CC BY-SA 3.0 |