User talk:CALR
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Happy editing! -- Infrogmation 16:26, 28 May 2005 (UTC)
Explanation on E
Thanks for finally tidying up my flippant edit on E (mathematical constant) regarding the density of primes. I was a bit lazy in changing the original statement from "as early as" to "as late as", as I explained in talk:E (mathematical constant). Your note on the edit indicates that you probably didn't pick up on this -- there are in fact quite a lot of 10 digit primes. Cheers Andrew Kepert 09:22, 20 Jun 2005 (UTC)
- Following up your edit on my talk: user talk:AndrewKepert, it goes to show why people should not make value judgements when expressing facts on wikipedia:
- Fact: roughly 1 in 22 of the 10 digit numbers is prime.
- The original statement I edited read that "the first 10-digit prime in e is 7427466391, which surprisingly starts as soon as the 101st digit"
- I edited this to read "which surprisingly starts as late as", given that the 1 in 22 means that in any random sequence of digits, the expected number of digits you have to pass to get a prime is 22 (glossing over the fact that we are not quite talking about statistically independent events here, but close enough not to worry me). To not get a prime after 101 random digits has probability 0.955101 ≈ 0.01 -- a 1 in 100 chance. My edit was based on this opinion: 1 in 100 is surprising (more precisely, that it is more surprising than the 99 in 100 implicit in the original statement)
- Quite wisely, you removed any statement of opinion. WP strives towards npov, after all!
- You commented that there are proportionally very few 10-digit primes - an opinion.
- If I force myself to have an opinion on whether 1 in 22 is a proportionally few or many, I favour "many" -- after all, they are asymptotically of zero density. 1 in 22 is pretty reasonable odds - people bet their houses on less. But this is an opinion.
- You say tomato, I say tomato. I think it says more about the person expressing the opinion than the fact itself.
- This sort of stuff amuses me, but that is another opinion, and probably says much about me. Maybe I'm bitter about not getting the Gooogle job. 8-)
- Andrew Kepert 08:24, 21 Jun 2005 (UTC)