Recent content by daniel tisdal

Yes, I did try that site and others. It's hard to tell one small reef fish from another from photos. I had not seen fish this shade of violet before so I thought they might be unique in terms of pigmentation. That's maybe not the case, so I thought perhaps someone with particular knowledge of...

Snorkeling in the Red Sea, I noticed fish that were near the edge of my purple-range. They were small--perhaps 3-5 inches. Looking at guides I would say they were angelfish or anthias, but surely there are marine biologists who know exactly what these were. I have see other purple fish, these...

I see you were more specific in the second paragraph. That answers the question, thanks.

According to the Wiki article, Legendre implies prime gaps of the order O(sqrt[p]), while RH implies the (weaker) boundary for prime gaps O(sqrt[p]log[p]). The cite is http://en.wikipedia.org/wiki/Legendre's_conjecture Cramer is said to have proved the weaker boundary for RH. They seem to...

Thanks for the prompt reply. But if (say) RH entails a stronger boundary on the distance between primes, then wouldn't it imply Legendre? Or v.v.? There may be no formal relationship, but if, say, Proposition 1 implies a function is between (1,4) and Proposition 2 implies the function is on...

I recall reading somewhere that Legendre's conjecture implies the Riemann Hypothesis. But the Wiki article suggests that Legendre imposes lighter bounds on the density of primes than does RH, so I would think the other way around, if anything. Thanks for any enlightenment.