Recent content by DeaconJohn

Slider142, That's very true, Slider. Thank you for mentioning it. It's a little more difficult to get one that pass through all the primes. Give it a try! If you have any trouble, take a peak at the one Greathouse came up with! I think it's pretty neat. Yours, DJ

Why, thank you Greathouse. I was pretty shook up. I actually felt better two years later when we moved to Rochester, New York. That was when I finally "put it behind me." Thank you for the sympathetic response. However, it does seem to me that it is desirable for professors, instructors (I...

Greathouse, I know that what you say is true, but, I think that I saw recently that even more spectacular results have been obtained in recent times. Do you happen to know what they are? For example, I thought I saw that there exists a polynomial whose image is exactly the set of prime...

Greathouse, Hubba has "hit the nail on the head," here. You are to be commended for your patient effort to help lift Mr. Thompson to a higher level of understanding of modern efforts to find formulas for prime numbers. Your experience with Mr. Thompson is indicative of the danger that a...

You're kidding, right? :confused:

Greathouse, So, what was your reaction, or, some of your reactions, to Mazur's article? Did you experience the same feelings that I expressed in #1 - #6? What was your over-all feeling about the article? Or, is the jury still out? I don't have any quarrel with your statement...

This is no more than a comment. It is not an answer. Hence best phrased as a question. You ask "How can the phi function know to compensate for the number of prime numbers between n and 2n?" But, does the data indicate that it really does that as opposed to compensating for the number of...

That's interesting. I'll try to get something to get back to you with.

I'll see if I have a copy. DJ

Hurkyl, Really nice! DJ

That's a good question, Kurret (IMHO), and that's a good reply, Greathouse (IMHO). Kurret, A few more thoughts, adding to what Greathouse said. One reason there is a "focus" on "prime numbers" these days is the relation with the Riemann hypothesis. For example, if we can show that the...

Kopros, What's the name of the book? DJ

From a post by Mathwonk in the recent thread about randomness in prime numbers: :approve: Barry Mazur's article on "Error Terms" in the current issue of the Bulliten of the AMS (BAMS) uses the "Prime Number Races" that Mathwonk is talking about as a "jumping off point." Has anybody read...

All, Hmmm, an impressive discussion. Curious that Zankaon has not joined in after his initial post. You still out there somewhere Zankaon? DJ

kpros, was this assigned as a homework problem in a class? just curious. DJ