greg heil <[email protected]> wrote: > 2.5 is not even an integer, how could it be a prime?
The confusion for me is probably the same as for Raul. You are making statements like "the hypothesis is true for all numbers tested except 2 and 3." This is confusing to both Raul and myself, because the statement of the hypothesis we're thinking of is false by definition (something that other posters have explained in the past); you are obviously thinking of some other hypothesis that somehow isn't false. The hypothesis we're considering is the claim that there exists a prime number that is equal to the average of the primes in a paired prime. The hypothesis that you're considering is something I'd never seen before -- you stated it below. >In your quote i said that 2 and 3 were the only solutions (note the plural) up >to 1e8, of hpp. 2 is the solution for the prime pair (pp) 3 5, while 3 is for >5 7. 2 is not equal to (3+5)%2, nor is 3 equal to (5+7)%2. So those are not solutions according to the original statement. I don't know what they're solutions to -- I suspect they're the result of a bug. The first paired primes are 3,5, and their average is 4. 2,3 is "a pair of primes", and the only adjacent primes; their average is 2.5. >Maybe i will be very happy to know of my stupidity for not seeing a >yeoman's proof that my hypothesis were true (that there are no >r -: 4%~p+q where p, q, and r are primes and p q is a prime pair) >except for the trivial pairs of 3 5 and 5 7. Well... I for one am deeply surprised to see the '4' there. I'll be glad to feel stupid if you'll point out where that '4' was explained... I got the impression that everyone here was talking about the average of two primes, not half of the average. I'll try to think about your question, which certainly has the advantage of not being obviously false, unlike the question Raul and I thought you were asking. In the meantime, could you discuss your actual question a little more -- what motivated it? > greg > ~krsnadas.org -Wm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
