Back when I was taking a number theory first year seminar, I thought I had discovered a pattern in the primes, that they could be written as 2p+q where p and q are prime. After doing pretty extensive testing in Java to test this for a large data set, and then it turns out that both my professor and I had missed the fact that this was already covered by the Goldbach conjecture. I was pretty bummed. I thought I had finally discovered something in math.

read moreJoe PuccioApr 23, 2013, 10:59 AM to Daniel Hey, Looks like Goldbach's conjecture already covers a more general form of my conjecture that stated that all primes >5 could be written as 2p+q? http://en.wikipedia.org/wiki/Goldbach's_conjecture Daniel Orr Apr 23, 2013, 12:43 PM to me Hey Joe, That appears to be correct. I didn't know about Goldbach's second conjecture stating that every integer >5 can be written as a sum of three primes. Sorry for missing/neglecting that point! Best, Dan Joe Puccio Apr 23, 2013, 12:57 PM to Daniel Hey Daniel, I've begun to make comments about how Golbach's conjecture and similar conjectures (such as Levy's conjecture) affect my results. Would it be okay if I left my paper as is for our final project and then if publishing in some way is still an option, I'll make the changes to appropriately mention Golbach and Levy? The only remaining unique (as far as I can tell) conclusions I've made are about the cases where p and q are consecutive, which is fortunately the bulk of my paper. Perhaps if I still were to explore publishing something, I would look at the properties of the resulting primes when p and q are separated by 1 prime, or 2 primes, etc. Joe Levy's conjecture: http://mathworld.wolfram.com/LevysConjecture.html Daniel Orr Apr 23, 2013, 1:22 PM to me Hey Joe, > I've begun to make comments about how Golbach's conjecture and similar > conjectures (such as Levy's conjecture) affect my results. Would it be > okay if I left my paper as is for our final project and then if > publishing in some way is still an option, I'll make the changes to > appropriately mention Golbach and Levy? Sure, that won't be a problem. I'm going to look into publishing options today or tomorrow. Levy's conjecture is right up your alley! Sorry I wasn't aware of it when you first asked me these questions! I'll take the blame for that one. Best, Dan Joe Puccio Apr 23, 2013, 1:57 PM to Daniel Hey Daniel, Thanks. It's not a problem. My fault too as I couldn't find it until now. I'll just shift the main focus of my investigation to finding interesting cases of Levy and Goldbach that have p,q consecutive. Joe