tag:blogger.com,1999:blog-11295132.post112291393067723283..comments2018-04-24T08:59:21.783-07:00Comments on A Neighborhood of Infinity: The Product of All Primes is 4π2Dan Piponihttps://plus.google.com/107913314994758123748noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-11295132.post-46986127982467596622017-11-16T08:18:08.530-08:002017-11-16T08:18:08.530-08:00It can converge, but it doesn't always do that...It can converge, but it doesn't always do that - it depends on whether e^n converges(that is how they changed the product to a summation in the formula). In case of primes it doesn't in the limit. because the product of the first n primes converges to e^n for n going to infinity. <br /><br />It's not monotonic that is what it's saying - sometimes it has negative slope and sometimes positive and you do not know where it will go, but in case of primes it doesn't do that. jordanhttps://www.blogger.com/profile/17068101959598801096noreply@blogger.comtag:blogger.com,1999:blog-11295132.post-22781065798127109192013-07-07T15:50:51.279-07:002013-07-07T15:50:51.279-07:00I don't know what the sum of all primes is, bu...I don't know what the sum of all primes is, but I can show that the product of all primes has all the properties of zero, and the next numbers up and down are both prime (making the higher one higher than the highest known prime).steve coxnoreply@blogger.comtag:blogger.com,1999:blog-11295132.post-86625376458417076072007-07-28T03:38:00.000-07:002007-07-28T03:38:00.000-07:00So, what is the sum of all primes? (Unfortunately ...So, what is the sum of all primes? (Unfortunately the link to the pdf doesn't work for me.)JocKhttps://www.blogger.com/profile/10175725113827031515noreply@blogger.com