tag:blogger.com,1999:blog-6544681294835490124.post6440736090147752860..comments2014-08-09T18:27:35.861-07:00Comments on Sensory Overload: Twin PrimesNikhttp://www.blogger.com/profile/13000740788212133512noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-6544681294835490124.post-24378091155172883202009-01-11T06:25:00.000-08:002009-01-11T06:25:00.000-08:00Hi. I can't really remember how i found your blog ...Hi. I can't really remember how i found your blog but i know i found Monosyllables first. Afterwards i decided to check out any other blogs you might have and arrived at this one. I just commented to say i officially hate you. How can someone be talented at both literature (or perhaps only poetry, but still!) AND mathematics? That's just not fair to us regular people. Great poems and great... understanding of maths! =]Emily Bonnyhttp://www.blogger.com/profile/14987315193960156708noreply@blogger.comtag:blogger.com,1999:blog-6544681294835490124.post-36643355159355158082009-01-01T04:13:00.000-08:002009-01-01T04:13:00.000-08:00Woah. I like :DWoah. I like :DRadhika Saxenahttp://www.blogger.com/profile/16813537916701262671noreply@blogger.comtag:blogger.com,1999:blog-6544681294835490124.post-74316783797873620652008-12-27T10:58:00.000-08:002008-12-27T10:58:00.000-08:00Ah. Thank you.Thanks for the theorems too. Got em ...Ah. Thank you.<BR/><BR/>Thanks for the theorems too. Got em both. Pretty simple. I'm certain I have it right this time.Nikhttp://www.blogger.com/profile/13000740788212133512noreply@blogger.comtag:blogger.com,1999:blog-6544681294835490124.post-6014669283714764692008-12-27T01:54:00.000-08:002008-12-27T01:54:00.000-08:00Nikita, It's a tempting argument, but unfortun...Nikita, <BR/><BR/>It's a tempting argument, but unfortunately there is an error. Your numbers "P+1" and "P-1" are not necessarily prime. <BR/><BR/>Although they are not divisible by any numbers <= (N+1), there could still be other primes, which are greater than (N+1), that could divide either (P-1) or (P+1).<BR/><BR/>For example, if I claim the only twin primes are (3,5) and (5,7), your method would attempt to find a contradiction with my claim by calculating<BR/>P = 2*3*5*7 = 210.<BR/><BR/>Then it would claim that 209 and 211 are prime, but in fact 209 = 11*19.<BR/><BR/>You might take a shot at proving the following theorems about twin primes:<BR/><BR/>1) The only number between a pair of twin primes that is not divisible by six is 4. (i.e. (11,13) is a twin prime, 12 is in between, and it is a multiple of 6. Likewise for 30, which is between the twin primes (29,30).)<BR/><BR/>2) The only "triplet primes", that is, three numbers, all prime, each separated by two are (3,5,7).Markkimarkkonnenhttp://www.blogger.com/profile/11122368349695914223noreply@blogger.com