http://michaelnielsen.org/blog/the-polymath-project/ Mon, 07 May 2012 21:35:26 +0000 hourly 1 http://wordpress.org/?v=3.3 http://michaelnielsen.org/blog/the-polymath-project/comment-page-1/#comment-30131 Azhar Iqbal Kundi Sun, 23 Jan 2011 18:51:26 +0000 http://michaelnielsen.org/blog/?p=553#comment-30131 LEGENDRE CONJECTURE This famous conjecture asserts that between "nn" and "(n+1)(n+1)" , n any natural number, there always occurs at least one prime number. Now there are exactely 2n numbers between nn & (n+1)(n+1) ie nn+1, nn+2,....,nn+2n. On the other side Bertrand's Postulate (which has been proved) gurantee's that between any m and 2m (m being a natural number) there always exists a prime number. Can these two facts be brought to some common grounds? I think Bertrand Postulate is ultimate key for resolution of Legendre Conecture but how this can be achieved? LEGENDRE CONJECTURE
This famous conjecture asserts that between “nn” and “(n+1)(n+1)” , n any natural number, there always occurs at least one prime number. Now there are exactely 2n numbers between nn & (n+1)(n+1) ie nn+1, nn+2,….,nn+2n. On the other side Bertrand’s Postulate (which has been proved) gurantee’s that between any m and 2m (m being a natural number) there always exists a prime number. Can these two facts be brought to some common grounds? I think Bertrand Postulate is ultimate key for resolution of Legendre Conecture but how this can be achieved?

]]> http://michaelnielsen.org/blog/the-polymath-project/comment-page-1/#comment-24961 Matt O’ Rama » Blog Archive » The Coefficient of User Innovation Friction Mon, 03 Aug 2009 23:31:55 +0000 http://michaelnielsen.org/blog/?p=553#comment-24961 [...] then, as reported by observer/participant Michael Nielsen (1, 2), Tim Gowers, Terence Tao, and a bunch of their peers have been pioneering a massively [...] [...] then, as reported by observer/participant Michael Nielsen (1, 2), Tim Gowers, Terence Tao, and a bunch of their peers have been pioneering a massively [...]

]]> http://michaelnielsen.org/blog/the-polymath-project/comment-page-1/#comment-24890 Polymath = user innovation « Jon Udell Fri, 31 Jul 2009 17:11:33 +0000 http://michaelnielsen.org/blog/?p=553#comment-24890 [...] mathematics possible? Since then, as reported by observer/participant Michael Nielsen (1, 2), Tim Gowers, Terence Tao, and a bunch of their peers have been pioneering a massively [...] [...] mathematics possible? Since then, as reported by observer/participant Michael Nielsen (1, 2), Tim Gowers, Terence Tao, and a bunch of their peers have been pioneering a massively [...]

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