At 06:56 PM 5/28/2004, Richard Schroeppel wrote:
Title: There Are Infinitely Many Prime Twins Authors: R. F. Arenstorf http://arXiv.org/abs/math/0405509
The proof was withdrawn yesterday. The page now reads: "A serious error has been found in the paper, specifically, Lemma 8 is incorrect." Also, although the original work was mentioned on math-fun in March 2003, I don't think anyone pointed out that an error was found in Goldston and Yildirim's attempt to prove that there are infinitely many "small" prime gaps. Keith Devlin has a non-technical article describing how the error was found: http://www.maa.org/devlin/devlin_06_03.html . It looks like the Twin Prime Conjecture won't give up without a struggle. -- Fred W. Helenius <fredh@ix.netcom.com>