Mathematics and Applied Mathematics
October 10, 2014
The Hardy-Littlewood prime k-tuples conjecture[18,29,34] and Erdos-Turan conjecture(every set of integers of positive upper density contains arbitrarily long arithmetic progressions )[14,15,16,17,20,35] are not even wrong. Using the circle method and the sieve method one do not prove simplest twin prime conjecture( there exist infinitely many pairs of twin primes) and the simplest Goldbach conjecture (every even number N>4 is the sum of of two primes).Therefore from Hardy-Littlewood(1923) to 2014 all prime papers are not even wrong[12-50] .They do not prove any prime problems. 2006Fields medal(Green-Tao theorem),2007Wolf prize(Furstenberg theorem) and 2012Abel prize(Szemeredi theorem) is not even wrong, they do not understand arithmetic progressions. The correct arithmetic progressions is Example 8[6,p68-74].Institute for Advanced study(Math) has long been recognized as the leading international center of research in pure mathematics. Ann.of Math .published many wrong prime papers, for example:Green-Tao[20,41],Goldston-Pintz-Yildirim,Wiles-Taylor[48,49], Zhang and other. Their papers are related to the Hardy-Littlewood wrong prime k-tuples conjecture[18,29,34,50].Therefore their papers are not even wrong. All Riemann hypothesis is not even wrong.All zeros of all zeta functions are not even wrong. 2013Abel prize is not even wrong. But Ann.of Math reject Jiang papers.