Glenn Michael Morley

Fish on a Hook CAUGHT - Twin Prime Conjecture Proven

... you may recall a few blogs ago that I had mentioned some new and exciting developments in my recent mathematical research work - literally a Fish on the Hook - I felt I had something big and significant but could not distinguish at the time if it was an old tire or a large fish indeed - well those who are familiar with such endeavours will appreciate the number of dead ends and blind alleys your efforts can lead to and the dispiriting impact this can have on you - the tendency for your work to become all-consuming as you seek ways and methods to get over theoretical hurdles - after more than 2 years of effort I can state that I have concluded as of last night 20:42 PM a detailed and complete outline for the proof of the long outstanding Twin Prime Conjecture (TPC) - a proof that has eluded mathematicians for centuries if not longer as it is not clear when this problem was originally stated - "prove that there are infinitely many twin primes" - Euclid proved there were infinitely many primes (300 BC) so we can suggest this problem has some legs as well - it is an annoyingly difficult and challenging problem because it seems almost certain to be true but resisted proof by so many - using novel geometric and algebraic means I have first analysed the basis for prime number generation and extended this knowledge towards an inquiry on proof of the TPC - I am certainly not alone in being a mathematician who has claimed to have "proven" this elusive difficult Conjecture but my proof is as close to self-evident as one can imagine - it does not take extensive mathematical knowledge to read comprehend and appreciate the soundness of the proof - however - the underlying theory is quite deep and novel - think of Einstein's famous E = mc^2 - simple formula ... deep deep theory - I used indirect methods and novel techniques to develop insight that is based on my own understanding - my first priority was to completely ignore the current literature on the topic as I think it biases your own efforts and directs you down paths already explored - the most fulfilling and rewarding way to do mathematical research is alone - blind and from first principals - teach yourself and you will learn the subject first hand - what's next? - to complete my current writing of the 55 pp Treatise on this topic and then to submit it for publishing - this will include a full and detailed historical background of the TPC proof from its inception - next summarize the proof and place it in purely algebraic terms to submit to a mathematics Journal such as Annals of Mathematics for peer review and hopefully publishing - exciting times indeed - I will update as things progress