
Re: P=NP Proof Published at CERN
Posted:
May 10, 2009 9:01 PM


The elliptic curve over Q: E = ellinit( [1, 0, 0, 35822192130572784206480514296239908919425, 2609719568750620065454923921391767461604324824175741297455625] )
of conductor 5751679256865023413274743068599885347967822805404077230 = 2 3 5 7 11 13 17 19 23 29 31 37^2 41 43 47 53 59 61 187172595299 7081017707425445923
has torsion group Z/3Z, generated by
tors=[104605984638686332650,84532082161048799807719188075];
Its MordellWeil group E(Q) has rank at least 13, with independent points
[111765301087195517610, 46430435456204326675146597675], [111116582336682124050, 34996683196066023464195962875], [111913032824849252130, 49063192420997854527679793475], [110123909838304503990, 18512376609554805482691445335], [109146709187032115370, 10506129421757959855129586475], [110382143345238886970, 22567063509763234684093270475], [110245179394644403100, 20382223547410442956289336075], [108522553923729999720, 17018033523451040060797113555], [108512500742043656106, 17163334387154750309786061867], [109741057847530716000, 13297340647117901361820923075], [108902034932485796850, 12260441074498263650721717075], [110291739877102075140, 21117334974942773428569817185], [111294342929434080810, 38103895579546047175336101675].
There are at least 1201*2 integer points on this curve. It's 5th known curve with torsion Z/Z3 and rank at least 13.
Curves E1 = [1, 0, 0, 560715933702165990261993692150795879540, 5299428030171662962897867758309003693598430128674403539600]
E2 = [1, 0, 0, 73262771788012628080963454016709537315, 240598790801630018163569184912325717758514948008409652225]
E3 = [1, 0, 0, 7032750154590180472810630714591592198580, 234825110521164672374627005794918283861649641835073217760400]
E4 = [1, 0, 0, 245159698188178088219881294961406816115, 1510191009902655798002552220643158891490617937867360088417]
also have torsion Z/Z3 and rank at least 13. I found curves E1, E2, E3 at 2007, and curve at 2008 (see http://web.math.hr/~duje/tors/tors.html ). There are also many integer points on these curves: at least 890*2 on E1, at least 1289*2 on E2, at least 888*2 on E3, and at least 870*2 on E4.
Yurij Eroshkin
Martin Musatov wrote: > An informal and highly experimental, unorthadox proof P=NP has been > published on CERN preprints. > > http://cdsweb.cern.ch/record/1164206/files/s1ln575821092235341939656818Hwf1468147288IdV15212827115758210PDF_HI0001.pdf > > It is mine, and no it is not published anywhere else. My purpose in > posting it here is for feedback and suggestions on how to strengthen > it. > > I would specifically, as was my intention with this experiment, like > feedback from anyone interested in the methodology I used and > suggestion as to how I might go about pursuing a more broadly accepted > peerreviewed published proof building on this basic result. > > Thank you, > > Martin Musatov > m[dot]mm[at]vzw[dot]blackberry[dot]net.

