Current status of the solutions for A4=B4+C4+D4.

       I will update this page at any time.

       Leonid Durman's project page. 
        Euler Quartic Conjecture.

       You can see more information at Meyrignac's interesting page. 
        Computing Minimal Equal Sums Of Like Powers.

       And you can see detail information at this page.
       A4+ B4+ C4= D4(Counterexample of Euler's conjecture)
       Table of the solutions for A4+ B4+ C4= D4
       Table of the solutions for A4+ B4+ C4= D4 Part 2


      NEW! 

        
        9033964577482532388059482429398457291004947925005743028147465732645880^4 +
        4417264698994538496943597489754952845854672497179047898864124209346920^4 + 
        1439965710648954492268506771833175267850201426615300442218292336336633^4 =
        9161781830035436847832452398267266038227002962257243662070370888722169^4 (M.A.FAJJAL, 5/31/2009)     





        
        
             

 Current status

        
       1300643009914004+ 4408049425801604+ 5148181012992894= 5736463218719614 (Seiji Tomita, 9/15/2008)

       11667058404+8593964554+5889033364= 12597684734 (Robert Gerbicz, Leonid Durman, Yuri Radaev, Alexey Zubkov , 01/25/2008)

       7693212804+6067108714+5584244404= 8738221214 (Robert Gerbicz, Leonid Durman, Yuri Radaev, Alexey Zubkov , 11/2/2007)

       16629976634+12377969604+6863980004= 17878823374 (Robert Gerbicz, Leonid Durman, Yuri Radaev, Alexey Zubkov , 11/2/2007)

       15935130804+15535564404+926224014= 18717138574 (Robert Gerbicz, Leonid Durman, Yuri Radaev, Alexey Zubkov , 10/31/2007)

       478867402721149764 + 88134256704402404 + 568278133081117854 = 629405169034106014 (Seiji Tomita, 8/13/2008)

       35790871473754404 +148900264334684714 + 185659451142167204 = 202495067095797214 (Seiji Tomita, 8/13/2008)

       49875884196554+24804526756004+5020388539764=50622976992574 (Seiji Tomita, 5/15/2008)

       58219814004+153558313604+1409765514=154345478014 (Seiji Tomita, 10/24/2007)
      
       274501604 + 1466273844 + 1086440154 = 1566467374 (Juergen Rathmann, 6/1/2007)
      
       18411604 +1219521684 +1220553754 =1450877934 (Juergen Rathmann, 5/31/2007)

       33936037774=31340813364+24487186554+6647932004 (Seiji Tomita, 01/28/2007)
          
       443102574=410841754+316691204+21646324 (Robert Gerbicz, 11/08/2006)

       687110974=659329854+428785604+104090964 (Robert Gerbicz, 11/08/2006)

       1171120814=1061611204+878656174+349185204 (Robert Gerbicz, 11/02/2006)

       5898459214=5826652964+2600523854+1866680004 (Seiji Tomita, 03/13/2006)

       16791427294=16706172714+6326719604+502378004 (Seiji Tomita, 03/13/2006)
       
       16774794902382238236614465134=1692180213221702044806803054+15075240668820384725847868004+12880569825864275910622033844 (Seiji Tomita, 03/13/2006)

       299998579386094=224955952840404+75924319813914+272397916926404 (Seiji Tomita, 03/13/2006)


       87074814=83322084+55078804+17055754 (D.J. Bernstein,2001) 

       121974574=112890404+82825434+58700004 (D.J. Bernstein,2001) 

       160030174=141737204+125522004+44790314 (D.J. Bernstein,2001) 

       164305134=162810094+70286004+36428404 (D.J. Bernstein,2001) 

       28130014=27676244+13904004+6738654 (Allan MacLeod,1997) 

       206156734=187967604+153656394+26824404 (Noam Elkies, 1986) 

       4224814=4145604+2175194+958004 (Roger Frye, 1988)