A^5 + B^5 + C^5 = D^5 + E^5 + F^5

 
 

           A^{5} \; + \; B^{5} \; + \; C^{5} \; = \; D^{5} \; + \; E^{5} \; + \; F^{5}
 
 

389^5 + 442^5 + 123^5 = 272^5 + 474^5 + 208^5
9487^5 + 19173^5 + (-4158)^5 = 739^5 + 4482^5 + 19281^5
90129^5 + 260036^5 + (-32128)^5 = 24593^5 + 33152^5 + 260292^5
515651^5 + 1946755^5 + (-154750)^5 = 157250^5 + 203151^5 + 1947255^5
2146213^5 + 10061934^5 + (-556848)^5 = 562032^5 + 1026469^5 + 10062798^5
7176639^5 + 40319657^5 + (-1641598)^5 = 1651202^5 + 3882467^5 + 40321029^5
20447297^5 + 134151688^5 + (-4185088)^5 = 12058689^5 + 4201472^5 + 134153736^5
51549859^5 + 387301671^5 + (-9551358)^5 = 9577602^5 + 32417983^5 + 387304587^5
118000101^5 + 999799010^5 + (-19978000)^5 = 20018000^5 + 78000101^5 + 999803010^5

249790223^5 + 2357624269^5 + (-38942398)^5
= \; 39000962^5 + 171841539^5 + 2357629593^5

495673489^5 + 5159280972^5 + (-71618688)^5
= \; 71701632^5 + 352346257^5 + 5159287884^5

931574307^5 + 10603754603^5 + (-125435518)^5
= \; 125549762^5 + 680580239^5 + 10603763391^5

1671557189^5 + 20659968406^5 + (-210744688)^5
= \; 1249903173^5 + 210898352^5 + 20659979382^5

2881828351^5 + 38441837265^5 + (-341610750)^5
= \; 341813250^5 + 2198390851^5 + 38441850765^5

68717375504^5 + 4798284033^5 + (-536731648)^5
= \; 3724542209^5 + 68717391888^5 + 536993792^5

118585031887^5 + 7748159939^5 + (-820500478)^5
= \; 6106805247^5 + 118585051539^5 + 820834562^5

198355505418^5 + 12176376517^5 + (-1224218448)^5
= \; 9727496389^5 + 198355528746^5 + 1224638352^5

322682738741^5 + 18677215119^5 + (-1787469118)^5
= \; 15101728163^5 + 322682766177^5 + 1787990402^5

511993592020^5 + 28032000401^5 + (-2559664000)^5
= \; 22912000401^5 + 511993624020^5 + 2560304000^5

794271869139^5 + 41253504643^5 + (-3601769598)^5
= \; 34049150479^5 + 794271906183^5 + 3602547522^5

1207258899902^5 + 59637829989^5 + (-4988225968)^5
= \; 49660398437^5 + 1207258942494^5 + 4989162992^5

1801139776633^5 + 84824564927^5 + (-6809066878)^5
= \; 71205263139^5 + 1801139825301^5 + 6810186242^5

2641791601176^5 + 118866051649^5 + (-9172251648)^5
= \; 100520165953^5 + 2641791656472^5 + 9173578752^5

3814677718775^5 + 164306641251^5 + (-12206218750)^5
= \; 139892578751^5 + 3814677781275^5 + 12207781250^5

5429479898674^5 + 224272854053^5 + (-16062671248)^5
= \; 192145613349^5 + 5429479968978^5 + 16064499152^5

7625568767517^5 + 302575402639^5 + (-20919604158)^5
= \; 260733989827^5 + 7625568846249^5 + 20921729922^5

10578421510748^5 + 403824075537^5 + (-26984583808)^5
= \; 349852361489^5 + 10578421598556^5 + 26987042432^5

14507104929211^5 + 533556519779^5 + (-34498289278)^5
= \; 464557014543^5 + 14507105026767^5 + 34501118402^5

19682951373030^5 + 698382000901^5 + (-43738326000)^5
= \; 610902000901^5 + 19682951481030^5 + 43741566000^5

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

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