A^3 + B^3 = C^3 ± 1

 
 
                                        A^3 \; + \; B^3 \; = \; C^3 \; \pm \; 1

 
 

(1)                                       A^3 \; + \; B^3 \; = \; C^3 \; - \; 1

 

6^3 + 8^3 = 9^3 - 1

1150782^3 + 1388672^3 = 1613673^3 - 1

212777336886^3 + 256762580408^3 = 298364863689^3 - 1

39342104034443502^3 + 47474887590794672^3 = 55167066564708393^3 - 1

7274276351547757342566^3 + 8778011765505990588008^3
   = 947386707622117236041506857^3 - 1

1344999148809135133091371422^3 + 1623036819371051760150613472^3
   = 1886011421932819053141575913^3 - 1

248687652609237191486780635889046^3 + 300096261819290716582822139062808^3
   = 348719739882334097014388015576649^3 - 1

45981849590797739082713630881521502542^3 + 55487198616240178095359596108284365072^3
   = 64477582462877798447833496250949624233^3 - 1
……………………………………………………………………….
……………………………………………………………………….

 

(2)                                       A^3 \; + \; B^3 \; = \; C^3 \; + \; 1

 
1728 \; = \; 9^3 \; + \; 10^3 \; = \; 12^3 \; + \; 1

11161^3 + 11468^3 = 14258^3 + 1

65601^3  + 67402^3 = 83802^3 + 1

76869289^3 + 78978818^3 = 98196140^3 + 1

451797561^3 + 464196268^3 = 577145658^3 + 1

529398785665^3 + 543927106802^3 = 676276803218^3 + 1

3111529740489^3 + 3196919629018^3 = 3974802064140^3 + 1

3645969360009049^3 + 3746025905565260^3 = 4657518245567522^3 + 1

21429104870953665^3 + 22017185020849402^3 = 27374461238587818^3 + 1

25109790452983538281^3 + 25798879867700837522^3
   = 32076327480946722092^3 + 1

147582242134728153849^3 + 151632350041670201260^3
   = 188527910575352239722^3 + 1

172931123203728268135681^3 + 177676881902829762447458^3
   = 220909662703761829481378^3 + 1

1016398880152767924607881^3 + 1044291972719797655226922^3
   = 1298391692757989636378892^3 + 1

6999938940029870562046326081^3 + 7192038664488896409877609258^3
   =  8942023399496364050389190778^3 + 1
……………………………………………………………………
…………………………………………………………………………
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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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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