a^4 + b^4 = c^4 + d^4

 
 
a^4 \; + \; b^4 \; = \; c^4 \; + \; d^4,    for all    a < 10^4

 
 
158^4 \; + \; 59^4 \; = \; 133^4 \; + \; 134^4 \; = \; 635318657
292^4 \; + \; 193^4 \; = \; 256^4 \; + \; 257^4 \; = \; 8657437697

239^4 \; + \; 7^4 \; = \; 227^4 \; + \; 157^4 \; = \; 3262811042
502^4 \; + \; 271^4 \; = \; 497^4 \; + \; 298^4 \; = \; 68899596497
542^4 \; + \; 103^4 \; = \; 514^4 \; + \; 359^4 \; = \; 86409838577
631^4 \; + \; 222^4 \; = \; 558^4 \; + \; 503^4 \; = \; 160961094577

1203^4 \; + \; 76^4 \; = \; 1176^4 \; + \; 653^4 \; = \; 2094447251857
1381^4 \; + \; 878^4 \; = \; 1342^4 \; + \; 997^4 \; = \; 4231525221377
2189^4 \; + \; 1324^4 \; = \; 1997^4 \; + \; 1784^4 \; = \; 26033514998417
2461^4 \; + \; 1042^4 \; = \; 2141^4 \; + \; 2026^4 \; = \; 37860330087137
2797^4 \; + \; 248^4 \; = \; 2524^4 \; + \; 2131^4 \; = \; 61206381799697
2949^4 \; + \; 1034^4 \; = \; 2854^4 \; + \; 1797^4 \; = \; 76773963505537
3190^4 \; + \; 1577^4 \; = \; 2986^4 \; + \; 2345^4 \; = \; 109737827061041
3494^4 \; + \; 1623^4 \; = \; 3351^4 \; + \; 2338^4 \; = \; 155974778565937
3537^4 \; + \; 661^4 \; = \; 3147^4 \; + \; 2767^4 \; = \; 156700232476402
4849^4 \; + \; 3364^4 \; = \; 4303^4 \; + \; 4288^4 \; = \; 680914892583617
4883^4 \; + \; 2694^4 \; = \; 4397^4 \; + \; 3966^4 \; = \; 621194785437217
5053^4 \; + \; 604^4 \; = \; 5048^4 \; + \; 1283^4 \; = \; 652057426144337
6140^4 \; + \; 2027^4 \; = \; 5461^4 \; + \; 4840^4 \; = \; 1438141494155441
6619^4 \; + \; 274^4 \; = \; 5942^4 \; + \; 5093^4 \; = \; 1919423464573697
6730^4 \; + \; 2707^4 \; = \; 6701^4 \; + \; 3070^4 \; = \; 2105144161376801
6761^4 \; + \; 498^4 \; = \; 6057^4 \; + \; 5222^4 \; = \; 2089568089060657
7557^4 \; + \; 1259^4 \; = \; 7269^4 \; + \; 4661^4 \; = \; 3263864585622562
7604^4 \; + \; 5181^4 \; = \; 7037^4 \; + \; 6336^4 \; = \; 4063780581008977
8912^4 \; + \; 1657^4 \; = \; 7559^4 \; + \; 7432^4 \; = \; 6315669699408737
8961^4 \; + \; 6262^4 \; = \; 8511^4 \; + \; 7234^4 \; = \; 7985644522300177
9018^4 \; + \; 4903^4 \; = \; 8409^4 \; + \; 6842^4 \; = \; 7191538859126257
9043^4 \; + \; 5098^4 \; = \; 8531^4 \; + \; 6742^4 \; = \; 7362748995747617
9109^4 \; + \; 635^4 \; = \; 9065^4 \; + \; 3391^4 \; = \; 6884827518602786
9253^4 \; + \; 1104^4 \; = \; 8972^4 \; + \; 5403^4 \; = \; 7331928977565937
9289^4 \; + \; 1142^4 \; = \; 9097^4 \; + \; 4946^4 \; = \; 7446891977980337
9316^4 \; + \; 173^4 \; = \; 9197^4 \; + \; 4408^4 \; = \; 7532132844821777
9733^4 \; + \; 5452^4 \; = \; 9029^4 \; + \; 7528^4 \; = \; 9857551363885937

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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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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