A^3 + B^3 + C^3 + D^3 + E^3 + F^3 = N^3

 
 
A^3 + B^3 + C^3 + D^3 + E^3 + F^3 = N^3

A, B, C, D, E, F   are distinct positive integers and   N < 300

 
21^3 = 5^3 + 8^3 + 10^3 + 11^3 + 13^3 + 16^3
30^3 = 8^3 + 10^3 + 14^3 + 16^3 + 20^3 + 22^3

45^3 = 11^3 + 17^3 + 20^3 + 25^3 + 28^3 + 34^3
45^3 = 12^3 + 15^3 + 21^3 + 24^3 + 30^3 + 33^3

54^3 = 14^3 + 20^3 + 22^3 + 32^3 + 34^3 + 40^3
66^3 = 16^3 + 26^3 + 28^3 + 38^3 + 40^3 + 50^3
69^3 = 20^3 + 22^3 + 29^3 + 40^3 + 47^3 + 49^3
81^3 = 23^3 + 26^3 + 35^3 + 46^3 + 55^3 + 58^3
90^3 = 24^3 + 30^3 + 42^3 + 48^3 + 60^3 + 66^3
93^3 = 22^3 + 37^3 + 41^3 + 52^3 + 56^3 + 71^3

105^3 = 29^3 + 38^3 + 40^3 + 65^3 + 67^3 + 76^3
117^3 = 28^3 + 44^3 + 58^3 + 59^3 + 73^3 + 89^3

126^3 = 30^3 + 48^3 + 60^3 + 66^3 + 78^3 + 96^3
126^3 = 38^3 + 40^3 + 50^3 + 76^3 + 86^3 + 88^3

150^3 = 34^3 + 62^3 + 70^3 + 80^3 + 88^3 + 116^3
153^3 = 42^3 + 51^3 + 66^3 + 87^3 + 102^3 + 111^3
165^3 = 40^3 + 61^3 + 82^3 + 83^3 + 104^3 + 125^3
171^3 = 50^3 + 56^3 + 68^3 + 103^3 + 115^3 + 121^3
180^3 = 48^3 + 60^3 + 84^3 + 96^3 + 120^3 + 132^3
186^3 = 46^3 + 68^3 + 86^3 + 100^3 + 118^3 + 140^3

189^3 = 53^3 + 68^3 + 71^3 + 118^3 + 136^3 + 121^3
189^3 = 57^3 + 60^3 + 75^3 + 114^3 + 129^3 + 132^3

195^3 = 50^3 + 68^3 + 91^3 + 104^3 + 127^3 + 145^3
198^3 = 56^3 + 62^3 + 92^3 + 106^3 + 136^3 + 142^3
210^3 = 52^3 + 76^3 + 100^3 + 110^3 + 134^3 + 158^3
213^3 = 59^3 + 68^3 + 100^3 + 113^3 + 145^3 + 154^3
216^3 = 56^3 + 80^3 + 88^3 + 128^3 + 136^3 + 160^3
225^3 = 52^3 + 89^3 + 110^3 + 115^3 + 136^3 + 173^3

234^3 = 52^3 + 100^3 + 110^3 + 124^3 + 134^3 + 182^3
234^3 = 66^3 + 78^3 + 96^3 + 156^3 + 138^3 + 168^3

243^3 = 66^3 + 87^3 + 96^3 + 147^3 + 156^3 + 177^3

261^3 = 66^3 + 93^3 + 120^3 + 141^3 + 168^3 + 195^3
261^3 = 77^3 + 92^3 + 94^3 + 169^3 + 167^3 + 184^3

270^3 = 60^3 + 114^3 + 132^3 + 138^3 + 156^3 + 210^3
276^3 = 80^3 + 88^3 + 116^3 + 160^3 + 188^3 + 196^3
285^3 = 64^3 + 118^3 + 140^3 + 145^3 + 167^3 + 221^3
294^3 = 92^3 + 94^3 + 110^3 + 184^3 + 200^3 + 202^3

 
The list is not complete.
Find other solutions
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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