No 7

 
1 + 5 + 10 + 18 + 23 + 27 = 2 + 3 + 13 + 15 + 25 + 26
12 + 52 + 102 + 182 + 232 + 272 = 22 + 32 + 132 + 152 + 252 + 262
13 + 53 + 103 + 183 + 233 + 273 = 23 + 33 + 133 + 153 + 253 + 263
 

Check that these astonishing equations are true. Do they hold for 4th powers and 5th powers and beyond?

Be amazed by doing the calculations.
 

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