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No software allowed ! (Posted on 2017-05-07) Difficulty: 3 of 5
Find positive integers a, b, and c, all different, such that
a^3 + b^3 = c^4.

Please obey the title !

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts re: Solution | Comment 2 of 6 |
(In reply to Solution by Brian Smith)

BRian is BRight !

Maybe there are other possibilities, (I DO NOT KNOW), the puzzle does not  ask for all existing  solution  -

To investigate  the  additional sets of integers -

 software is permitted!

  Posted by Ady TZIDON on 2017-05-07 10:39:12
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