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Let a and b be positive integers such that 1^4 + 5^4 + 6^4 + a^4 + b^4 = 2019.  Find a + b.

 Oct 30, 2019
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2019 - 5^4 - 6^4  = 97 = a^4 +b^4

 

81 +16 = a^4 + b^4

3^4 + 2^4   = a^4 + b^4

 Oct 30, 2019

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