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Near Fermat Formulation (Posted on 2015-05-11) Difficulty: 3 of 5
Prove that the equation:
AN + BN = CN-1
has an infinity of positive integer solutions for every integer value of N ≥ 2

No Solution Yet Submitted by K Sengupta    
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solution | Comment 1 of 4
let A=B=2^(n-2) and C=2^(n-1)
then we have
A^n+B^n=
[2^(n-2)]^n+[2^(n-2)]^n
2*[2^(n-2)]^n
2*2^(n*(n-2))
2*2^(n^2-2n)
2^(n^2-2n+1)
2^((n-1)^2)
[2^(n-1)]^(n-1)=C^(n-1)

  Posted by Daniel on 2015-05-11 13:20:55
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