How do you Express A and B in q and r?

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  • #1
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A - B - q^n + r^n = 0, (A, B) co prime, A odd, B even, n odd, gcd (A / q, q) = 1, gcd (B / r, r) = 1

Problem
A - B - q^n + r^n = 0,
(A, B) co prime,
A odd,
B even,
n odd,
gcd (A / q, q) = 1,
gcd (B / r, r) = 1.
 
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Answers and Replies

  • #2
Office_Shredder
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I'm not sure about a total set of solutions, but ##n=1##, ##A=q## and ##B=r## is one solution.

It's not explicitly stated, but since ##A##is divisible by ##q## and ##B## is divisible by ##r##, ##q## and ##r## are coprime as well.
 
  • #3
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You did great !!!
 

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