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Algebra and Primes (Posted on 2013-12-25)

Find all triples (x, y, z) of positive integers such that xł + ył + zł - 3xyz = p

where p is a prime greater than 3

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (3 votes)

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Puzzle Thoughts

Comment 4 of 4 |

let f(x,y,z) = xďż˝ + yďż˝ + zďż˝ - 3xyz where x,y and z are positive integers

Then f(a,a,a+1) = 3a+1

f(a,a,a-1) = 3a-1

The minimum value of f is f(2,2,3) = 5

Edited on June 28, 2024, 1:03 am

Posted by K Sengupta on 2024-06-28 01:01:53

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