perplexus.info :: Numbers : Year Yearn 4

Year Yearn 4 (Posted on 2022-12-18)

Determine all possible triplets (x,y,n) of positive integers, with n>1, that satisfy this equation:

                 xⁿ - yⁿ = 2015

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer findings

| Comment 1 of 5

clearvars,clc

for n=2:25

for y=1:100000

x=(y^n+2015)^(1/n);

if abs(x-round(x))<.0000000000001

if x^n-y^n==2015

disp([x y n]);

end

finds only

     x     y      n
 
     48    17     2
     84    71     2
    204   199     2
   1008  1007     2

Posted by Charlie on 2022-12-18 10:28:52

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