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Go one, two, three (Posted on 2021-01-09) Difficulty: 3 of 5
Solve in natural numbers a2=2b3c+1

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

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Some Thoughts computer exploration (spoilers) | Comment 1 of 6
clc
for t=0:1000
    for b=0:1000
      if b>0  
        c=t-b;
        if c>0
        asq=(2^b*3^c+1);
        if asq<1e15
        sr=round(sqrt(asq));
        if sr*sr==asq 
            disp([sr b c])
        end
        end
        end
      end  
    end
end
        
finds

     a     b     c
     5     3     1
     7     4     1
    17     5     2

  Posted by Charlie on 2021-01-09 11:20:47
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