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Prime equation 2 (Posted on 2020-10-01) Difficulty: 2 of 5
Find all triples of primes (p,q,r) satisfying 3p4-5q4-4r2=26.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts computer findings | Comment 1 of 3
pr=primes(10000);
for a=1:1000
     for b=1:1000
        for c=1:1000
           p=pr(a);
           q=pr(b);
           r=pr(c);
           if 3*p^4-5*q^4-4*r^2==26
              disp ([p,q,r])
           end
        end
    end
end

finds only

  p=5   q=3  r=19

  Posted by Charlie on 2020-10-01 09:45:39
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