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Prime pair equation (Posted on 2021-08-18)

Find all pairs of primes (p,q) such that p⁵+p³+2=q²-q

No Solution Yet Submitted by Danish Ahmed Khan

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computer exploration

| Comment 1 of 2

clc, clearvars

for t=2:500

for a=1:t-1

b=t-a;

p=nthprime(a); q=nthprime(b);

if p^5+p^3+2==q^2-q

disp([p q])

disp([p^5+p^3+2 q^2-q])

disp(' ')

end

finds (for the sum of the ordinal numbers of the primes up to 500th) only


where the format is


     p     q
   LHS   RHS

Posted by Charlie on 2021-08-18 21:48:19

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