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Solusi Persamaan Diophantine Px + Qy = Z2 Dan P3 + Q2 = Z2
This nal project discusses the solutions of the Diophantine equations px+qy =
z2 and p3+q2 = z2. To solve the equations px+qy = z2, two cases are introduced.
When p = 2 and q = 3 the Diophantine equations px + qy = z2 have innitely
many solution. To solve the equations p3 + q2 = z2, three cases are introduced,
(i) no solution when p = 2, (ii) exactly two solutions when p = 3 with q primes,
and (iii) to every prime p > 3, exactly two solutions with q composite number.
This nal project is a review of some parts of article of Burshtein [Annals of
Pure and Applied Mathematics, 14 (1), 2017, 115-117].
Keywords: Diophantine equation, integer numbers, composite numbers
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