High Quality Content by WIKIPEDIA articles! In mathematics, a Mordell curve is an elliptic curve y2 = x3 + k, with k an integer. These curves were closely studied by Louis Mordell, from the point of view of determining their integer points. He showed that for k fixed there are only finitely many solutions (x,y) in integers. In other words, the differences of perfect squares and perfect cubes tend to ?. The question of how fast was dealt with in principle by Baker's method. Hypothetically this issue is dealt with by Marshall Hall's conjecture.

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