<p>Let E be an elliptic curve over the rationals given by an integral Weierstrass model and let P be a rational point of infinite order. The multiple nP has the form $nP = (A_n/B_n^2, C_n/B_n^3)$, where A_n, B_n, C_n are integers, B_n is positive, and A_n, C_n and B_n are coprime. The sequence (B_n) is called the elliptic divisibility sequence generated by P. In this talk we answer the question posed in 2007 by Everest, Reynolds and Stevens: does the sequence (B_n) contain only finitely many perfect powers?</p><p><br></p>
