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A253881 Positive integers N such that rational Diophantine triple {-1/N, N, (N^2-1)/N} can be extended to a quadruple. 0

%I #8 Jan 17 2015 13:55:39

%S 9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,29,31,33,34,37,40,41,43,

%T 45,46,48,49,50,51,52,54,55,56,57,60,61,62,65,68,69,70,71,72,73,74,75,

%U 77,78,79,80,81,83,84,85,86,88,91,93,95,96,97,99,103,105,106,111,113,114,115,117,119

%N Positive integers N such that rational Diophantine triple {-1/N, N, (N^2-1)/N} can be extended to a quadruple.

%C Positive integer N belongs to this sequence if and only if the elliptic curve y^2 = x^3 + (N^2+1/N^2)*x^2 + x has positive rank.

%K nonn

%O 1,1

%A _Thomas Bokk_, Jan 17 2015

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)