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Squarefree integers m such that for both m and m+1, the equation x*(x+1)*(x+2) = m*y^2 has at least one solution (x,y) with x>0 and y>0.
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%I #9 Oct 11 2020 05:56:09

%S 5,14,21,29,1154,26473

%N Squarefree integers m such that for both m and m+1, the equation x*(x+1)*(x+2) = m*y^2 has at least one solution (x,y) with x>0 and y>0.

%C m and m+1 both belong to A335785.

%C 10^6 < a(7) <= 740292105. - _Jinyuan Wang_, Oct 10 2020

%H Michael A. Bennett, <a href="http://dx.doi.org/10.4064/aa105-4-3">Lucas' square pyramid problem revisited</a>, Acta Arithmetica 105 (2002), 341-347.

%H Michel Marcus and Jinyuan Wang, <a href="/A335715/a335715.txt">PARI program</a>

%Y Cf. A335785.

%K nonn,more

%O 1,1

%A _Michel Marcus_, Jul 10 2020