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MR1949862 (2004c:11041) 11D61 (11B39)
Luca, Florian On the Diophantine equation $x\sp 2=4q\sp m-4q\sp n+1$. Proc. Amer. Math. Soc. 131 (2003), no. 5, 1339–1345 (electronic).
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