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Question Number 43749 by naka3546 last updated on 15/Sep/18

	Answered by MrW3 last updated on 16/Sep/18

	$2 (n^{2} + 3 n - 1993) = k^{2}$ $k m u s t b e e v e n \Rightarrow k = 2 m$ $n^{2} + 3 n - 1993 = 2 m^{2}$ $n (n + 3) = 2 m^{2} + 1993$ $L H S i s a l w a y s e v e n, e v e n \times o d d = e v e n$ $R H S i s a l w a y s o d d, e v e n + o d d = o d d$ $\Rightarrow n o s o l u t i o n f o r n!$
	Commented by A.Haq.Soomro last updated on 15/Sep/18

	$V Nice MrWWW!$
	Commented by MrW3 last updated on 15/Sep/18

	$t h a n k y o u s i r!$ $a r e y o u a n o l d f r i e n d w i t h a n e w I D ?$
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