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anemone
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Prove that all numbers of the sequence $\dfrac{107811}{3},\,\dfrac{110778111}{3},\,\dfrac{111077781111}{3},\,\cdots$ are exact cubes.
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!