#Modulo 2008 problem

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brazen hareBOT
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rose tusk
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x(x+1)(x+2) = 1
Looks like a lot of candidates can be sieved off using factors of 2008

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Or rather, all candidates

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At least one of the three factors on LHS must be even

mild patioBOT
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@quick pewter has given 1 rep to @rose tusk