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Composite Contemplation (Posted on 2013-02-16) |
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S=a+b+c+d+e+f, where:
each of a,b,c,d,e and f is a positive integer.
If S divides each of:
a*b*c + d*e*f and:
a*b + b*c + c*a - d*e - e*f - d*f
then, is S always composite?
If so, prove it. If not, provide a counter example.
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