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Prime and Six Settlement (
Posted on 20161017
)
Each of A, B, C, A+B*C, B+C*A and C+A*B is a prime number.
Find the possible remainders when A+B+C is divided by 6.
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Submitted by
K Sengupta
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sum not product
 Comment 2 of 4 
If a=2, bc=1mod6 if a+bc=prime. Then b=1 and c=1mod6 and
(a+b+c)
=2mod6.
Posted by
xdog
on 20161017 09:37:48
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