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Prime and Six Settlement (Posted on 2016-10-17)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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 2016-10-17 09:37:48

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