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Two top targets (Posted on 2013-09-06) Difficulty: 2 of 5
Find the two highest numbers consisting each of 6 DISTINCT digits such that each when divided by any of the numbers 7, 17, 66 leaves a remainder of 5?

No Solution Yet Submitted by Ady TZIDON    
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Solution Solution | Comment 1 of 2
Since 7, 17 and 66 are relative primes we can just look at their product: 7854.
So we want numbers congruent to 5 mod 7854.

What I did was find the largest 6 digit number: 997463 and work my way down by 7854's scanning the list.  It doesn't take long to arrive at:

903215 and 895361.

  Posted by Jer on 2013-09-06 10:45:10
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