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Prime divisors (Posted on 2005-01-04) Difficulty: 3 of 5
6300846559 is such that 6 is divisible by 2; 63, by 3; 630, by 5; 6300, by 7; and, in general, if you take its first N digits, it will be divisible by the N-th prime.

There is only one other such 10 digit number: can you find it?

See The Solution Submitted by e.g.    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: A further analysis | Comment 10 of 11 |
(In reply to A further analysis by Jer)

I , too, realised immediately that the problem
can be easily solved manually, probably within less than
1 hour {trying 210, 215,240, 245 ...etc) but decided
that there is no point in actually doing it...
I save my creativity for bigger challenges

  Posted by Ady TZIDON on 2005-01-05 09:50:03

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