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Prime or divisible by 3 (Posted on 2011-12-23) Difficulty: 3 of 5
2011 is a prime year. The last three digits of 2011 are 011. If you put any digit from 0 to 9 in front of 011, then your number will either be prime or divisible by 3.

0011=11=prime
1011=3*337
2011=prime
3011=prime
4011=3*7*191
5011=prime
6011=prime
7011=3^2*19*41
8011=prime
9011=prime

What other 3-digit number has the property that if you put any digit from 0 to 9 in front of it, then it will either be prime or divisible by 3?

  Submitted by Math Man    
Rating: 4.0000 (1 votes)
Solution: (Hide)
297.
0297=297=3^3*11
1297=prime
2297=prime
3297=3*7*157
4297=prime
5297=prime
6297=3*2099
7297=prime
8297=prime
9297=3^2*1033

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  Subject Author Date
Solutioncomputer solutionCharlie2011-12-23 15:49:41
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