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N is a five-digit positive integer such that when multiplied by a single digit, the result is a six-digit positive integer having precisely 5 identical nonzero digits.

Find the respective minimum and maximum value of N.

(No Solution Yet, 2 Comments) Submitted on 2014-10-30 by K Sengupta   
Difficulty: 3 of 5 Bonus: Dividing A Grid (in Numbers) Rating: 2.00
Each square of the 5x5 grid below contains a number 1-25. Divide the grid into five regions so that the number of squares and the sum of the squares in each region are both odd prime numbers. (1 is not a prime)
For example, the region consisting of {2,3,8} is a valid region. It contains 3 squares (3 is an odd prime) and the sum of the numbers in the squares is prime (2+3+8=13 is an odd prime).
+--+--+--+--+--+
| 1| 2| 3| 4| 5|
+--+--+--+--+--+
| 6| 7| 8| 9|10|
+--+--+--+--+--+
|11|12|13|14|15|
+--+--+--+--+--+
|16|17|18|19|20|
+--+--+--+--+--+
|21|22|23|24|25|
+--+--+--+--+--+
(Solution Posted, 9 Comments) Submitted on 2005-10-25 by Brian Smith   
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