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Find my number (Posted on 2011-12-19) Difficulty: 2 of 5
My number:
1. Is a 3-digit number.
2. All its digits are prime digits.
3. A number formed by its 1st 2 digits is prime.
4. So is the number formed by its last 2 digits.
5. It is the smallest number satisfying the above conditions.

Find it.

Rem: The digits in my number do not have to be distinct.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: An indefinite article | Comment 8 of 10 |
(In reply to An indefinite article by Harry)

It may not have been the Ady's intent, but 353 is the smallest of the two possible primes that meet conditions 1 to 4. The other prime being 373.
353 meets condition 3 in that the first two digits, when ordered differently, form a prime (the same prime formed that meets condition 4). 
I do believe, though, 373 is the only prime number that satisfies the zeroeth condition -- that is, "Find my(Ady's) number".

Edited on December 30, 2011, 12:41 pm
  Posted by Dej Mar on 2011-12-22 03:43:13

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