A 10-digit Number
Can you find a 10-digit number such that:
1. it has m digits between the m's, n digits between the n's, and so forth
2. its first digit is a prime number
3. the 2 digit number formed by its 2nd and 3rd digit is also a prime
4. the 3 digit number formed by its 4th, 5th, and 6th digits is 3 times a prime
5. and the 4 digit number formed by its last 4 digits is also a prime
Find the number.
1. it has m digits between the m's, n digits between the n's, and so forth
2. its first digit is a prime number
3. the 2 digit number formed by its 2nd and 3rd digit is also a prime
4. the 3 digit number formed by its 4th, 5th, and 6th digits is 3 times a prime
5. and the 4 digit number formed by its last 4 digits is also a prime
Find the number.
posted by Zaux at
8:04 PM
4 Comments:
2312132003
I think...
Hi Karl ... good job ... looks like you've found a solution.
The one I have is:
2,412,134,003
I suppose there were likely to be more, I just took the first in the list that matched the criteria. Admittedly, I did spend the first few minutes looking for a palindromic prime with 10 digits, but there weren't that many, nd none fitted the criteria!
nice post. thanks.
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