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Positive Integer

Puzzle:

Find a positive integer (base 10) which has the following four properties:
  • Each of the 10 digits (0 to 9) appears exactly once in the number.
  • For each pair of digits whose sum is 9, the number of other digits positioned strictly between the pair is equal to the smaller digit of the pair.
  • The sum of each pair of digits positioned at the same distance from opposite ends of the number is a prime number.
  • The difference between any 2 adjacent digits is greater than 1.
The solution is unique. Find the Number.

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Solution:

The number is 5831746290

3 comments:

pg... said...

5831746290

Novice Academician said...
This comment has been removed by the author.
Sharath Chandra kovuri said...

u said the difference shud be a prime.. but 1 is neither prime nor composite...