Find a set of four consecutive six digit numbers which satisfies the following:

• The last four digits of the first (smallest) number form a palindrome.
• The last five digits of the second number form a palindrome.
• The second through fifth digits of the third number form a palindrome.
• The fourth (largest) number is a palindrome.

The required set of four consecutive six digit numbers that satisfy all the given conditions as arranged in decreasing order of magnitude is: {198891, 198890, 198889, 198888}

Posted by K Sengupta on 2008-02-13 22:44:10