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    pecrosby's Avatar
    pecrosby Posts: 1, Reputation: 1
    New Member
     
    #1

    Jun 8, 2011, 11:52 AM
    All 6-digit palindromes
    I am trying to find a two 6-digit palindromes whose difference would be less than 50. Thank you!
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #2

    Jun 8, 2011, 12:16 PM

    How about:

    099990
    100001

    Difference is 11

    In general any two successive palindromes of the form

    a9999a
    (a+1)0000(a+1)

    Have a difference of 11.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
    Senior Member
     
    #3

    Jun 8, 2011, 01:23 PM
    Or, if you don't think 099990 is a six-digit number, the leading and trailing 0 and 1 can be swapped with 1 and 2, 2 and 3, 3 and 4, etc. (e.g. 400004 and 399993).

    Wasn't that last week's puzzler on Car Talk?

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