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B-Palindromes (Posted on 2004-02-25) Difficulty: 4 of 5
A b-palindrome is an integer that is a palindrome in base b.

Show how to find a number that is a b-palindrome, of at least three digits, for at least 1000 different values of b.

For example, 200 is not a 10-palindrome, but it is a 9-palindrome (242) and a 7-palindrome (404).

No Solution Yet Submitted by DJ    
Rating: 4.0000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: A solution -- oh, I see | Comment 3 of 11 |
(In reply to A solution by Charlie)

Oh, I see it's 1000 different values of b.  Substitute 1000 for the 100 in my solution.

If both my solution and Brian Smith's withstand scrutiny (it does get a little confusing keeping track of those powers of 2), 2^(2^1001) is smaller than 2^(1002!), as 2^1001 is a 302-digit number and 1002! is a 2,574-digit number.

Edited on February 25, 2004, 3:58 pm
  Posted by Charlie on 2004-02-25 15:43:50

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