THE PUZZLET PAGE


PUZZLET 096

Palindromic Waves

404 x 58 = 23432.  927 x 68 = 63036.

In each case, the product of a 2-digit and a 3-digit integer is a 5-digit "wave" number. This is an integer whose digits rise (or fall) in an arithmetic progression from the beginning to the middle and then fall (or rise) in exactly the reverse manner to the end. So it turns out that they're all palindromes as well.


Wave Numbers
Find all possible 5-digit wave numbers which are the products of a 2-digit and a 3-digit integer.



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Last Updated: January 13th, 2010.