![]() Using the distributive property, any four digit palindrome can be written as x(1001) + y(110) where x is some integer between 1 and 9, inclusive, and y is some integer between 0 and 9, inclusive. A palindrome is a word or phrase where the letters read backwards, give the same word or phrase, eg: the phrase ‘Madam I’m Adam’, with the reply ‘Eve’. The longest known palindromic word is saippuakivikauppias (19 letters), which is Finnish for a dealer in lye (caustic soda).
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