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  2. Palindromic number - Wikipedia

    en.wikipedia.org/wiki/Palindromic_number

    The only known non-palindromic number whose cube is a palindrome is 2201, and it is a conjecture the fourth root of all the palindrome fourth powers are a palindrome with 100000...000001 (10 n + 1). Gustavus Simmons conjectured there are no palindromes of form n k for k > 4 (and n > 1).

  3. Longest palindromic substring - Wikipedia

    en.wikipedia.org/wiki/Longest_palindromic_substring

    Since the palindrome at the MirroredCenter is "aba" and extends beyond the boundaries of the "Old" palindrome, we know the longest palindrome at the second "b" can only extend up to the border of the "Old" palindrome. We know this because if the character after the "Old" palindrome had been an "a" instead of a "c", the "Old" palindrome would ...

  4. Palindrome tree - Wikipedia

    en.wikipedia.org/wiki/Palindrome_Tree

    In computer science a palindrome tree, also called an EerTree, [1] is a type of search tree, that allows for fast access to all palindromes contained in a string.They can be used to solve the longest palindromic substring, the k-factorization problem [2] (can a given string be divided into exactly k palindromes), palindromic length of a string [3] (what is the minimum number of palindromes ...

  5. Palindrome - Wikipedia

    en.wikipedia.org/wiki/Palindrome

    A palindrome (/ˈpæl.ɪn.droʊm) is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as madam or racecar, the date "22/02/2022" and the sentence: "A man, a plan, a canal – Panama".

  6. Lychrel number - Wikipedia

    en.wikipedia.org/wiki/Lychrel_number

    He wrote a C program to perform the reversal and addition iterations and to check for a palindrome after each step. The program ran in the background with a low priority and produced a checkpoint to a file every two hours and when the system was shut down, recording the number reached so far and the number of iterations.

  7. Palindromic prime - Wikipedia

    en.wikipedia.org/wiki/Palindromic_prime

    In mathematics, a palindromic prime (sometimes called a palprime [1]) is a prime number that is also a palindromic number.Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such concerns.

  8. List of English palindromic phrases - Wikipedia

    en.wikipedia.org/wiki/List_of_English...

    A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the sentence: "A man, a plan, a canal – Panama". ". Following is a list of palindromic phrases of two or more words in the English language, found in multiple independent collections of palindromic phra

  9. Thue–Morse sequence - Wikipedia

    en.wikipedia.org/wiki/Thue–Morse_sequence

    This graphic demonstrates the repeating and complementary makeup of the Thue–Morse sequence. In mathematics, the Thue–Morse or Prouhet–Thue–Morse sequence is the binary sequence (an infinite sequence of 0s and 1s) that can be obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained thus far. [1]