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An explanation and Python implementation of Manacher's linear-time algorithm. Jeuring, Johan (2007–2010), Palindromes. Haskell implementation of Jeuring's linear-time algorithm. Palindromes (deadlink). Java implementation of Manacher's linear-time algorithm.
Palindromic primes: prime numbers whose decimal expansion is a palindrome In mathematics, a palindromic prime (sometimes called a palprime [ 1 ] ) is a prime number that is also a palindromic number .
A number that is non-palindromic in all bases b in the range 2 ≤ b ≤ n − 2 can be called a strictly non-palindromic number. For example, the number 6 is written as "110" in base 2, "20" in base 3, and "12" in base 4, none of which are palindromes. All strictly non-palindromic numbers larger than 6 are prime.
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 ...
The number 59 becomes a palindrome after three iterations: 59 + 95 = 154; 154 + 451 = 605; 605 + 506 = 1111, so 59 is not a Lychrel number either. Numbers such as 196 are thought to never become palindromes when this reversal process is carried out and are therefore suspected of being Lychrel numbers.
A Lychrel number is a natural number that cannot form a palindrome through the iterative process of repeatedly reversing its digits and adding the resulting numbers. This process is sometimes called the 196-algorithm , after the most famous number associated with the process.
A palindromic place is a city or town whose name can be read the same forwards or backwards. An example of this would be Navan in Ireland. Some of the entries on this list are only palindromic if the next administrative division they are a part of is also included in the name, such as Adaven, Nevada.
A Belphegor number is a palindromic number in the form of () ().The sequence of the first four Belphegor numbers is: ,,,, … Dubner noticed that 16661 is a prime number. By adding zeroes directly on both sides of the 666, Dubner found more palindromic prime numbers, including the Belphegor prime, which is second in the sequence.