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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.
Symbol of Belphegor's prime, represented by the Greek letter π upside down. Belphegor's prime is the palindromic prime number 1 000 000 000 000 066 600 000 000 000 001 (10 30 + 666 × 10 14 + 1), a number which reads the same both backwards and forwards and is only divisible by itself and one.
For example 111111111111111 (15 digits) is divisible by 111 and 11111 in that base. If a number m can be expressed as a string of prime length to some base, such a number may or may not be prime, but commonly is not; for example, to base 10, there are only three such numbers of length less than 100 (1 is by definition, not prime). The three are:
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A palindrome 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".
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
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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.