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Non-palindromic numbers can be paired with palindromic ones via a series of operations. First, the non-palindromic number is reversed and the result is added to the original number. If the result is not a palindromic number, this is repeated until it gives a palindromic number. Such number is called "a delayed palindrome".
It is not known if there are infinitely many palindromic primes in base 10. For any base, almost all palindromic numbers are composite, [2] i.e. the ratio between palindromic composites and all palindromes less than n tends to 1. A few decorative examples do however exist; in base 10 the following are primes:
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
In recreational mathematics, palindromic numbers with special properties are sought. For example, 191 and 313 are palindromic primes. Whether Lychrel numbers exist is an unsolved problem in mathematics about whether all numbers become palindromes when they are continuously reversed and added. For example, 56 is not a Lychrel number as 56 + 65 ...
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.
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A number that has fewer digits than the number of digits in its prime factorization (including exponents). A046760: Pandigital numbers: 1023456789, 1023456798, 1023456879, 1023456897, 1023456978, 1023456987, 1023457689, 1023457698, 1023457869, 1023457896, ... Numbers containing the digits 0–9 such that each digit appears exactly once. A050278
Because the number 5 is approximately shaped like the letter S, the number 6 like a lowercase b, the number 9 like the letter g, it is possible to play on these similarities to design ambigrams. A good example is the Sochi 2014 (Olympic games) logo where the four glyphs contained in 2014 are exact symmetries of the four letters S, o, i and h ...