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In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
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.
This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative : many famous topics in number theory have origins in challenging problems posed purely for their own sake.
For example, p = 10 11310 + 4661664 × 10 5652 + 1, which has q = 11311 digits, and 11311 has r = 5 digits. The first (base-10) triply palindromic prime is the 11-digit number 10000500001. The first (base-10) triply palindromic prime is the 11-digit number 10000500001.
For example: automobile car This template should not be used to tag redirects that are taxonomic synonyms . For taxonomic synonyms use {{ R from alternative scientific name }} instead .
There are finitely many natural numbers less than , so the number is guaranteed to reach a periodic point or a fixed point less than , making it a preperiodic point. For b = 2 {\displaystyle b=2} , the number of digits k ≤ n {\displaystyle k\leq n} for any number, once again, making it a preperiodic point.
An example spangram with corresponding theme words: PEAR, FRUIT, BANANA, APPLE, etc. Need a hint? Find non-theme words to get hints. For every 3 non-theme words you find, you earn a hint.
Quinary (base 5 or pental [1] [2] [3]) is a numeral system with five as the base.A possible origination of a quinary system is that there are five digits on either hand.. In the quinary place system, five numerals, from 0 to 4, are used to represent any real number.
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