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A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful. The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd. The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd.
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A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem , there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes .
It associates all numbers 00-99 with a distinctive person, action and object. Any six-digit number can be memorized by using the person assigned the first two digits, the action of the next two digits and the object of the third. [3] For example: The number 34 could be Frank Sinatra. 13 could be the action of kicking. 79 could be a cape.
So too are the thousands, with the number of thousands followed by the word "thousand". The number one thousand may be written 1 000 or 1000 or 1,000; larger numbers are written for example 10 000 or 10,000 for ease of reading. European languages that use the comma as a decimal separator may correspondingly use the period as a thousands separator.
1234 = number of parts in all partitions of 30 into distinct parts, [45] smallest whole number containing all numbers from 1 to 4; 1235 = excluding duplicates, contains the first four Fibonacci numbers [191] 1236 = 617 + 619: sum of twin prime pair [192] 1237 = prime of the form 2p-1; 1238 = number of partitions of 31 that do not contain 1 as a ...
If the value is "on", the output is an ordinal number, otherwise it is a cardinal number. us: Optional. If the value is "on", the output of numbers does not include "and" to separate hundreds from smaller values, nor to separate thousands from hundreds. This accords with American usage as described at English numerals.
Widespread sounding of the word occurs through the name of the company Google, with the name "Google" being an accidental misspelling of "googol" by the company's founders, [9] which was picked to signify that the search engine was intended to provide large quantities of information. [10]
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