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Euler's totient function - Wikipedia
In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the ... en.wikipedia.org
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totient - Wiktionary, the free dictionary
(mathematics) The number of positive integers not greater than a specified integer that are relatively prime to it. Related terms. edit · Euler's totient ... en.wiktionary.org
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Totient Function -- from Wolfram MathWorld
The totient function phi(n), also called Euler's totient function, is defined as the number of positive integers <=n that are relatively prime to. mathworld.wolfram.com
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totient
totient Math. (ˈtəʊʃənt) [irreg. f. L. totiēs, totiens, f. tot so many, after quotient.] The number of numbers (including unity) less than and prime to a given number. So totitive (ˈtɒtɪtɪv) [irreg. f. L. tot + -itive in such words as primitive, unitive], any one of such numbers in relation to the g... Oxford English Dictionary
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Math Origins: The Totient Function
Leonhard Euler's totient function, φ(n), is an important object in number theory, counting the number of positive integers less than or equal to n which are ... old.maa.org
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Perfect totient number - Wikipedia
In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function ... en.wikipedia.org
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Highly totient number
A highly totient number is an integer that has more solutions to the equation , where is Euler's totient function, than any integer below it. , 34, 37, 38, 49, 54, and 72 totient solutions respectively. wikipedia.org
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Euler's Totient Function - GeeksforGeeks
Euler's Totient function Φ(n) for an input n is the count of numbers in {1, 2, 3, ..., n-1} that are relatively prime to n. www.geeksforgeeks.org
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nt.number theory - What is a totient? - MathOverflow
A linguistic remark: The Latin word "totiens" (or "toties") means "that/so many times". Similarly "quotie(n)s?" means "how many times?" and most ... mathoverflow.net
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Euler's totient function - Algorithms for Competitive Programming
Euler's theorem and Euler's totient function occur quite often in practical applications, for example both are used to compute the modular ... cp-algorithms.com
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Why is Euler's Totient function always even?
You can do it via the formula as you do, but you can also simply use the definition that ϕ(n) is the number of numbers k, with 1≤k≤n, ... math.stackexchange.com
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Euler's Totient Function | Brilliant Math & Science Wiki
Euler's totient function (also called the Phi function) counts the number of positive integers less than n n n that are coprime to n n n. brilliant.org
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Perfect totient number
, so 9 is a perfect totient number. Not all p of this form lead to perfect totient numbers; for instance, 51 is not a perfect totient number. wikipedia.org
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Totient-like function I have number written as factors for instance: n = 2 * 3 * 3 * 5. What I have to do is find how many numbers between <1, n) are co-prime to n, which means GCD = 1. It can simply be done using Eul...
Let $n > 1$, and let $d < n$ be a positive divisor of $n$. You want to count the number of elements of the set $$ A = \\{ a : 0 \le a < n, \gcd(a, n) = d \\}. $$ Note that if $a \in A$, then $\gcd\left(\dfrac{a}{d}, \dfrac{n}{d}\right) = 1$, so $\dfrac{a}{d} \in B$, where $$ B = \left\\{ b : 0 \le b...
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Sparsely totient number
In mathematics, a sparsely totient number is a certain kind of natural number. A natural number, n, is sparsely totient if for all m > n, where is Euler's totient function. wikipedia.org
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