What does noncototient mean?
Definitions for noncototient
non·co·to·tient
This dictionary definitions page includes all the possible meanings, example usage and translations of the word noncototient.
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Wiktionary
noncototientnoun
An integer that cannot be expressed as the difference between a positive integer and the number of coprime integers below it
Wikidata
Noncototient
In mathematics, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime integers below it. That is, m − φ = n, where φ stands for Euler's totient function, has no solution for m. The cototient of n is defined as n − φ, so a noncototient is a number that is never a cototient. It is conjectured that all noncototients are even. This follows from a modified form of the Goldbach conjecture: if the even number n can be represented as a sum of two distinct primes p and q, then It is expected that every even number larger than 6 is a sum of distinct primes, so probably no odd number larger than 5 is a noncototient. The remaining odd numbers are covered by the observations and . The first few noncototients are: 10, 26, 34, 50, 52, 58, 86, 100, 116, 122, 130, 134, 146, 154, 170, 172, 186, 202, 206, 218, 222, 232, 244, 260, 266, 268, 274, 290, 292, 298, 310, 326, 340, 344, 346, 362, 366, 372, 386, 394, 404, 412, 436, 466, 470, 474, 482, 490, 518, 520 Erdős and Sierpinski asked whether there exist infinitely many noncototients. This was finally answered in the affirmative by Browkin and Schinzel, who showed every member of the infinite family is an example. Since then other infinite families, of roughly the same form, have been given by Flammenkamp and Luca.
Numerology
Chaldean Numerology
The numerical value of noncototient in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of noncototient in Pythagorean Numerology is: 2
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"noncototient." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/noncototient>.
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