User:Contribution/Limit: Difference between revisions

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See [[User:Contribution/Minimal_Prime_Limit|minimal prime limit]]
See [[User:Contribution/Minimal_Prime_Limit|minimal prime limit]]


In other words, a positive rational number q belongs to the pmin-min-prime-limit if and only if all primes of its factorization into primes are left-bounded to pmin.
A positive rational number q belongs to the pmin-min-prime-limit if and only if all primes of its factorization into primes are left-bounded to pmin.


==Maximal prime limit==
==Maximal prime limit==
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Also called [[harmonic limit]].
Also called [[harmonic limit]].


A positive rational number q belongs to the pmax-limit, called the '''maximal prime limit''', for a given prime number pmax if and only if it can be factored into primes (with positive or negative integer exponents) of size less than or equal to pmax.
A positive rational number q belongs to the pmax-max-prime-limit if and only if all primes of its factorization into primes are right-bounded to pmax.
 
In other words, a positive rational number q belongs to the pmax-limit if and only if all primes of its factorization into primes are right-bounded to pmax.


==Minimal factor limit==
==Minimal factor limit==