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==Definition==
==Definition==


A positive rational number q belongs to the minp-maxp-f-mmpfactor-limit, called the '''minimal and maximal primes factor limit''', for a given prime number minp, a given prime number maxp with maxp>=minp and a given positive integer f if and only if the mininal prime of q factorization into primes is more than or equal to minp, the maximal prime number into q factorization into primes is maxp, and the sum of the exponent absolutes of q factorization into primes is less than or equal to f.
A positive rational number q belongs to the minp-maxp-f-mmpfactor-limit, called the '''minimal and maximal primes factor limit''', for a given prime number minp, a given prime number maxp with maxp>=minp and a given positive integer f if and only if the mininal prime of q factorization into primes is more than or equal to minp, the maximal prime number into q factorization into primes is less than or equal to maxp, and the sum of the exponent absolutes of q factorization into primes is less than or equal to f.


===Examples===
===Examples===
* 5-7-2-mmpfactor-limit contains only 5*7, 5<sup>-1</sup>*7<sup>-1</sup>, 5<sup>-1</sup>*7, 5*7<sup>-1</sup>, 7, 7<sup>2</sup>
* 5-7-2-mmpfactor-limit contains only 5, 5<sup>2</sup>, 5*7, 5<sup>-1</sup>*7<sup>-1</sup>, 5<sup>-1</sup>*7, 5*7<sup>-1</sup>, 7, 7<sup>2</sup>


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