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In computational number theory, a factor base is a small set of prime numbers commonly used as a mathematical tool in algorithms involving extensive sieving for potential factors of a given integer.
Usage in factoring algorithms, Algorithms & Overview
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factor base used displaystyle prime factors integer algorithms mod pmod number set generate linear small numbers sieving equiv practice rows
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Factor base | is a | small set of prime numbers commonly used as a mathematical tool in algorithms involving extensive sieving for potential factors of a given integer | 0.90 | text |
| Factor base | is a | relatively small set of distinct prime numbers P | 0.90 | text |
| Gaussian elimination | instance of | which can be solved using numerous methods | 0.80 | text |
| Factor base | related to Algorithms | Factor | 0.60 | section |
| Factor base | related to Algorithms | Dixon's | 0.60 | section |
| Factor base | related to Algorithms | The | 0.60 | section |
| Factor base | related to Algorithms | Index | 0.60 | section |
| Factor base | related to Usage in factoring algorithms | Suppose | 0.60 | section |
| Factor base | related to Usage in factoring algorithms | We | 0.60 | section |
| Factor base | related to Usage in factoring algorithms | In | 0.60 | section |
| Factor base | related to Usage in factoring algorithms | Linear | 0.60 | section |
| Factor base | related to Usage in factoring algorithms | This | 0.60 | section |
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