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prime_enumeration [2016/05/24 19:39] nikolaj |
prime_enumeration [2016/05/24 19:39] nikolaj |
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==== Function ==== | ==== Function ==== | ||
- | | @#FF9944: definition | @#FF9944: $p : {\mathbb N}\to{\mathbb P}$ | | + | | @#FF9944: definition | @#FF9944: $p : {\mathbb N}^+\to{\mathbb P}$ | |
- | | @#FF9944: definition | @#FF9944: $p(0):=2$ | | + | | @#FF9944: definition | @#FF9944: $p(1):=2$ | |
| @#FF9944: definition | @#FF9944: $p(n+1):={\mathrm{min}}({\mathbb P}\setminus{X_n})$ | | | @#FF9944: definition | @#FF9944: $p(n+1):={\mathrm{min}}({\mathbb P}\setminus{X_n})$ | | ||
| @#BBDDEE: with | @#BBDDEE: $X_n\equiv\{m\in{\mathbb P}\mid m\le p(n)\}$ | | | @#BBDDEE: with | @#BBDDEE: $X_n\equiv\{m\in{\mathbb P}\mid m\le p(n)\}$ | |