RosettaCodeData/Task/Extensible-prime-generator/00DESCRIPTION

;Task:
Write a generator of prime numbers, in order, that will automatically adjust to accommodate the generation of any reasonably high prime.

The routine should demonstrably rely on either:
# Being based on an open-ended counter set to count without upper limit other than system or programming language limits. In this case, explain where this counter is in the code.
# Being based on a limit that is extended automatically. In this case, choose a small limit that ensures the limit will be passed when generating some of the values to be asked for below.
# If other methods of creating an extensible prime generator are used, the algorithm's means of extensibility/lack of limits should be stated.


The routine should be used to:
* Show the first twenty primes.
* Show the primes between 100 and 150.
* Show the ''number'' of primes between 7,700 and 8,000.
* Show the 10,000th prime.

<br>
Show output on this page.

'''Note:''' You may reference code already on this site if it is written to be imported/included, then only the code necessary for import and the performance of this task need be shown. (It is also important to leave a forward link on the referenced tasks entry so that later editors know that the code is used for multiple tasks).

'''Note 2:''' If a languages in-built prime generator is extensible or is guaranteed to generate primes up to a system limit, (2<sup>31</sup> or memory overflow for example), then this may be used as long as an explanation of the limits of the prime generator is also given. (Which may include a link to/excerpt from, language documentation).

;nice site to check results:
Website with vast count of primes. Small ones for the first 10000 and up to 1,000,000,000,000 aka 1E12, divided in subranges : "Each compressed file contains 10 million primes" <br>
http://www.primos.mat.br/indexen.html
<br>

* The task is written so it may be useful in solving the task &nbsp; [[Emirp primes]] &nbsp; as well as others (depending on its efficiency).
<br>
<br>
2016 Update 2016-12-05 22:15:40 +01:00			`;Task:`
			`Write a generator of prime numbers, in order, that will automatically adjust to accommodate the generation of any reasonably high prime.`
Update all new Tasks 2015-02-20 09:02:09 -05:00
			`The routine should demonstrably rely on either:`
			`# Being based on an open-ended counter set to count without upper limit other than system or programming language limits. In this case, explain where this counter is in the code.`
			`# Being based on a limit that is extended automatically. In this case, choose a small limit that ensures the limit will be passed when generating some of the values to be asked for below.`
			`# If other methods of creating an extensible prime generator are used, the algorithm's means of extensibility/lack of limits should be stated.`

2016 Update 2016-12-05 22:15:40 +01:00
Update all new Tasks 2015-02-20 09:02:09 -05:00			`The routine should be used to:`
			`* Show the first twenty primes.`
			`* Show the primes between 100 and 150.`
			`* Show the ''number'' of primes between 7,700 and 8,000.`
			`* Show the 10,000th prime.`

2016 Update 2016-12-05 22:15:40 +01:00			`<br>`
Update all new Tasks 2015-02-20 09:02:09 -05:00			`Show output on this page.`

			`'''Note:''' You may reference code already on this site if it is written to be imported/included, then only the code necessary for import and the performance of this task need be shown. (It is also important to leave a forward link on the referenced tasks entry so that later editors know that the code is used for multiple tasks).`

			`'''Note 2:''' If a languages in-built prime generator is extensible or is guaranteed to generate primes up to a system limit, (2<sup>31</sup> or memory overflow for example), then this may be used as long as an explanation of the limits of the prime generator is also given. (Which may include a link to/excerpt from, language documentation).`

September Morn Update 2019-09-12 10:33:56 -07:00			`;nice site to check results:`
			`Website with vast count of primes. Small ones for the first 10000 and up to 1,000,000,000,000 aka 1E12, divided in subranges : "Each compressed file contains 10 million primes" <br>`
			`http://www.primos.mat.br/indexen.html`
			`<br>`
September 2017 Update 2017-09-23 10:01:46 +02:00
			`* The task is written so it may be useful in solving the task   [[Emirp primes]]   as well as others (depending on its efficiency).`
September Morn Update 2019-09-12 10:33:56 -07:00			`<br>`
			`<br>`