Lucky and even lucky numbers: Difference between revisions

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(added a draft task: lucky and even lucky numbers.)
 
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{{draft task}}
{{draft task}}
'''definition of lucky numbers'''


''Lucky numbers'' are positive integers that are formed by:
''Lucky numbers'' are positive integers that are formed by:
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:* take the 6<sup>th</sup> number ···
:* take the 6<sup>th</sup> number ···
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'''definition of even lucky numbers'''

''Even lucky numbers'' are positive even integers that are formed by:
''Even lucky numbers'' are positive even integers that are formed by:
:* take a list of all the positive even integers
:* take a list of all the positive even integers
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:* remove every 12<sup>th</sup> number
:* remove every 12<sup>th</sup> number
:* take the 6<sup>th</sup> number ···
:* take the 6<sup>th</sup> number ···
<br>The task's requirements are:


'''task requirements'''
* write one or two subroutines (functions) to generate ''lucky numbers'' and ''even lucky numbers''
* write one or two subroutines (functions) to generate ''lucky numbers'' and ''even lucky numbers''
* which kind of numbers and which number(s) will be specified via the command line or a similar interface.
* which kind of numbers and which number(s) will be specified via the command line or a similar interface.
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* show the 10,000<sup>th</sup> ''lucky'' number (extra credit)
* show the 10,000<sup>th</sup> ''lucky'' number (extra credit)
* show the 10,000<sup>th</sup> ''even lucky'' number (extra credit)
* show the 10,000<sup>th</sup> ''even lucky'' number (extra credit)
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'''see also'''
* This task is related to the [[Sieve of Eratosthenes]] task.
* Sequence [https://oeis.org/A000959 A000959 lucky numbers] on The On-Line Encyclopedia of Integer Sequences.
* Sequence [https://oeis.org/A045954 A045954 even lucky numbers or ELN] on The On-Line Encyclopedia of Integer Sequences.
* Entry [http://mathworld.wolfram.com/LuckyNumber.html lucky numbers] on The Eric Weisstein's World of Mathematics.
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