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Ziaahmed812

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Error in Maple code...

Ziaahmed812 25 Maple 2018
procedure
August 16 2021
2 6

I have made a procedure named Eratosthenes that will return a sequence of all the primes less than some given number N which must be a positive integer. However, I couldn't figure out the error but still, the code is not working either. Can anyone please go through my code to let me know if I have a mistake? Thanks.

> 

Eratosthenes := proc (N::posint) local L, primeslist, n, k; description "Calculate all primes less than or equal to N"; L := Array(2 .. N, proc (i) options operator, arrow; true end proc); for n from 2 to trunc(sqrt(N)) do if L__n = true then for k from n while k*n <= N do `L__k*n` := false end do end if end do; primeslist := NULL; for n from 2 to N do if L__n = true then primeslist := primeslist, n end if end do; primeslist end proc:

Warning, ``L__k*n`` is implicitly declared local to procedure `Eratosthenes`

  

``NULL


 

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Couldn't solve the following using Maple...

Ziaahmed812 25 Maple 2018
recurrence
August 16 2021
2 6

I have been trying to solve the following question using Maple for quite some time but couldn't do it. Any guide will be highly appreciated. 

P.S: I have just started learning it by myself in the last few days. I have been following An Introduction to Modern Mathematical Computing: With Maple. If you could suggest a more useful text, that would be helpful.

Please find the question below.

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