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Posted by Andy Brown on 05 September 2021
This video explains how to create loops which execute while a particular condition is true (and how to break out of these loops), how to print messages more neatly and how to use ranges to loop over sequences of numbers.
This video has the following accompanying files:
|List even squares.py||Python code||Using a while loop to list out the first N even squares|
|Fizz buzz.py||Python code||Listing out the first N numbers divisible by 3|
|Greet pets.py||Python code||Using variables when printing to greet cats by name|
|List math terms.py||Python code||Listing out cubes and reciprocals nicely formatted|
|Range syntax.py||Python code||Syntax of range with one to three arguments|
|Range example.py||Python code||Using range to list out the first N cubes|
|Prime numbers.py||Python code||Nested ranges listing out prime numbers|
Click to download a zipped copy of the above files.
After watching this video, you may like to test your understanding by doing one or more of the following exercises:
|Use the range and format functions to loop down from 10 to 1 displaying a countdown message||Easy|
|Use the range and format functions to list the square roots of the first 100 integers||Standard|
|Use the range function in an outer loop to find all the primes up to 100 using an inner loop||Hard|
|Print out ever-more-accurate estimates of the value of pi using the Leibniz series||Hard|
You can also download the answers to each exercise from the links above.
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|When:||19 Dec 21 at 16:00|
Does changing the range for prime test to
for possible_prime in range(2,int(test_number/2)):
will make code more effiecient.
|When:||20 Dec 21 at 09:27|
The algorithm given is to teach Python, and doesn't claim to be efficient. A simple improvement would be to test from 2 up to the square root of the possible prime, rather than half of it, on the grounds that two factors of a prime can't both be greater than its square root, otherwise when you multiplied them together you'd get a number greater than the prime. There are many better tests for primeness than this, though.
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