PYTHON PROGRAM • PATTERNS & NUMBER PROBLEMS
Check a Prime Number in Python
Learn check a prime number in python with a short, executable Python example.
PROBLEM UNDERSTANDING
Input and expected output
Sample input
No input required
Sample output
True
COMPLETE PYTHON PROGRAM
Complete Python implementation
number = 29 is_prime = number > 1 and all(number % divisor for divisor in range(2, int(number ** 0.5) + 1)) print(is_prime)
CURRENT STEP
SELECTED LINE
EXPECTED OUTPUT FOR THE SAMPLE
True
Step 0 of 0
PROGRAM EXPLANATION
Algorithm and explanation
- Initialize the sample values used to check a prime number.
- Process the data step by step using all() and Prime.
- Display the result for check a prime number and compare it with the documented sample output.
This example of check a prime number processes the sample values in a controlled iteration. It demonstrates all(), Prime, and Generator expression and prints a deterministic result that can be checked against the sample output.
EFFICIENCY
Time and space complexity
Time complexity
O(√n)
Auxiliary space
O(1)
DEBUGGING CHECKLIST
Common mistakes
Check this
For check a prime number, keep the data shape and value types consistent with all().
Check this
Keep every dependent statement inside the correct indented Python block.
Check this
Verify the final all() and Prime result against the sample before trying new data.
Try it yourself
Practice: Run the program with the sample input, predict its output, and then test one boundary case of your own.
