PYTHON PROGRAM • PATTERNS & NUMBER PROBLEMS

Check a Prime Number in Python

Learn check a prime number in python with a short, executable Python example.

Beginnerall()PrimeGenerator expression

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
True

COMPLETE PYTHON PROGRAM

Complete Python implementation

python-prime-check.py
Open in compiler
number = 29
is_prime = number > 1 and all(number % divisor for divisor in range(2, int(number ** 0.5) + 1))
print(is_prime)

GUIDED CODE TOUR • NOT LIVE EXECUTION

Study the program line by line

Use the real compiler button above to run and debug with different inputs.

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

No line selected

EXPECTED OUTPUT FOR THE SAMPLE

True
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Initialize the sample values used to check a prime number.
  2. Process the data step by step using all() and Prime.
  3. 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.