Logic Visualizer | Python

Visual Prime Generator

The pseudocode illustrates functions for prime number generation: checking prime status and creating a list of prime numbers. Flowchart explains logic flow using functions, conditionals, and loops.


Empty image or helper icon

Prompt

def is_prime(num):
    if num < 2:
        return False
    for i in range(2, int(num ** 0.5) + 1):
        if num % i == 0:
            return False
    return True

def generate_primes(n):
    primes = []
    num = 2
    while len(primes) < n:
        if is_prime(num):
            primes.append(num)
        num += 1
    return primes

print(generate_primes(10))

Answer

Visual Representation: Prime Number Generation

FUNCTION is_prime(num)
    IF num < 2 THEN
        RETURN False
    END IF
    FOR i FROM 2 TO INT(SQUARE ROOT OF num) + 1
        IF num MOD i = 0 THEN
            RETURN False
        END IF
    END FOR
    RETURN True
END FUNCTION

FUNCTION generate_primes(n)
    primes = []
    num = 2
    WHILE LENGTH OF primes < n
        IF is_prime(num) THEN
            APPEND num TO primes
        END IF
        num = num + 1
    END WHILE
    RETURN primes
END FUNCTION

primes = generate_primes(10)

Flowchart Description:

  • The flowchart depicts two functions: is_prime(num) and generate_primes(n).
  • is_prime(num) checks if a number is prime.
  • generate_primes(n) generates a list of prime numbers up to n elements.
  • The flow of logic includes checking if a number is less than 2, finding prime numbers, and adding them to the list until the desired number of primes are found.

Key Components:

  • Variables: primes, num
  • Functions: is_prime(num), generate_primes(n)
  • Conditionals: IF..ELSE statements
  • Looping Structure: FOR loop to check for prime numbers and WHILE loop to generate prime numbers

Annotations:

  1. is_prime(num): Checks if a number is prime by iterating up to the square root of the number.
  2. generate_primes(n): Generates n prime numbers by repeatedly checking numbers starting from 2.
  3. The while loop adds prime numbers found by is_prime(num) to the primes list until reaching n prime numbers.

This visual representation simplifies the process of generating prime numbers and clarifies the flow of logic for easy comprehension.

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Description

The pseudocode illustrates functions for prime number generation: checking prime status and creating a list of prime numbers. Flowchart explains logic flow using functions, conditionals, and loops.

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