Python: Whether an integer greater than 4^4 which is 4 mod 34

Last update on May 30 2025 11:48:30 (UTC/GMT +8 hours)

Integer Greater Than 444^444 and Mod 34

Write a Python program that accepts an integer and determines whether it is greater than 4^4 and which is 4 mod 34.

Input:
922
Output:
True

Input:
914
Output:
False

Input:
854
Output:
True

Input:
854
Output:
True

Visual Presentation:

Sample Solution:

Python Code:

# License: https://bit.ly/3oLErEI

# Define a function named 'test' that takes an integer 'n' as input
def test(n):
    # Check if 'n' is congruent to 4 modulo 34 and greater than 4^4
    return n % 34 == 4 and n > 4 ** 4

# Assign a specific integer 'n' to the variable
n = 922

# Print the original integer
print("Original Integer:")
print(n)

# Print the result of the test function applied to the integer 'n'
print("Check whether the said integer greater than 4^4 and which is 7 mod 134 :")
print(test(n))

# Assign a different integer 'n' to the variable
n = 914

# Print the original integer
print("\nOriginal Integer:")
print(n)

# Print the result of the test function applied to the modified integer 'n'
print("Check whether the said integer greater than 4^4 and which is 7 mod 134 :")
print(test(n))

# Assign another integer 'n' to the variable
n = 854

# Print the original integer
print("\nOriginal Integer:")
print(n)

# Print the result of the test function applied to the modified integer 'n'
print("Check whether the said integer greater than 4^4 and which is 7 mod 134 :")
print(test(n))

# Print the original integer again (note: the variable 'n' retains its previous value)
print("\nOriginal Integer:")
print(n)

# Print the result of the test function applied to the integer 'n' (no modification to 'n' since the previous assignment)
print("Check whether the said integer greater than 4^4 and which is 7 mod 134 :")
print(test(n))

Sample Output:

Original Integer:
922
Check whether the said integer greater than 4^4 and which is 7 mod 134 :
True

Original Integer:
914
Check whether the said integer greater than 4^4 and which is 7 mod 134 :
False

Original Integer:
854
Check whether the said integer greater than 4^4 and which is 7 mod 134 :
True

Original Integer:
854
Check whether the said integer greater than 4^4 and which is 7 mod 134 :
True

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to check if an integer is greater than 4 raised to the power 4 and has a remainder of 4 when divided by 34.
• Write a Python program to verify the condition using modular arithmetic and exponentiation without using the pow() function.
• Write a Python program to determine if a given integer satisfies both being larger than 4^4 and congruent to 4 modulo 34 using bitwise operators where possible.
• Write a Python program to implement this check in a functional style using lambda functions and filter.

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Python Code Editor :

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