If the sequence a lists the Higgs primes, then
is the smallest prime greater than
such that
divides the product
. The first four Higgs primes are 2, 3, 5, and 7. Therefore, the next one is 11 because 11-1 = 10 divides
.
Write a function to determine whether a number is a Higgs prime.
Solution Stats
Problem Comments
2 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers6
Suggested Problems
-
Get the area codes from a list of phone numbers
1075 Solvers
-
451 Solvers
-
1442 Solvers
-
Sum the elements in either diagonal of a square matrix
222 Solvers
-
Find and replace the zero array in a matrix
43 Solvers
More from this Author326
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Well, here is the Python function to check whether a number is higgs prime or not.
def is_higgs_prime(number):
# List of the first four Higgs primes
higgs_primes = [2, 3, 5, 7]
# Check if the number is less than 11 or not a prime number
if number <= 7 or not is_prime(number):
return False
# Check if (number - 1) divides the product of the first four Higgs primes
product = 2 * 3 * 5 * 7
return (number - 1) % product == 0
def is_prime(n):
if n <= 1:
return False
elif n <= 3:
return True
elif n % 2 == 0 or n % 3 == 0:
return False
i = 5
while i * i <= n:
if n % i == 0 or n % (i + 2) == 0:
return False
i += 6
return True
# Example usage:
number_to_check = 11
if is_higgs_prime(number_to_check):
print(f"{number_to_check} is a Higgs prime.")
else:
print(f"{number_to_check} is not a Higgs prime.")
Thanks
@Gulshan have you tried that Python solution with the numbers from the test suite?