Enter a number to check if it's a strong prime, or provide a range to generate all strong primes within it.
Strong Prime Check or Generate
Result
Result
What is a Strong Prime?
A strong prime is a prime number \( p \) that is greater than the average of its two nearest neighboring primes. In simpler terms, if a prime number is larger than the mean of the prime numbers immediately before and after it, it is classified as a strong prime.
How to Determine if a Number is a Strong Prime
Check Primality: Verify that \( p \) is a prime number.
Find Neighboring Primes: Identify the prime numbers immediately before (\( p_1 \)) and after (\( p_2 \)) \( p \).
Calculate the Average: Compute the mean of the neighboring primes using the formula: \( \text{average} = \frac{p_1 + p_2}{2} \).
Compare: If \( p > \text{average} \), \( p \) is a strong prime; otherwise, it is not.