How long does it take to calculate prime numbers?

p = 2 / n log b. The expected value is 1 / p. So, for example, if you wanted to find a 256-bit prime, you would need to test on average 256 log(2) / 2 = 89 candidates. And if you wanted to find a 100-digit prime, you’d need to test on average 100 log(10) / 2 = 115 candidates.

What is the prime factorization of 9999?

Solution: Since, the prime factors of 9999 are 3, 11, 101. Therefore, the product of prime factors = 3 × 11 × 101 = 3333.

Is prime number C#?

To calculate whether a number is prime or not, we have used a for a loop. Within that on every iteration, we use an if statement to find that the remainder is equal to 0, between the number itself.

What is the fastest prime number testing algorithm?

Until now, I believe that the fastest prime number testing algorithm is Strong Probable Prime (SPRP). I am quoting from Nvidia CUDA forums: One of the more practical niche problems in number theory has to do with identification of prime numbers. Given N, how can you efficiently determine if it is prime or not?

What is the most efficient way to generate prime numbers?

In computational number theory, a variety of algorithms make it possible to generate prime numbers efficiently. These are used in various applications, for example hashing, public-key cryptography, and search of prime factors in large numbers. For relatively small numbers, it is possible to just apply trial division to each successive odd number.

What is the fastest algorithm for a Mersenne prime number?

A Mersenne prime number is in the form of 2^p -1. I think that Lucas-Lehmer test is the fastest algorithm discovered for Mersenne prime numbers. And if you not only want to use the fastest algorithm but also the fastest hardware, try to implement it using Nvidia CUDA, write a kernel for CUDA and run it on GPU.

What is the fastest way to implement the fastest algorithm?

And if you not only want to use the fastest algorithm but also the fastest hardware, try to implement it using Nvidia CUDA, write a kernel for CUDA and run it on GPU. You can even earn some money if you discover large enough prime numbers, EFF is giving prizes from $50K to $250K: https://www.eff.org/awards/coop