Created for the Pennsylvania Junior Academy of Science, 2013. For this project I implemented the above algorithms to find every prime number up to a certain limit and tested their runtimes. Use these ...

Created for the Pennsylvania Junior Academy of Science, 2013. For this project I implemented the above algorithms to find every prime number up to a certain limit and tested their runtimes. Use these ...

The Riemann hypothesis implies that there is a polynomial-time algorithm for finding prime numbers, which would be a breakthrough for number theory and cryptography. However, Shor's algorithm does ...

While one can quickly find the prime factors of small integers ... While there exist classical algorithms for prime factorization, the time it takes these algorithms to factorize numbers grows almost ...

There's one big problem with that algorithm, though - it takes up a crap load ... And, who knows, it could also be the tool that helps him find the next new prime number. With US$150,000 on the line ...

In this paper, we proposed two efficient methods to generate large prime numbers. Firstly, an accelerating method by utilizing pre-installed modular multiplier which is used to calculate public key ...

“We really don’t know that much about how primes are distributed, or about gaps in primes,” said Ofer Grossman, who studies pseudorandom algorithms. And if we don’t know where to find them, there’s no ...

One of the most common encryption schemes, the RSA algorithm, is based on prime numbers. It uses a “public key,” information that is publicly available, and a “private key,” something that ...

The main idea of proposed algorithm called prime number modulo-N load balance (PMN-LB) is that the remainders are distributed equally when the multiples of a number are divided by prime number. Based ...