Vittorio D'Alfonso

Creative Developer

Cover

I was tasked by Professor Gerardo Iovane to lead the technical aspect of this research project. My role involved executing tests and translating mathematical concepts into algorithms. This work aimed to explore new properties of twin primes and optimize their identification through efficient computational methods.

Read the full research here

Project Overview

The primary goal of the research was to investigate the properties of twin primes—pairs of prime numbers that are only two units apart—and develop algorithms that could reliably generate them. Twin primes have long been a topic of interest in number theory, with implications in fields like cryptography due to their role in data encryption. Our research proposes new algorithms that substantially reduce the computational effort required to find twin primes compared to classical methods.

Algorithm Flow

The research involved creating a smart algorithm, which was able to handle large-scale computations with reduced complexity. This design allowed us to identify twin prime pairs up to very high values, showcasing the algorithm's efficiency.

Technology Stack

We leveraged Python and high-performance computing environments like JupyterLab for running simulations and testing our algorithms. The algorithms were implemented using matrix operations and polynomial regressions, providing insights into the distribution of twin primes and their behavior at larger scales.

Twin Prime Distribution

The graph above highlights the efficiency gains from using our smart algorithm compared to traditional prime number generation methods. As the values of twin primes increase, the computational savings become more pronounced, a significant step forward in prime number research.

Acknowledgements

A special thanks to Professor Gerardo Iovane for his guidance and expertise throughout this research. His contributions to both the theoretical framework and the development of the algorithms were invaluable.

Vittorio D'Alfonso

Creative Developer

Cover

I was tasked by Professor Gerardo Iovane to lead the technical aspect of this research project. My role involved executing tests and translating mathematical concepts into algorithms. This work aimed to explore new properties of twin primes and optimize their identification through efficient computational methods.

Read the full research here

Project Overview

The primary goal of the research was to investigate the properties of twin primes—pairs of prime numbers that are only two units apart—and develop algorithms that could reliably generate them. Twin primes have long been a topic of interest in number theory, with implications in fields like cryptography due to their role in data encryption. Our research proposes new algorithms that substantially reduce the computational effort required to find twin primes compared to classical methods.

Algorithm Flow

The research involved creating a smart algorithm, which was able to handle large-scale computations with reduced complexity. This design allowed us to identify twin prime pairs up to very high values, showcasing the algorithm's efficiency.

Technology Stack

We leveraged Python and high-performance computing environments like JupyterLab for running simulations and testing our algorithms. The algorithms were implemented using matrix operations and polynomial regressions, providing insights into the distribution of twin primes and their behavior at larger scales.

Twin Prime Distribution

The graph above highlights the efficiency gains from using our smart algorithm compared to traditional prime number generation methods. As the values of twin primes increase, the computational savings become more pronounced, a significant step forward in prime number research.

Acknowledgements

A special thanks to Professor Gerardo Iovane for his guidance and expertise throughout this research. His contributions to both the theoretical framework and the development of the algorithms were invaluable.

Colophon

3 topics

Vittorio D'Alfonso

Creative Developer

Cover

I was tasked by Professor Gerardo Iovane to lead the technical aspect of this research project. My role involved executing tests and translating mathematical concepts into algorithms. This work aimed to explore new properties of twin primes and optimize their identification through efficient computational methods.

Read the full research here

Project Overview

The primary goal of the research was to investigate the properties of twin primes—pairs of prime numbers that are only two units apart—and develop algorithms that could reliably generate them. Twin primes have long been a topic of interest in number theory, with implications in fields like cryptography due to their role in data encryption. Our research proposes new algorithms that substantially reduce the computational effort required to find twin primes compared to classical methods.

Algorithm Flow

The research involved creating a smart algorithm, which was able to handle large-scale computations with reduced complexity. This design allowed us to identify twin prime pairs up to very high values, showcasing the algorithm's efficiency.

Technology Stack

We leveraged Python and high-performance computing environments like JupyterLab for running simulations and testing our algorithms. The algorithms were implemented using matrix operations and polynomial regressions, providing insights into the distribution of twin primes and their behavior at larger scales.

Twin Prime Distribution

The graph above highlights the efficiency gains from using our smart algorithm compared to traditional prime number generation methods. As the values of twin primes increase, the computational savings become more pronounced, a significant step forward in prime number research.

Acknowledgements

A special thanks to Professor Gerardo Iovane for his guidance and expertise throughout this research. His contributions to both the theoretical framework and the development of the algorithms were invaluable.

Colophon

3 topics

Vittorio D'Alfonso

Creative Developer

Cover

I was tasked by Professor Gerardo Iovane to lead the technical aspect of this research project. My role involved executing tests and translating mathematical concepts into algorithms. This work aimed to explore new properties of twin primes and optimize their identification through efficient computational methods.

Read the full research here

Project Overview

The primary goal of the research was to investigate the properties of twin primes—pairs of prime numbers that are only two units apart—and develop algorithms that could reliably generate them. Twin primes have long been a topic of interest in number theory, with implications in fields like cryptography due to their role in data encryption. Our research proposes new algorithms that substantially reduce the computational effort required to find twin primes compared to classical methods.

Algorithm Flow

The research involved creating a smart algorithm, which was able to handle large-scale computations with reduced complexity. This design allowed us to identify twin prime pairs up to very high values, showcasing the algorithm's efficiency.

Technology Stack

We leveraged Python and high-performance computing environments like JupyterLab for running simulations and testing our algorithms. The algorithms were implemented using matrix operations and polynomial regressions, providing insights into the distribution of twin primes and their behavior at larger scales.

Twin Prime Distribution

The graph above highlights the efficiency gains from using our smart algorithm compared to traditional prime number generation methods. As the values of twin primes increase, the computational savings become more pronounced, a significant step forward in prime number research.

Acknowledgements

A special thanks to Professor Gerardo Iovane for his guidance and expertise throughout this research. His contributions to both the theoretical framework and the development of the algorithms were invaluable.

Colophon

3 topics