SUMMARY
A complete list of prime numbers from 2 to 2^34 can be found online at this link. For generating primes, users can utilize the GAP system, which is free and capable of printing primes efficiently. Additionally, the GMP/PARI library can precompute all primes up to 2^30 upon loading. Writing a simple program in C or Python is also a viable solution for generating the extensive list of 762,939,111 primes, although downloading a precompiled list may take considerable time due to file size and internet speed limitations.
PREREQUISITES
- Understanding of prime number generation algorithms
- Familiarity with the GAP system for mathematical computations
- Basic programming skills in C or Python
- Knowledge of file handling and data compression techniques
NEXT STEPS
- Explore the GAP system for prime number generation
- Learn about the GMP/PARI library for efficient mathematical computations
- Research algorithms for generating large prime numbers in C or Python
- Investigate data compression methods for handling large text files
USEFUL FOR
Mathematicians, computer scientists, and developers working on projects involving prime number generation or large data sets will benefit from this discussion.