GADS-MCL SDFM: Multiplicative Gears and Dimensional Collapse on Primorial Rings for GNFS Optimization

Key Points

• The research aims to optimize the General Number Field Sieve (GNFS) using properties of primorial rings.
• Utilized mathematical definitions and properties of primorial rings
• Examined the effects of multiplicative gears in optimization processes
• Corrected definitions for clarity.
• Established that 42 is the product of the first three prime numbers (2, 3, 7)
• Provided a clearer foundation for future GNFS applications via primorial rings.

Abstract