Primality-testing formula using only elementary functions without Wilson's theorem

Key Points

• This study aims to derive a primality-testing formula using only elementary functions without relying on Wilson's theorem.
• Utilized trigonometric properties, specifically sums of squares of sines and cosines.
• Developed a formula based on basic mathematical principles rather than advanced theorems.
• Successfully created a primality-testing formula using only elementary functions.
• Demonstrated that the new formula can identify prime numbers effectively without Wilson’s theorem.