🚀 NEW MODULAR METHOD FOR PRIME DETECTION — NOW USING MODULO 12!

🚀 NEW MODULAR METHOD FOR PRIME DETECTION — NOW USING MODULO 12! Have you ever thought about identifying whether a number is prime without performing full factorization or checking sequences up to the square root? That’s exactly what the new modular 12 redistribution method does! After the success of the modulo 10 method, I now present an even more refined, closed, and symmetric version — based on modulo 12. 🔍 How does it work? All prime numbers greater than 3 satisfy the congruence: n ≡ 1, 5, 7 or 11 mod 12 This means we can automatically discard 2, 3, and all their multiples. Now, for each candidate number, we apply multipliers k ∈ {1, 5, 7, 11}, and compute: nk = n × k A = nk // 12 (integer division by 12) d = nk % 12 (remainder mod 12) We then check if the pair (A, d) satisfies: d > 1 A is divisible by d and n is also divisible by d ➡️ Then we’ve found an internal divisor of n. ➡️ n is composite. Otherwise, the number is considered prime. --- ✍️ Example 1 — Composite number: n = 49 Multiplier k = 7 nk = 49 × 7 = 343 A = 343 // 12 = 28 d = 343 % 12 = 7 ✅ 28 is divisible by 7 and so is 49 → 49 is composite --- ✍️ Example 2 — Prime number: n = 37 Testing all multipliers (k = 1, 5, 7, 11) No value of d satisfies the conditions ✔️ No internal divisor found → 37 is prime --- 📌 Why is this revolutionary? No need for factorization or testing up to √n Uses only modular congruence and internal structure Works in a deterministic and efficient way