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Defeating the Sieve Part 2: The Mod 3 Trap

In Part 1, we discovered that prime sums have 'Shields'—mathematical armor that blocks divisibility. But when I stress-tested the theory against 100 Billion primes, I found the opposite of a shield. I found a trap.

Dec 7, 2025RustNumber TheoryVisualization

Nov 30, 2025

Defeating the Sieve: The Mathematics of the "Shielded" Prime

We are taught that prime numbers are the noise of the number line—unpredictable, chaotic, and governed only by probabilistic density. But if you stop looking at individual primes and start looking at their sums, a rigid structure emerges from the chaos.

RustNumber TheoryVisualization