Conditional prime program

Sophie Germain Primes: Current Research Status

This page no longer presents an unconditional proof of infinitude. The current work is a conditional program with empirical and structural ideas still requiring a load-bearing theorem.

Current Status

The folder is not an unconditional proof of infinitely many Sophie Germain primes. The live bottleneck is a rigorous cross-modulus exponent advantage for the champion-lane / 3-tap projector route.

What Is Useful

  • A structured conditional framework for studying Sophie Germain prime patterns.
  • Empirical accumulation evidence and candidate resonance/projector language.
  • A clear theorem target: replace exponent fitting with a proved cross-modulus advantage.

Public Boundary

The former "complete proof" download files have been moved out of the public surface. Future publication should present this as a conditional program or open theorem target unless the missing exponent advantage is proved.