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register: furstenberg-prime-infinitude-gaia 0.2.0 - #31

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register: furstenberg-prime-infinitude-gaia 0.2.0#31
atom525 wants to merge 1 commit into
SiliconEinstein:mainfrom
atom525:register/furstenberg-prime-infinitude-0.2.0-clean

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@atom525 atom525 commented Apr 11, 2026

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Description

Topological proof of infinitude of primes via Furstenberg topology (arXiv:2402.03356)

Exports

  • thm_infinitude_primes - There are infinitely many prime numbers
  • thm_density_iff_infinite - Infinitude iff density in X
  • thm_p_dense_x1 - P is dense in X_1
  • thm_subset_dense_iff_infinite - For A subset P: A dense iff infinite

Holes (5)

  • gcd_multiplicativity
  • fundamental_theorem_arithmetic
  • closure_union_containment
  • density_transitivity
  • sigma_n_infinite

Changes

This version (0.2.0) fixes BP belief degradation by adding review priors for derived claims. Main theorem belief improved from 0.794 to 0.9999.

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