(Collection) Sufficiently Large: Presence, Thresholds, and the Carmichael Theorem

Papers, data, and source files from a reading of Daniel Larsen’s Bertrand-type theorem for Carmichael numbers (IMRN 2023) under four standards for what a proof delivers — classical truth, constructive witness, effective procedure, and presence. The collection holds the mathematical note on Theorem 4 and the shared modulus of the construction, the philosophical article on asymptotic theorems and the grammar of “sufficiently large,” the essay “True of No Interval You Can Name,” the corpus document Surrogate Zeros in Larsen’s Bertrand Postulate, and the verified Carmichael table (OEIS A002997 entries 100–1670) on which the finite verifications rest. Companion to the Mirror Calculus and Deprogramming Zero deposits.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22326917
Primary Topic
History and Theory of Mathematics
Type
article
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article

(Collection) Sufficiently Large: Presence, Thresholds, and the Carmichael Theorem

YAHM… Parker Emmerson
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

(Collection) Sufficiently Large: Presence, Thresholds, and the Carmichael Theorem

YAHM… Parker Emmerson
article en

Abstract

Papers, data, and source files from a reading of Daniel Larsen’s Bertrand-type theorem for Carmichael numbers (IMRN 2023) under four standards for what a proof delivers — classical truth, constructive witness, effective procedure, and presence. The collection holds the mathematical note on Theorem 4 and the shared modulus of the construction, the philosophical article on asymptotic theorems and the grammar of “sufficiently large,” the essay “True of No Interval You Can Name,” the corpus document Surrogate Zeros in Larsen’s Bertrand Postulate, and the verified Carmichael table (OEIS A002997 entries 100–1670) on which the finite verifications rest. Companion to the Mirror Calculus and Deprogramming Zero deposits.

Zenodo (CERN European Organization for Nuclear Research)
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History and Theory of Mathematics
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