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The exceptional set of Goldbach numbers within the set of squares

A. Perelli, J. Pintz

Source record

Source: arXiv

Published: Oct 21, 2026

arXiv: 2610.29470

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Source abstract

We prove that the set of numbers of type n=2m2n = 2m^2 below XX which cannot be written as a sum of two primes has cardinality at most X19/24+o(1)X^{19/24 + o(1)}.

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