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Creators/Authors contains: "CUMBERBATCH, JAMES"

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  1. (, Bulletin of the Australian Mathematical Society)
    Abstract We show that for any setDof at least two digits in a given baseb, almost all even integers taking digits only inDwhen written in basebsatisfy the Goldbach conjecture. More formally, if$$\mathcal {A}$$is the set of numbers whose digits basebare exclusively fromD, almost all elements of$$\mathcal {A}$$satisfy the Goldbach conjecture. Moreover, the number of even integers in$$\mathcal {A}$$which are less thanXand not representable as the sum of two primes is less than$$|\mathcal {A}\cap \{1,\ldots ,X\}|^{1-\delta }$$. 
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    Free, publicly-accessible full text available June 1, 2026