Numerical evidence in favor of the Arenstorf formula
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🧮 math.NT
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formulaagreementapproxarenstorfcomputerevidencefavorfound
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The formula $\lim_{N\to\infty}\sum_{p<N,p,p+2 both prime} \log(p)\log(p+2) = C_2$ is tested on the computer up to $N=2^{40}\approx 1.1\times 10^{12}$ and very good agreement is found.
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