M. Wolf

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math.NT2004

Numerical evidence in favor of the Arenstorf formula

Marek Wolf

The formula $lim_{N \to \infty} \sum_{p < N, p, p + 2 b o t h p r im e} lo g (p) lo g (p + 2) = C_{2}$ is tested on the computer up to $N = 2^{40} \approx 1.1 \times 1 0^{12}$ and very good agreement is fou…

math.NT2001

Some Remarks on the Distribution of twin Primes

Marek Wolf

The computer data up to $2^{44} \approx 1.76 \times 1 0^{13}$ on the gaps between consecutive twins is presented. The simple derivation of the heuristic formula describing computer re…