$p+2=P<sub>2</sub>$ in short intervals

Authors

  • Saverio Salerno
  • Antonio Vitolo

DOI:

https://doi.org/10.1285/i15900932v13n2p309

Abstract

Twin prime problem is well known in number theory. Sieve methods can only detect almost-primes because of parity phenomenon.Switching principle allowed Chen to get $P2$. By a suitable weighted sieve, we prove that the representation $p + 2 = P2$ occurs with the expected frequency in short intervals.

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Published

01-01-1993

Issue

Volume 13, Issue 2 (1993)

Section

Articoli

License

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