Primes between $p_n+1$ and $p_{n+1}^2-1.$

A. Venugopalan (1)

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We give some polynomial identities involving the first $n+1$ primes, and deduce from one of these a formula from which $p_{n+1}$ can be calculated once $p_1,\ldots,p_n$ are known.

Mots clés: prime numbers; twin primes

Domaines: Mathématiques [math]

A. Venugopalan. Primes between $p_n+1$ and $p_{n+1}^2-1.$. Hardy-Ramanujan Journal, 1983, Volume 6 - 1983, pp.45 - 48. ⟨10.46298/hrj.1983.99⟩. ⟨hal-01104264⟩