Abstract

The Euler product for the Landau–Ramanujan constant could have motivated a curious identity by Ramanujan that appears in his notebooks two times. This observation involves a square root and the first four prime numbers of the form , i.e., . Berndt asks whether Ramanujan’s identity is an isolated result, or if there are other identities of this type. With this work we would like to give a possible answer to Berndt’s question.

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