This article has a pedagogical aim. Indeed, we want to tackle the twin primes conjecture with an elementary and intuitive approach suitable for high schools. Perhaps it is needless to point out that this article does not have such a high goal of proving the conjecture but to give an intuitive idea of its validity. Research on prime numbers and related conjectures is so vast and advanced that it is impossible to fully address it in a high school. Hence, we want to analyze the twin primes from a didactic point of view and with the knowledge of high schools. Even a simple approach seems to indicate that there are infinitely many twin primes.

Heuristically Sifting Twins

Benedetto Elmo;Iovane Gerardo
2023-01-01

Abstract

This article has a pedagogical aim. Indeed, we want to tackle the twin primes conjecture with an elementary and intuitive approach suitable for high schools. Perhaps it is needless to point out that this article does not have such a high goal of proving the conjecture but to give an intuitive idea of its validity. Research on prime numbers and related conjectures is so vast and advanced that it is impossible to fully address it in a high school. Hence, we want to analyze the twin primes from a didactic point of view and with the knowledge of high schools. Even a simple approach seems to indicate that there are infinitely many twin primes.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4851895
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