Category: kronecker substitution
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An Easy Formula for Prime Numbers
A current research goal of mine is to find an elementary formula (arithmetic term) for the -th prime number. Today, I can at least report some partial progress. To provide some initial context: An arithmetic term is defined as an expression which uses only the elementary arithmetic operations: (*). (*) For a precise definition, please […]
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Strange Formulas for Binomial Coefficients
Binomial coefficients have long been an obsession of mine, since my earliest days of studying the integers, when I naively rediscovered Pascal’s triangle through simple counting. These unassuming numbers, often written as , have a surprising depth and elegance that never cease to amaze me. For those who may be unfamiliar, binomial coefficients are the […]