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Observation on the period of the rational number P/d + d/P where P is a 3-Poulet number and d its least prime factor

Marius Coman

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Abstract

In this paper I make the following observation: let P be a 3-Poulet number, d its least prime factor and q one of the other two prime factors; then the length of the period of the rational number P/d + d/P is for almost any P equal to q – 1 or equal to (q – 1)/n or equal to (q – 1)*n, where n positive integer.

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What this paper is about

In this paper I make the following observation: let P be a 3-Poulet number, d its least prime factor and q one of the other two prime factors; then the length of the period of the rational number P/d + d/P is for almost any P equal to q – 1 or equal to (q – 1)/n or equal to (q – 1)*n, where n positive integer.

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Available abstract

In this paper I make the following observation: let P be a 3-Poulet number, d its least prime factor and q one of the other two prime factors; then the length of the period of the rational number P/d + d/P is for almost any P equal to q – 1 or equal to (q – 1)/n or equal to (q – 1)*n, where n positive integer.

Key concepts: Prime factor, Mathematics, Integer (computer science), Prime (order theory), Number theory, Combinatorics, Rational number, Period (music)

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