2016Unpublished venueOpen access

Three sequences obtained concatenating P-1 with 1 and 11 respectively P+1 with 11 where P Poulet numbers

Marius Coman

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Abstract

In this paper I make the following three conjectures: (I) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 1, where P is a Poulet number; (II) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 11, where P is a Poulet number; (III) there exist an infinity of primes obtained concatenating the number P + 1 to the right with 11, where P is a Poulet number.

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What this paper is about

In this paper I make the following three conjectures: (I) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 1, where P is a Poulet number; (II) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 11, where P is a Poulet number; (III) there exist an infinity of primes obtained concatenating the number P + 1 to the right with 11, where P is a Poulet number.

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Available abstract

In this paper I make the following three conjectures: (I) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 1, where P is a Poulet number; (II) there exist an infinity of primes obtained concatenating the number P – 1 to the right with 11, where P is a Poulet number; (III) there exist an infinity of primes obtained concatenating the number P + 1 to the right with 11, where P is a Poulet number.

Key concepts: Infinity, Number theory, Mathematics, Combinatorics, Mathematical analysis

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