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On terms of consecutive numbers sequence concatenated both to the left and to the right with same prime

Marius Coman

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Abstract

In this paper I make the following conjecture: For any term S(n) of the Smarandache consecutive numbers sequence (1, 12, 123, 1234, 12345, 123456, 1234567...) there exist an infinity of primes p such that the number q obtained concatenating S(n) both to the left and to the right with p is prime.

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What this paper is about

In this paper I make the following conjecture: For any term S(n) of the Smarandache consecutive numbers sequence (1, 12, 123, 1234, 12345, 123456, 1234567...) there exist an infinity of primes p such that the number q obtained concatenating S(n) both to the left and to the right with p is prime.

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Available abstract

In this paper I make the following conjecture: For any term S(n) of the Smarandache consecutive numbers sequence (1, 12, 123, 1234, 12345, 123456, 1234567...) there exist an infinity of primes p such that the number q obtained concatenating S(n) both to the left and to the right with p is prime.

Key concepts: Sequence (biology), Combinatorics, Mathematics, Conjecture, Prime (order theory), Infinity, Term (time), Prime number

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