Number Theory

   

Three Sequences of Primes Obtained Using the Digital Root and the Digital Sum of a Prime

Authors: Marius Coman

In this paper I make the following three conjectures: (I) The set of the primes which are obtained concatenating to the left a prime with its digital sum is infinite; (II) The set of the primes which are obtained concatenating to the left a prime with its digital root is infinite; (III) The set of the primes which are equal to the sum of a prime p with the number obtained concatenating to the left p with its digital sum and the number obtained concatenating to the left p with its digital root is infinite.

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[v1] 2017-04-29 23:52:47

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