Bölcsföldi-Birkás-Ferenczi prime numbers (Full prime numbers)
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 2
Abstract
After defining full prime numbers, full prime numbers will be presented from 23 to 2232323. How many full prime numbers are there in the interval (10p-1 ,10p ) (where p is a prime number)? On the one hand, it has been counted by computer among the prime numbers with up to 13-digits. On the other hand, the function (1) gives the approximate number of full prime numbers in the interval (10p-1 ,10p ). The notion of decomposable full prime numbers will be defined. Based on the examination of the set of decomposable full prime numbers a near-proof reasoning will be provided regarding the number of full prime numbers. Another near-proof reasoning has emerged from the conformity of Mill’s prime numbers with full prime numbers. The set of full prime numbers is probably infinite.
Authors and Affiliations
József Bölcsföldi, György Birkás, Miklós Ferenczi
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