Golden ratio prime numbers
Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 12
Abstract
After defining, the golden ratio prime numbers will be presented from 13 to 1987. How many golden ratio prime numbers are there in the interval (10 n-1 , 10n ) (where n≥2 integer number)? On the one hand, it has been counted by computer among the prime numbers with up to 8-digits. On the other hand, the function (1) gives the approximate number of golden ratio prime numbers in the interval (10n-1 ,10n ). The function (2) gives the approximate number of golden ratio prime numbers where all digits are 3 or 7 in the interval (10n-1 ,10n ). Near-proof reasonig has emerged from the conformity of Mills’ prime numbers with golden ratio prime numbers. The set of golden ratio prime numbers is probably infinite.
Authors and Affiliations
József Bölcsföldi, György Birkás
Keywords
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