A Generalization of Fortune’s Conjecture
Journal of Advances in Mathematics and Computer Science · pp. 221–225 · Published 23 Oct 2013
10.9734/BJMCS/2014/5701Abstract
Fortune’s Conjecture is extended from a relatively short interval after each primorial to an infinite numbers of similar intervals on both sides of primorials, where n is a positive integer. In addition, it is shown that for every prime in the interval ,there is a number in the interval that is also a prime or 1, such that. Since n can take infinitely many values, it is highly probable that the reverse of the above theorem is also true. Accordingly, it is conjecture that for every prime , there exist a prime in the interval that gives a much larger prime when added to or subtracted from the primorial multiplied by an integer n.
Cited by 2
A. Dinculescu · 2015
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
Related research
- Primes and Squares Challenge — shares topic coverage
- A Twin Prime Analog of Goldbach’s Conjecture — shares topic coverage
- An Inferior Limit on the Number of Twin Primes up to 6 P — shares topic coverage
- The Twin Primes Seen from a Different Perspective — shares topic coverage
Article metrics
Real usage data collected on this platform.
10
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.