Firoozbakht's conjecture is a conjecture about the distribution of prime numbers, named after Iranian mathematician Farideh Firoozbakht who stated it in 1982. It holds that the nth root of the nth prime is a strictly decreasing function of n. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
StatementThe nth root of the nth prime is a strictly decreasing function of n. 1 Proposed Year Progress Toward ResolutionVerified computationally with tables of maximal gaps for all primes below 2^64, about 1.84 x 10^19. 1 Classification
Resolution Status Prize Status
Prize Status (category) Connections
In Branch
Source Firoozbakht's conjecture (Wikipedia)
Sources
1. Firoozbakht's Conjecture (Wikipedia)
Wikimedia FoundationLead section
who stated it in 1982
Lead section, statement paragraph
is a strictly decreasing function of n
Lead section, verification paragraph
Now with more extensive tables of maximal gaps, the conjecture has been verified for all primes below
View the Source Firoozbakht's conjecture (Wikipedia)
In Branch: Number Theory, Lead sentenceQuote, In Branch: Number Theory, Lead sentence
In number theory, Firoozbakht's conjecture (or the Firoozbakht conjecture) is a conjecture about the distribution of prime numbers
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