Farideh Firoozbakht
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Farideh Firoozbakht
Farideh Firoozbakht (18 March 1962 – 24 December 2019) was an Iranian mathematician. She stated Firoozbakht's conjecture on the distribution of prime numbers in 1982. She studied pharmacology and later mathematics at the University of Isfahan The University of Isfahan (UI) (Persian: دانشگاه اصفهان Dāneshgāh-e Esfāhān) is a state-operated university located in Isfahan, Iran. It is ranked among the top 10 universities in Iran. The university is located on Azadi square ... and taught mathematics at Iranian universities including the University of Isfahan. References 1962 births 2019 deaths 20th-century Iranian mathematicians 20th-century women mathematicians 21st-century women mathematicians 21st-century Iranian mathematicians Academic staff of the University of Isfahan {{Iran-mathematician-stub ...
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Firoozbakht's Conjecture
In number theory, Firoozbakht's conjecture (or the Firoozbakht conjecture) is a conjecture about the distribution of prime numbers. It is named after the Iranian mathematician Farideh Firoozbakht who stated it first in 1982. The conjecture states that p_^ (where p_n is the ''n''th prime) is a strictly decreasing function of ''n'', i.e., :\sqrt +10, where \gamma denotes the Euler–Mascheroni constant. Two related conjectures (see the comments of ) are :\left(\frac\right)^n < e, which is weaker, and :\left(\frac\right)^n < n\log(n)\qquad \text n > 5, which is stronger.


See also

* * Andrica's conjecture *

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Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ...
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Pharmacology
Pharmacology is a branch of medicine, biology and pharmaceutical sciences concerned with drug or medication action, where a drug may be defined as any artificial, natural, or endogenous (from within the body) molecule which exerts a biochemical or physiological effect on the cell, tissue, organ, or organism (sometimes the word ''pharmacon'' is used as a term to encompass these endogenous and exogenous bioactive species). More specifically, it is the study of the interactions that occur between a living organism and chemicals that affect normal or abnormal biochemical function. If substances have medicinal properties, they are considered pharmaceuticals. The field encompasses drug composition and properties,functions,sources,synthesis and drug design, molecular and cellular mechanisms, organ/systems mechanisms, signal transduction/cellular communication, molecular diagnostics, interactions, chemical biology, therapy, and medical applications and antipathogenic capabilities. ...
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University Of Isfahan
The University of Isfahan (UI) (Persian: دانشگاه اصفهان Dāneshgāh-e Esfāhān) is a state-operated university located in Isfahan, Iran. It is ranked among the top 10 universities in Iran. The university is located on Azadi square of Isfahan. It has another campus in Khansar. University of Isfahan offers undergraduate degrees in 71 fields, graduate degrees in 185 fields and postgraduate in 119 fields. History The University of Isfahan was built in 1946. The decision to establish the university was an idea developed by a number of doctors at Amin Hospital in 1939. Eventually, the board of directors of the hospital approved a plan to establish Isfahan Higher Medical Institute in 1946. In September of the same year, an ad signed by lecturer Dr. Jelveh, then caretaker of Isfahan Province Health and Medical Treatment Department, was published in local newspapers calling on prospective students to enroll in the new institute. The first classes were held at Sadi High Sc ...
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1962 Births
Year 196 ( CXCVI) was a leap year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Dexter and Messalla (or, less frequently, year 949 '' Ab urbe condita''). The denomination 196 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus attempts to assassinate Clodius Albinus but fails, causing Albinus to retaliate militarily. * Emperor Septimius Severus captures and sacks Byzantium; the city is rebuilt and regains its previous prosperity. * In order to assure the support of the Roman legion in Germany on his march to Rome, Clodius Albinus is declared Augustus by his army while crossing Gaul. * Hadrian's wall in Britain is partially destroyed. China * First year of the '' Jian'an era of the Chinese Han Dynasty. * Emperor Xian ...
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2019 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ...
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21st-century Women Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ...
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21st-century Iranian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman em ...
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