Robert Carmichael was an American number theorist best known for discovering what are now called Carmichael numbers. He was born in Goodwater, Coosa County, Alabama on 1 March 1879 and died in Merriam, Johnson County, Kansas on 2 May 1967. The composite numbers that pass Fermat's primality test for every base are named after him, and so is the Carmichael function that he defined in 1910, both examples of results in number theory that bear an American name.
Facts
Connections
Attributed Works
Source Carmichael Function (Wikipedia)
Source Wikipedia: Carmichael number
Conjectures Posed
Source Wikipedia: Carmichael Totient Function Conjecture
In Branch
Source Robert Carmichael, Biography (MacTutor History of Mathematics)
Principal Result
Source Carmichael Function (Wikipedia)
Source Wikipedia: Carmichael number
Proofs Credited
Source Carmichael's theorem (Wikipedia)
In the Other Atlases
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Source Robert Carmichael, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Robert Carmichael was an American number theorist best known for discovering what are now called Carmichael numbers.
Sources
1. Robert Carmichael, Biography (MacTutor History of Mathematics)
Quick Info: Born
1 March 1879
Summary
Robert Carmichael was an American number theorist best known for discovering what are now called Carmichael numbers.
View the SourceCarmichael's theorem (Wikipedia)
Proofs Credited: Carmichael's Theorem, Lead sectionQuote, Proofs Credited: Carmichael's Theorem, Lead section
Carmichael (1913, Theorem 21) proved this theorem.
Wikipedia: Carmichael Totient Function Conjecture
WikipediaConjectures Posed: Carmichael's Totient Function Conjecture, Lead sectionQuote, Conjectures Posed: Carmichael's Totient Function Conjecture, Lead section
Robert Carmichael first stated this conjecture in 1907, but as a theorem rather than as a conjecture.
Wikipedia: Carmichael number
Principal Result: Carmichael Number, Lead sentence of the article on the result
The Carmichael numbers were named after the American mathematician Robert Carmichael by Nicolaas Beeger, in 1950. Øystein Ore had referred to them in 1948 as numbers with the "Fermat property", or "F numbers" for short.
Attributed Works: Carmichael Number, Lead
The Carmichael numbers were named after the American mathematician Robert Carmichael by Nicolaas Beeger, in 1950. Øystein Ore had referred to them in 1948 as numbers with the "Fermat property", or "F numbers" for short.
View the SourceCarmichael Function (Wikipedia)
Principal Result: Carmichael Function, Lead sentence of the article on the result
The Carmichael function is named after the American mathematician Robert Carmichael who defined it in 1910.
Attributed Works: Carmichael Function, Lead
The Carmichael function is named after the American mathematician Robert Carmichael who defined it in 1910
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