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mathematical analysis > calculus > sequence > integer sequence > Carmichael number

number > natural numbers > Carmichael number

Preferred term

Carmichael number

In number theory, a Carmichael number is a composite number ${\\displaystyle n}$ , which in modular arithmetic satisfies the congruence relation:
${\\displaystyle b^{n}\\equiv b{\\pmod {n}}}$
for all integers ${\\displaystyle b}$ . The relation may also be expressed in the form:
${\\displaystyle b^{n-1}\\equiv 1{\\pmod {n}}}$ .
for all integers ${\\displaystyle b}$ which are relatively prime to ${\\displaystyle n}$ . Carmichael numbers are named after American mathematician Robert Carmichael, the term having been introduced by Nicolaas Beeger in 1950 (Øystein Ore had referred to them in 1948 as numbers with the "Fermat property", or "F numbers" for short). They are infinite in number.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Carmichael_number)

nombre de Carmichael

French
nombre absolument pseudo-premier

URI

http://data.loterre.fr/ark:/67375/PSR-M584XKQZ-7

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