Euler-Fermat theorem
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Euler-Fermat theorem
If such that , then , where is the Euler totient function.
Keywords:
number theory
Synonym:
Euler's theorem
Type of Math Object:
Theorem
Major Section:
Reference
Mathematics Subject Classification
20A05 Axiomatics and elementary properties20-01 Instructional exposition (textbooks, tutorial papers, etc.)
11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
82-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
83-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
81-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
55-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
18F99 None of the above, but in MSC2010 section 18Fxx
58Z05 Applications to physics
Comments
Euler-Fermat theorem
I am not very familiar with this area but your proof appears to assume n>0 (and a>0?) whereas the theorem statement does not?
Can you clarify please?
Regards,
Clive Counsell
Re: Euler-Fermat theorem
The statement of the theorem should include n>0, but a>0 is not necessary either for the statement or the proof.
Cam