Vipul: Created page with "==Statement== Any Carmichael number must be a square-free number. ==Proof== If a number $n$ has a square of a prime dividing it, that prime is a factor o..."

2012-01-03T20:46:25Z

Created page with "==Statement== Any Carmichael number must be a square-free number. ==Proof== If a number <math>n</math> has a square of a prime dividing it, that prime is a factor o..."

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==Statement==

Any [[Carmichael number]] must be a [[square-free number]].

==Proof==

If a number <math>n</math> has a square of a prime dividing it, that prime is a factor of its [[universal exponent]]. But then, the universal exponent cannot divide <math>n - 1</math>.

Carmichael number is square-free - Revision history

Vipul: Created page with "==Statement== Any Carmichael number must be a square-free number. ==Proof== If a number n has a square of a prime dividing it, that prime is a factor o..."

Vipul: Created page with "==Statement== Any Carmichael number must be a square-free number. ==Proof== If a number $n$ has a square of a prime dividing it, that prime is a factor o..."