Talk:AKS test for primes: Difference between revisions

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(Lower Limit)
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<math>1</math> is prime if all the coefficients of the polynomial expansion of: <math>(x-1)^p - (x^p - 1)</math>
<math>1</math> is prime if all the coefficients of the polynomial expansion of: <math>(x-1)^p - (x^p - 1)</math>
are divisible by <math>p</math>. All the coefficients is the empty set. 1 is divisible by absolutely everything in the empty set. Is there a better wording out there? (That doesn't include the phrases "any number not 1" or "any number > 1") [[User:Tim-brown|Tim-brown]]
are divisible by <math>p</math>. All the coefficients is the empty set. 1 is divisible by absolutely everything in the empty set. Is there a better wording out there? (That doesn't include the phrases "any number not 1" or "any number > 1") [[User:Tim-brown|Tim-brown]]

==Lower Limit==
Again... 1 appears as an "is it prime, isn't it prime" candidate.

<math>1</math> is prime if all the coefficients of the polynomial expansion of: <math>(x-1)^p - (x^p - 1)</math>
are divisible by <math>p</math>. All the coefficients is the empty set. 1 is divisible by absolutely everything in the empty set. Is there a better wording out there? (That doesn't include the phrases "any number not 1" or "any number > 1")