Wieferich prime: Difference between revisions
(Created page with '{{prime number property}} ==Definition== A '''Wieferich prime''' is an odd prime <math>p</math> such that: <math>2^{p-1} \equiv 1 \pmod{p^2}</math>. In particular, <math>2</m...') |
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<math>2^{p-1} \equiv 1 \pmod{p^2}</math>. | <math>2^{p-1} \equiv 1 \pmod{p^2}</math>. | ||
In particular, <math>2</math> is ''not'' a primitive root modulo a Wieferich prime. | In particular, <math>2</math> is ''not'' a primitive root modulo the square of a Wieferich prime. | ||
Revision as of 19:39, 20 April 2009
This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
View other properties of prime numbers | View other properties of natural numbers
Definition
A Wieferich prime is an odd prime such that:
.
In particular, is not a primitive root modulo the square of a Wieferich prime.
