Art of Problem Solving

Wilson Prime: Difference between revisions

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In [[Number Theory]], a '''Wilson Prime''' is a prime number <math>N</math> such that <math>N^2</math> divides <math>(N-1)!-1</math>. It bears a striking resemblance to [[Wilson's Theorem]]. Although conjectured to be infinite in number, no other Wilson primes have been discovered besides 5,13, and 563.  
In [[Number Theory]], a '''Wilson Prime''' is a prime number <math>N</math> such that <math>N^2</math> divides <math>(N-1)!+1</math>. It bears a striking resemblance to [[Wilson's Theorem]]. Although conjectured to be infinite in number, no other Wilson primes have been discovered besides <math>5</math>, <math>13</math>, and <math>563</math>.  
 
 
 
 


[[Category: Number Theory]]
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Latest revision as of 12:47, 8 August 2025

In Number Theory, a Wilson Prime is a prime number $N$ such that $N^2$ divides $(N-1)!+1$. It bears a striking resemblance to Wilson's Theorem. Although conjectured to be infinite in number, no other Wilson primes have been discovered besides $5$, $13$, and $563$.



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