Difference between revisions of "Carmichael number"

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The first <math>7</math> are:
 
The first <math>7</math> are:
  
<math>\begin{align}
+
<cmath>\begin{align}
 
561 &= 3 \cdot 11 \cdot 17 \
 
561 &= 3 \cdot 11 \cdot 17 \
 
1105 &= 5 \cdot 13 \cdot 17 \
 
1105 &= 5 \cdot 13 \cdot 17 \
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6601 &= 7 \cdot 23 \cdot 41 \
 
6601 &= 7 \cdot 23 \cdot 41 \
 
8991 &= 7 \cdot 19 \cdot 67.
 
8991 &= 7 \cdot 19 \cdot 67.
\end{align}</math>
+
\end{align}</cmath>
  
 
==See Also==
 
==See Also==

Revision as of 11:29, 2 August 2022

Carmichael numbers

A Carmichael number is a composite numbers that satisfies Fermat's Little Theorem, $a^p \equiv a \pmod{p}.$or $a^{p - 1} \equiv 1 \pmod{p}.$ In this case, $p$ is the Carmichael number.

The first $7$ are:

\begin{align} 561 &= 3 \cdot 11 \cdot 17 \\ 1105 &= 5 \cdot 13 \cdot 17 \\ 1729 &= 7 \cdot 13 \cdot 19 \\ 2465 &= 5 \cdot 17 \cdot 29 \\ 2821 &= 7 \cdot 13 \cdot 31 \\ 6601 &= 7 \cdot 23 \cdot 41 \\ 8991 &= 7 \cdot 19 \cdot 67. \end{align}

See Also

~ User:Enderramsby


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