Question

Show that 1729 is a Carmichael number.

Short answer

answer is missing in file

Step-by-step solution

Step: 1

Similarly let n=1729

1729=7X13X19

$\begin{array}{r}{p}_1=7\\ P_2=13\\ P_3=19\\ p_1-1=6\\ p_2-1=12\\ p_3-1=18\\ n-1=1729-1\\ n-1=1728\end{array}$

n-1 is divisible by$p_1-1$

Step: 2

Similarly, n-1 is also divisible by$p_2-1\text{and}{p}_3-1$

So, n=1729 is a Carmichael number.