# Science:Math Exam Resources/Courses/MATH312/December 2008/Question 04 (b)

MATH312 December 2008

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### Question 04 (b)

Prove that ${\displaystyle \displaystyle 1729=7\cdot 13\cdot 19}$ is a Carmichael number.

(Hint: ${\displaystyle \displaystyle 1728=6\cdot 288=12\cdot 144=18\cdot 96}$)

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