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1. [4 pts] Show that if {0} is prite idleal in CQHIAiv ring K thcn K Mas no zero divisors_ [Note: R mmny uot have Miy 4u YO (" #tnt R/{O} is AJintegral din Sou...

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1. [4 pts] Show that if {0} is prite idleal in CQHIAiv ring K thcn K Mas no zero divisors_ [Note: R mmny uot have Miy 4u YO (" #tnt R/{O} is AJintegral din Sou MIISU pove this using thie delinitions:|

1. [4 pts] Show that if {0} is prite idleal in CQHIAiv ring K thcn K Mas no zero divisors_ [Note: R mmny uot have Miy 4u YO (" #tnt R/{O} is AJintegral din Sou MIISU pove this using thie delinitions:|



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Show that if $n=p_{1} p_{2} \cdots p_{k},$ where $p_{1}, p_{2}, \ldots, p_{k}$ are distinct primes that satisfy $p_{j}-1 | n-1$ for $j=1,2, \ldots, k$ then $n$ is a Carmichael number.


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