which of the following is NOT correct?

1
The number of prime ideal in \(\mathbb Z_{10^5}\) is 2
2
The characteristic of the ring \(\mathbb Z_2\times \mathbb Z_4\times \mathbb Z_6\) is 12
3
\(\mathbb Z\over 3\mathbb Z\) is not a field
4
\(\mathbb Z\over 3\mathbb Z\) is a field

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