If \( \mathrm{P}(n) \) is the statement " \( 10 n+3 \) is prime", t...

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If \( \mathrm{P}(n) \) is the statement " \( 10 n+3 \) is prime", then show that \( \mathrm{P}(1) \) and \( \mathrm{P}(2) \) are true but \( P(3) \) is not true.
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