\( L \epsilon \) t \( P \) be the set of prime numbers and let \( S \) \( =\{\mathrm{t} \mid 2 \...

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\( L \epsilon \) t \( P \) be the set of prime numbers and let \( S \) \( =\{\mathrm{t} \mid 2 \mathrm{t}-1 \) is a prime \( \} \). Prove that \( S \subset P \).
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