Prove that there are infinitely many primes $P$, such that $3P+2$ and $\frac{3P+1}{2}$ are also primes. Something possible to do?
2026-04-13 16:03:50.1776096230
Prove that there are infinitely many primes $P$, such that $3P+2$ and $\frac{3P+1}{2}$ are also primes
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(3P+1)/2 would be a special Sophie Germain prime, which is a prime p and 2p+1 is also a prime. It is not known if there exist infinitely many Sophie Germain primes. Therefore it is not known if there exist infintely many P.