Prove that when prime $p \ne 2$ then $2p=3^{n+1}-1$ and $p+1=2 \times 3^n$
The clue I got is to prove first that $p = \frac{3^{n+1}-1}{2}$
Thanks in advance!
Prove the theorem.
Theorem: Let $a>0$. Then there is a number $b>0$ such that $b^2 = a$.
I have a proof in the notes, but I don't get the steps. I request that the reason behind why the proof is such or how you think when you start, is provided.
If some no. after decimal is NRNT then it may be irrational the condition being it should not be near any other irrational no.
Leaving the condition of expressing in $\frac{p}{q}$ formate (which is the first condition of being rational), $\frac{22}{7}$ though NRNT has $\pi$ in his neighbour so it...
Early years' math student here with a strong interest in Number Theory. While I initially just accepted the frequency of twin primes to decrease just the same way the frequency of primes decrease in general, recently I have been thinking a lot about twin primes and I just can't shake the intuitio...
@ParamanandSingh Actually closing as PSQ is preferable, since closing as duplicate is meant for good questions that are duplicates. If it is just another PSQ, it is worthless to keep it, especially if it is a duplicate (i.e. it should never have been posted in the first place, for two reasons).
@user21820 @ParamanandSingh Indeed. As user21820 says, your first question should be "Is this question appropriate for the site?" If not, vote-to-close (for lack of context, for lack of clarity, for being off-topic, or for whatever other non-dupe reason is appropriate).
If, after deciding that a question is appropriate for Math SE, then determine whether or not it is a duplicate.
Poor questions which happen to be duplicates are harder to delete later (e.g. they are not auto-deleted), thus if we want to remove poor questions from the site, it is best to close them for some reason other than "duplicate".
Of course, you can always leave a link to the duplicate question in the comments.