6
$\begingroup$

I have googled this but found nothing. Do we know if there are infinitely many (or finitely many) primes of the form $4p+1$ where $p$ itself prime?

I proved something only for this case of prime and want to know if it covers only finitely many cases or not (at least I know I didn't prove an empty case :) )

Thank you.

  • 0
    I believe this result is true if you consider if it was false for all p large enough has to be $4n+3$ which is a formula for the primes number in sense.2012-03-07
  • 1
    See [OEIS A090866](http://oeis.org/A090866), [A023212](http://oeis.org/A023212) and a [longer list](http://oeis.org/A023212/b023212.txt) of the latter. These are quite common.2012-03-07
  • 1
    See http://mathoverflow.net/questions/74576/infinite-number-of-prime-pairs2012-03-07

1 Answers 1