[seqfan] Re: Prime of the form 4*p + 3
zbi74583_boat at yahoo.co.jp
zbi74583_boat at yahoo.co.jp
Sat Mar 14 04:01:21 CET 2020
Hi Robert Thanks for telling me the information I wish that someone will prove it, especially some smart Mathematician will prove in future the pair {p, 2*p + 1} which are both Sophie German Primes exist infinitely Because if the proof exists then it is possible to prove {3, -1} Amicable Pair exist infinitely many, though the following is unsolved problem Does Amicable Pair exist infinitely many ?
Yasutoshi
----- Original Message -----
From: "israel at math.ubc.ca" <israel at math.ubc.ca>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Date: 2020/3/11, Wed 22:46
Subject: [seqfan] Re: Prime of the form 4*p + 3
Look up "Dickson's conjecture". AFAIK there is no known proof of any case
of Dickson's conjecture with k > 1: the closest is Yitang Zhang's proof
that there is some d (with an explicit bound) such that p and p+d are both
prime infinitely often.
Cheers,
Robert
On Mar 11 2020, zbi74583_boat at yahoo.co.jp wrote:
> Does anyone know the proof
> that Prime of the form 4*p + 3 exist infinitely ?
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