[seqfan] Re: A conjecture
chris.eveswell at virgin.net
Sun Dec 27 03:07:10 CET 2009
From: seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu]
On Behalf Of Max Alekseyev
Sent: 27 December 2009 01:47
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: A conjecture
The smallest counterexample is p = 3190151.
On Sat, Dec 26, 2009 at 8:36 PM, Max Alekseyev <maxale at gmail.com> wrote:
> That's equivalent to saying that the class number h(-p) (see A002143)
> for prime p==3 (mod 4) is bounded by 2*sqrt(p).
> On Sat, Dec 26, 2009 at 7:30 PM, Christopher Gribble
> <chris.eveswell at virgin.net> wrote:
>> I have strong empirical evidence that
>> (Sum of quadratic non-residues of prime(n) - Sum of quadratic residues of
>> prime(n)) < 2 (prime(n))^1.5
>> Does anyone know of a proof or how to proceed to prove it?
>> Happy New Year,
>> Chris Gribble
>> Seqfan Mailing list - http://list.seqfan.eu/
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