[seqfan] Re: A conjecture

[Max Alekseyev]

The smallest counterexample is p = 3190151.

Max

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).
>
> Max
>
> 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
>>
>>
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>