New sequence : Primes for which A000040(n) < SQRT(A001223(n))EXP(SQRT(A001223(n)))

[reismann at free.fr]

Seqfans,

I send you David's interesting comments.
Best

Rémi
Selon David Wilson <davidwwilson at comcast.net>:

> There are no additional elements of Remi's sequence <= 2719000000.
>
> Except for 5 and 13, all of the terms of Remi's sequence also belong to
> A000230.
>
> Checking A000230 uncovers additional values of Remi's sequence:
>
> 25056082087, 42652618343, 2614941710599, 19581334192423 ,218209405436543,
> 1693182318746371
>
> with associated gaps
>
> 456, 464, 652, 766, 906, 1132
>
> We cannot properly extend Remi's sequence with these elements since there
> might be other elements not in A000230.
>
> ----- Original Message -----
> From: <reismann at free.fr>
> To: <seqfan at ext.jussieu.fr>
> Cc: <mwolf at ift.uni.wroc.pl>
> Sent: Tuesday, December 12, 2006 5:30 AM
> Subject: New sequence : Primes for which A000040(n) <
> SQRT(A001223(n))EXP(SQRT(A001223(n)))
>
>
> > Dear Seqfans
> >
> > Primes p smaller than sqrt(g)*exp(sqrt(g)), with g gap of p :
> > 2, 3, 5, 7, 13, 23, 113, 1327, 31397, 370261, 2010733, 20831323...
> > and the associated gaps :
> > 1, 2, 2, 4, 4, 6, 14, 34, 72, 112, 148, 210...
> > There are no other terms less than 49979687.
> > In connection with Wolf's conjecture.
> >
> > Best
> >
> > Rémi Eismann
>
>