please do send in sequences that are being discussed!
reismann at free.fr
reismann at free.fr
Wed Dec 13 20:48:01 CET 2006
Dear Neil, Seqfans,
I sent these two sequences :
%I A000001
%S A000001 3,7,13,23,31,113
%N A000001 Primes p for which there are no primes between p and p+sqrt(p)
%C A000001 Conjecture : this sequence is finite and complete.
%e A000001 a(1) = 3 because sqrt(3) < 2.
a(6) = 113 because sqrt(113) < 14.
%O A000001 1,1
%K A000001 ,fini,nonn,
%A A000001 Remi Eismann (reismann at free.fr), Dec 13 2006
%I A000001
%S A000001 2, 3, 5, 7, 13, 23, 113, 1327, 31397, 370261, 2010733, 20831323
%N A000001 Primes p smaller than sqrt(g)*exp(sqrt(g)), with g gap of p
%e A000001 a(9)=31397 because g=72 and sqrt(g)*exp(sqrt(g))=41093,88 > 31397.
%Y A000001 A000040, A001223, A000230
%O A000001 1,1
%K A000001 ,nonn,
%A A000001 Remi Eismann (reismann at free.fr), Dec 13 2006
For Neil : I forgot cross-references in the first sequence : A000040, A001223,
A000230...
For Seqfans : comments and additionals terms will be welcome.
Best,
Rémi
Selon "N. J. A. Sloane" <njas at research.att.com>:
>
> Seqfans, if there are sequences that are being discussed
> on this mailing list, please do submit them now, don't wait
> until January.
>
> That way i can clean up all the emails about them, instead of
> putting them on hold until January
>
> Thanks
>
> Neil
>
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