Comment on A117078 : 2, 3, 7 : primes for which ln(A000040(n)) < SQRT(A001223(n))

[reismann at free.fr]

Hi

conjecture 2 = Cramér's conjecture.
But I am surprised that :
"Primes for which A117078(n) = 0" = "Primes for which ln(A000040(n)) <
SQRT(A001223(n))"

Rémi EISMANN


Selon reismann at free.fr:

> Dear Seqfans,
>
> I will submit this comment on January on A117078 :
>
> Subject: COMMENT FROM Remi Eismann RE A117078
> %I A117078
> %C A117078 Conjecture 1 : A117078(n) = 0 only for primes 2, 3 and 7.
> Conjecture 2 : 2, 3, 7 : primes for which ln(A000040(n)) < SQRT(A001223(n)).
> This sequence is finite and complete.
> %O A117078 0
> %K A117078 ,nonn,
> %A A117078 Remi Eismann (reismann at free.fr), Dec 10 2006
>
> Any comments on the powerful conjecture 2 ?
>
> Rémi Eismann
>