Two primes sum to a factorial

[Leroy Quet]

>...
> a(n) = number of primes p such that n!-p is
> prime.
> 
> I get that the sequence begins:  (offset 1)
> 0,0,1,6,24,...
> 
> (a(n), for all n >= 4, is even.)
> 

Ah, the sequence A062311 is highly related to my
sequence. (My sequence is the same as A062311 for
terms 1 through 3, then my a(n) = 2*A062311(n)
for n >= 4. Or at least I think so.)

Is my sequence worth submitting, given that the
closely related sequence is already in the
database?

Thanks,
Leroy Quet




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Are A135667 and A028391 (after corrections of offsets) the same?
--
Richard



Leroy Quet:

> Is my sequence worth submitting, given that the closely related  
> sequence is already in the database?

In my opinion, no. Yours: "Number of primes p such that n!-p is prime."
A062311: "Number of ways writing n! as a sum of two primes."

Dates to 2001, with only 8 terms and lacking a "more" request. Here's  
a few more terms, regardless:

{0, 0, 1, 3, 12, 39, 184, 951, 5531, 38713, 346207, 3130812}





Are A135286 and A135283 the same? Shouldn't the difference in the definitions
make them differe somewhere?
--
Richard