Little primes offender

[reismann at free.fr]

Hi, seqfans

I'm a little primes offender (prime author: eismann -> 31 results...) but I like
my sequences (very subjective feeling ;)).
Sequence of the weights :
http://www.research.att.com/~njas/sequences/A117078
Sequence of the levels :
http://www.research.att.com/~njas/sequences/A117563
An example of level(1,i) : level(1,11)
http://www.research.att.com/~njas/sequences/A119402

There is a unique decomposition of the primes: provided the weight A117078(n) is
> 0, we have prime(n) = weight * level + gap, or
A000040(n)=A117078(n)*A117563(n)+A001223(n).

Lesser of twin primes - {3} (A001359(n) - {3}) : primes for which k is equal to
3
A006562(n) : primes of level(1,1)

I would like feedbacks, comments, critics (positive or negative of course).

Have a nice day.

Rémi Eismann