prime sequence

[kohmoto]

    Neil

    These are some prime related sequences.
    Are they fit to OEIS?
    If so, I will format them.

    %S A000001     2, 1, 2, 1, 5, 3, 8, 4, 3, 14
    %N A000001    [Prime(n)/(Prime(n+1)-Prime(n))]

    This is reciprocal number of a distance between adjacent primes

    %S A000002    0, -1, 1, -1, 1, -1, -1, 2, -2,
    %N A000002    Prime(n)-(Prime(n+1)+Prime(n-1))/2
                        OffSet 5

    I think that it represents a distance of Prime(n) and linear sequence.
    I awoke that it is -1/2*{the difference of A001223}

    %S A000003    0, 1, 2, 1, 2, 2, 4, 3, 2, 2, 1,
    %N A000003    f(m)=(m+1)/2^r , a(n)={minimal k such that f^k 
(Prime(n))=1}
                        f(f(f(f(17))))=1 , so a(17)=4

    %S A000004    2, 1, 3, 2, 1, 1, 3, 1, 5, 1,
    %N A000004    2^a(n) is the largest power of two dividing (Prime(n)+1)

    It appears when we use P+1 prime test.

    Yasutoshi
 
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://list.seqfan.eu/pipermail/seqfan/attachments/20050217/8c1cffda/attachment.htm>