

A082892


Floor(q(j)), where q(j) = 2j/log(A000230(j)); log is natural logarithm, 2js are prime gaps > 1, A000230(j) is the minimal lesser prime opening the consecutive prime distance equals 2j.


1



1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 9, 8, 8, 9, 8, 8, 8, 9, 10, 9, 9, 10, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 11
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

For these larger and larger gapinitiating primes, integer part of relevant quotient,q, may exceed 27, all values between 1 and 28 occur. Observation supports conjecture that infsup(q) is infinity.


LINKS



MATHEMATICA

t=A000230 list; Table[Floor[2*j/Log[Part[t, j]]//N], {j, 1, Length[t]}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



