

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
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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

Table of n, a(n) for n=1..99.


MATHEMATICA

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


CROSSREFS

Cf. A000230, A082862, A082884A082891, A002386.
Sequence in context: A008350 A019556 A165640 * A025839 A053261 A123584
Adjacent sequences: A082889 A082890 A082891 * A082893 A082894 A082895


KEYWORD

nonn


AUTHOR

Labos Elemer, Apr 17 2003


STATUS

approved



