

A182942


Ranks of primes when all odd prime powers p^j, for j>=1, are jointly ranked.


2



1, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92
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OFFSET

1,2


COMMENTS

Column 1 of the array A182870. Complement of A182943.


LINKS

Table of n, a(n) for n=1..80.


EXAMPLE

1,2,3,5,6,7,... are the ranks of 3,5,7,11,13,17...
in 3,5,7,9,11,13,17,...


MATHEMATICA

T[i_, j_]:=Sum[Floor[j*Log[Prime[i+1]]/Log[Prime[h]]], {h, 2, PrimePi[Prime[i+1]^j]}]; Table[Flatten[Table[T[i, j], {i, 1, 80}, {j, 1, 1}]]]


CROSSREFS

Cf. A182870, A182943.
Sequence in context: A346722 A007989 A349467 * A349095 A069224 A117578
Adjacent sequences: A182939 A182940 A182941 * A182943 A182944 A182945


KEYWORD

nonn


AUTHOR

Clark Kimberling, Dec 14 2010


STATUS

approved



