OFFSET
1,1
COMMENTS
Or: primes sorted according to decreasing ratio A001223(n)/A000040(n). All values are conjectural, derived from the finite list up to prime(200000): large prime gaps at higher indices may still insert numbers above prime(200000) at low positions of the sequence.
Using a table of prime gaps, it is easy to determine that the sequence is correct for all primes < 10^18. - T. D. Noe, Jul 17 2007
LINKS
T. D. Noe, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Prime Gaps
Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]
EXAMPLE
3/5 < 7/11 < 2/3 < 5/7 < 13/17 < 23/29 < 19/23 < 31/37 < 11/13 < ...
Numerators of this chain of inequalities define the sequence.
MATHEMATICA
With[{nn=60}, Take[Transpose[SortBy[Partition[Prime[Range[20*nn]], 2, 1], #[[1]]/ #[[2]]&]][[1]], nn]] (* Harvey P. Dale, Dec 03 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
R. J. Mathar, Jul 15 2007
STATUS
approved