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Search: id:A130789
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| A130789 |
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The primes prime(n) sorted according to increasing prime(n)/prime(n+1). |
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1
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| 3, 7, 2, 5, 13, 23, 19, 31, 11, 47, 113, 17, 53, 37, 61, 43, 89, 73, 83, 139, 29, 199, 67, 211, 181, 79, 41, 293, 131, 317, 241, 97, 151, 103, 157, 109, 167, 283, 173, 523, 59, 127, 337, 71, 233, 467, 1327, 163, 409, 251, 421, 509, 257, 263, 887, 359, 271, 193
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Eric Weisstein's World of Mathematics, MathWorld: Prime Gaps
Thomas R. Nicely, First occurrence prime gaps
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EXAMPLE
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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.
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CROSSREFS
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Cf. A107664, A111870.
Sequence in context: A064824 A091723 A016618 this_sequence A023529 A142069 A159759
Adjacent sequences: A130786 A130787 A130788 this_sequence A130790 A130791 A130792
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KEYWORD
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nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2007
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