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A237285 Lexicographically earliest sequence of primes such that a(n)*n / sum(i=1..n, a(n) ) is strictly increasing. 1
2, 3, 5, 7, 11, 17, 23, 29, 37, 47, 59, 71, 89, 107, 127, 149, 173, 199, 227, 257, 293, 331, 373, 419, 467, 521, 577, 641, 709, 787, 859, 937, 1019, 1103, 1193, 1289, 1399, 1511, 1621, 1741, 1867, 1997, 2129, 2267, 2411, 2579, 2741, 2909, 3079, 3257, 3449 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If we replace in name of sequence:

primes -> nonprime numbers, then a(n) = A103517(n-1),

primes -> composite numbers, then a(n) = A103517(n),

primes -> noncomposite numbers, then a(n) = A237288(n),

primes -> natural numbers, then a(n) = A000027(n).

LINKS

Table of n, a(n) for n=1..51.

EXAMPLE

For n=6: prime a(6) = 17 > a(5) = 11 is the smallest prime such that (6*17 / 45) > (5*11 / 28); a(6) is not 13 because (6*13 / (45-4)) < (5*11 / 28).

CROSSREFS

Cf. A000040 (primes).

Sequence in context: A040046 A075551 A070866 * A175953 A040089 A267944

Adjacent sequences:  A237282 A237283 A237284 * A237286 A237287 A237288

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Feb 24 2014

STATUS

approved

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Last modified October 21 18:54 EDT 2019. Contains 328308 sequences. (Running on oeis4.)