A237285 Lexicographically earliest sequence of primes such that a(n)*n / sum(i=1..n, a(n) ) is strictly increasing.

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

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 A362017 A040089

Adjacent sequences: A237282 A237283 A237284 * A237286 A237287 A237288

Keyword

nonn

Author

Jaroslav Krizek, Feb 24 2014

Status

approved