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A248911 a(n) = floor( prime(n) - (n+1)*log(n) ). 2
2, 0, 0, 0, 1, 0, 1, 0, 1, 3, 2, 4, 5, 3, 3, 5, 8, 6, 8, 8, 6, 7, 7, 9, 13, 13, 10, 10, 7, 7, 17, 16, 18, 15, 21, 18, 19, 21, 20, 21, 23, 20, 25, 22, 21, 19, 26, 33, 32, 29, 28, 29, 26, 31, 32, 33, 34, 31, 32, 31, 28, 32, 41, 40, 37, 36, 45, 45, 50, 47, 46, 46 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The function log gives the natural logarithm (to base e).

See A059111 for the sequence a(n) = floor(prime(n)-n*log(n)).

LINKS

Michel Lagneau, Table of n, a(n) for n = 1..10000

EXAMPLE

a(8) = 0 because floor(prime(8)-(8+1)*log(8)) = floor(19 -9*2.07944154...) = floor(.28502612...) = 0.

MAPLE

with(numtheory):

for n from 1 to 200 do:

  p:=floor(evalf(ithprime(n)-(n+1)*ln(n))): printf(`%d, `, p):

od:

MATHEMATICA

Table[Floor[Prime[n]-(n+1)Log[n]], {n, 100}]

PROG

(MAGMA) [Floor(NthPrime(n)-(n+1)*Log(n)): n in [1..80]]; // Vincenzo Librandi, Oct 16 2014

CROSSREFS

Cf. A000040, A059111, A059112.

Sequence in context: A284258 A322389 A277735 * A116681 A131371 A319195

Adjacent sequences:  A248908 A248909 A248910 * A248912 A248913 A248914

KEYWORD

nonn

AUTHOR

Michel Lagneau, Oct 16 2014

STATUS

approved

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Last modified May 25 16:40 EDT 2020. Contains 334595 sequences. (Running on oeis4.)