A145532 Number of numbers removed in each step of Eratosthenes's sieve for 5!.

59, 19, 7, 4

Offset

1,1

Comments

The number of steps in Eratosthenes's sieve for n! is A133228(n).

The number of primes less than 5! is 120 - 59 - 19 - 7 - 4 - 1 = 30 = A003604(5).

Links

Table of n, a(n) for n=1..4.

Example

a(1)=59 because in first step we removed all numbers divisible by 2 (=60) with the exception of the first one, i.e., 2.
a(2)=19 because the number of numbers divisible by 3 and not divisible by 2 is 20 and we remove all with the exception of the first one, i.e., 3.

Crossrefs

Cf. A003604, A133228, A145532-A145540.

Sequence in context: A088665 A198378 A159250 * A152214 A033379 A122252

Adjacent sequences: A145529 A145530 A145531 * A145533 A145534 A145535

Keyword

fini,nonn,full

Author

Artur Jasinski, Oct 12 2008

Status

approved