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A145583
a(n) = number of numbers removed in the n-th step of Eratosthenes's sieve for 10^2.
11
OFFSET
1,1
COMMENTS
Number of steps in Eratosthenes's sieve for 10^n is A122121(n).
Number of primes less than 10^2 is equal to 10^2 - (sum all of numbers in this sequence) - 1 = A006880(2).
MATHEMATICA
f3[k_Integer?Positive, i_Integer?Positive] := Module[{f, m, r, p}, p = Transpose[{r = Range[2, i], Prime[r]}]; f[x_] := Catch[Fold[If[Mod[x, #2[[2]]] == 0, Throw[m[ #2[[1]]] = m[ #2[[1]]] + 1], #1] &, If[Mod[x, 2] == 0, Throw[m[1] = m[1] + 1]], p]]; Table[m[n] = -1, {n, i}]; f /@ Range[k]; Table[m[n], {n, i}]]; nn = 2; kk = PrimePi[Sqrt[10^nn]]; t3 = f3[10^nn, kk] (*Bob Hanlon (hanlonr(AT)cox.net) *)
KEYWORD
fini,nonn
AUTHOR
Artur Jasinski with assistance from Bob Hanlon (hanlonr(AT)cox.net), Oct 14 2008
STATUS
approved