

A074818


Number of integers in {1, 2, ..., prime(n)} that are coprime to n.


0



2, 2, 4, 4, 9, 5, 15, 10, 16, 12, 29, 13, 38, 19, 26, 27, 56, 21, 64, 29, 42, 36, 80, 30, 78, 47, 69, 46, 106, 31, 123, 66, 84, 66, 103, 51, 153, 78, 104, 70, 175, 52, 187, 88, 106, 96, 207, 75, 195, 92, 147, 111, 237, 84, 187, 113, 170, 131, 273, 75, 279, 142, 176
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OFFSET

1,1


COMMENTS

Compare the definition of a(n) to phi(n) = number of integers in {1, 2, ..., n} that are coprime to n.


LINKS



EXAMPLE

There are five numbers in {1, 2, ..., prime(6) = 13} that are coprime to 6, i.e. 1, 5, 7, 11, 13. Hence a(6) = 5.


MATHEMATICA

h[n_] := Module[{l}, l = {}; For[i = 1, i <= Prime[n], i++, If[GCD[i, n] == 1, l = Append[l, i]]]; l]; Table[Length[h[i]], {i, 1, 100}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



