

A073368


Remainder when n is divided by number of composites not exceeding n.


0



0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 22, 22
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OFFSET

4,5


LINKS

Table of n, a(n) for n=4..78.


FORMULA

a(n)=Mod[n, A065855(n)]


EXAMPLE

n=14: a(14)=Mod[14,14Pi(14)1]=Mod[14,147]=0; n=15: a(15)=Mod[15,15Pi(15)1]=Mod[15,7]=1.


MATHEMATICA

Table[Mod[w, wPrimePi[w]1], {w, 1, 128}]


CROSSREFS

Cf. A065855, A073366, A073367.
Sequence in context: A208769 A116683 A079748 * A037889 A098055 A092111
Adjacent sequences: A073365 A073366 A073367 * A073369 A073370 A073371


KEYWORD

nonn


AUTHOR

Labos Elemer, Jul 30 2002


STATUS

approved



