

A066136


Primes are replaced by their local sequence number in A000040, while composites are replaced by their sequence number in A002808; (a kind of eigen or homeindexing).


3



0, 1, 2, 1, 3, 2, 4, 3, 4, 5, 5, 6, 6, 7, 8, 9, 7, 10, 8, 11, 12, 13, 9, 14, 15, 16, 17, 18, 10, 19, 11, 20, 21, 22, 23, 24, 12, 25, 26, 27, 13, 28, 14, 29, 30, 31, 15, 32, 33, 34, 35, 36, 16, 37, 38, 39, 40, 41, 17, 42, 18, 43, 44, 45, 46, 47, 19, 48, 49, 50, 20, 51, 21, 52, 53
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OFFSET

1,3


COMMENTS

Primality or compositeness is recognizable from the terms: if successor of a term(>2) is larger by one than the term, then it labels a composite number.


LINKS

Harry J. Smith, Table of n, a(n) for n=1..1000


FORMULA

a(n) = PrimePi(n) if n is prime; a(n) = nPrimePi(n)1 if n is not prime.
a(n) = A026238(n), n>1. [R. J. Mathar, Sep 30 2008]


MATHEMATICA

Do[s=n; If[PrimeQ[n], Print[PrimePi[n]]]; If[ !PrimeQ[n], Print[nPrimePi[n]1]], {n, 1, 1000}]


PROG

(PARI) { for (n=1, 1000, if (isprime(n), a=primepi(n), a=n  primepi(n)  1); write("b066136.txt", n, " ", a) ) } \\ Harry J. Smith, Feb 02 2010


CROSSREFS

Cf. A000040, A000720, A002808, A026238.
Sequence in context: A253138 A283994 A026238 * A257902 A257909 A289439
Adjacent sequences: A066133 A066134 A066135 * A066137 A066138 A066139


KEYWORD

nonn


AUTHOR

Labos Elemer, Dec 07 2001


STATUS

approved



