

A064427


(Number of primes <= n  1) + n.


3



1, 2, 4, 6, 7, 9, 10, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 77
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OFFSET

1,2


COMMENTS

Complement of set {A(prime(n)+n)} = {A014688(n)} = {A(A000040(n)+A000027(n))}. [From Jaroslav Krizek, Dec 10 2009]
a(n) = numbers m such that are not the sum of kth prime and k for any k >= 1. [From Jaroslav Krizek, Dec 10 2009]


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Prime Counting Function
Wikipedia, Primecounting function


FORMULA

For n > 1: a(n) = A000720(n  1) + n.


MATHEMATICA

a[n_] := PrimePi[a[n1]]+n; a[1]=1
Table[PrimePi[n1]+n, {n, 60}] (* Harvey P. Dale, Apr 03 2015 *)


PROG

(Haskell)
a064427 1 = 1
a064427 n = a000720 (n  1) + toInteger n
 Reinhard Zumkeller, Apr 17 2012


CROSSREFS

Cf. A095117.
Sequence in context: A026516 A186493 A111094 * A183569 A248612 A247000
Adjacent sequences: A064424 A064425 A064426 * A064428 A064429 A064430


KEYWORD

nonn


AUTHOR

Santi Spadaro, Sep 30 2001


EXTENSIONS

Definition improved by Reinhard Zumkeller, Apr 16 2012


STATUS

approved



