Search: id:A014689
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%I A014689
%S A014689 1,1,2,3,6,7,10,11,14,19,20,25,28,29,32,37,42,43,48,51,52,57,60,65,72,
%T A014689 75,76,79,80,83,96,99,104,105,114,115,120,125,128,133,138,139,148,149,
%U A014689 152,153,164,175,178,179,182,187,188,197,202,207,212,213,218,221,222
%N A014689 a(n) = prime(n)-n, the number of nonprimes less than prime(n).
%C A014689 a[n]=A014689[n]=A048864[A000040(n)]=number of nonprimes in RRS of n-th 
               prime. - Labos E. (labos(AT)ana.sote.hu), Oct 10 2002
%C A014689 Contribution from Enoch Haga (Enokh(AT)comcast.net), May 25 2009: (Start)
%C A014689 A000040 - A014689 = A000027; in other words, the sequence of natural 
               numbers
%C A014689 subtracted from the prime sequence produces A014689. (End)
%C A014689 a(n) = A000040(n) - n. a(n) = inverse (frequency distribution) sequence 
               of A073425(n), i.e. number of terms of sequence A073425(n) less than 
               n. a(n) = A065890(n) + 1, for n >= 1. a(n) - 1 = A065890(n) = the 
               number of composite numbers, i.e. (A002808) less than n-th primes, 
               (i.e. < A000040(n)). [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), 
               Jun 27 2009]
%C A014689 a(n) = A162177(n+1) + 1, for n >= 1. a(n) - 1 = A162177(n+1) = the number 
               of composite numbers, i.e. (A002808) less than (n+1)-th number of 
               set {1, primes}, (i.e. < A158611(n+1)). [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), 
               Jun 28 2009]
%H A014689 T. D. Noe, <a href="b014689.txt">Table of n, a(n) for n=1..1000</a>
%t A014689 Table[Prime[n] - n, {n, 61}] (Alonso Delarte)
%Y A014689 Cf. A000040. Equals A014692 - 1.
%Y A014689 Cf. A033286.
%Y A014689 A000027 [From Enoch Haga (Enokh(AT)comcast.net), May 25 2009]
%Y A014689 Cf. A000040, A158611, A002808, A065890. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), 
               Jun 27 2009]
%Y A014689 Sequence in context: A042964 A062837 A073170 this_sequence A117206 A026443 
               A032858
%Y A014689 Adjacent sequences: A014686 A014687 A014688 this_sequence A014690 A014691 
               A014692
%K A014689 nonn,easy,nice
%O A014689 1,3
%A A014689 Mohammad K. Azarian (ma3(AT)evansville.edu)
%E A014689 More terms from Vasiliy Danilov (danilovv(AT)usa.net) 1998 Jul

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