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A014237 a(n) = (n-th prime) - (n-th nonprime). 5

%I #12 Jun 22 2019 23:13:43

%S 1,-1,-1,-1,2,3,5,5,8,13,13,17,20,21,23,28,33,34,39,41,41,46,49,54,61,

%T 63,64,67,67,69,82,85,89,90,99,100,105,109,112,117,122,123,131,131,

%U 134,135,146,157,159,160,163,167,167,176,181,186,191,191,196

%N a(n) = (n-th prime) - (n-th nonprime).

%C a(n) = A000040(n) - A018252(n). - _Reinhard Zumkeller_, Apr 30 2014

%H Reinhard Zumkeller, <a href="/A014237/b014237.txt">Table of n, a(n) for n = 1..10000</a>

%t nonPrime[n_Integer] := FixedPoint[n + PrimePi@# &, n+PrimePi@n];

%t Table[Prime[n] - nonPrime[n], {n, 1, 70}] (* _G. C. Greubel_, Jun 22 2019 *)

%o (Haskell)

%o a014237 n = a000040 n - a018252 n -- _Reinhard Zumkeller_, Apr 30 2014

%o (Python)

%o from sympy import prime, composite

%o def A014237(n):

%o return 1 if n == 1 else prime(n)-composite(n-1) # _Chai Wah Wu_, Dec 27 2018

%Y Cf. A038529, A026233, A127118.

%K sign

%O 1,5

%A _Clark Kimberling_

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)