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A086530 Beginning with 1, odd numbers such that the arithmetic mean of successive pairs of terms gives primes in their natural order. {a(n) + a(n+1)}/2 = prime(n). 1

%I #15 May 12 2023 09:10:17

%S 1,3,3,7,7,15,11,23,15,31,27,35,39,43,43,51,55,63,59,75,67,79,79,87,

%T 91,103,99,107,107,111,115,139,123,151,127,171,131,183,143,191,155,

%U 203,159,223,163,231,167,255,191,263,195,271,207,275,227,287,239,299

%N Beginning with 1, odd numbers such that the arithmetic mean of successive pairs of terms gives primes in their natural order. {a(n) + a(n+1)}/2 = prime(n).

%H Stefano Spezia, <a href="/A086530/b086530.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n+1) = 2*prime(n) - a(n). - Sam Handler (sam_5_5_5_0(AT)yahoo.com), Nov 13 2004

%t a[1]=1; a[n_]:=2Prime[n-1]-a[n-1]; Array[a,58] (* _Stefano Spezia_, May 06 2023 *)

%Y Cf. A100484 (2*prime(n)).

%K nonn

%O 1,2

%A _Amarnath Murthy_, Jul 31 2003

%E More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Nov 13 2004

%E Terms a(37) and beyond corrected by _Stefano Spezia_, May 06 2023

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Last modified September 17 14:54 EDT 2024. Contains 375987 sequences. (Running on oeis4.)