cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A264721 Composite numbers that are greater than the average of their closest flanking primes.

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%I A264721 #12 Nov 25 2015 20:53:02
%S A264721 10,16,22,27,28,35,36,40,46,51,52,57,58,65,66,70,77,78,82,87,88,94,95,
%T A264721 96,100,106,112,121,122,123,124,125,126,130,135,136,145,146,147,148,
%U A264721 155,156,161,162,166,171,172,177,178,187,188,189,190,196,206,207,208
%N A264721 Composite numbers that are greater than the average of their closest flanking primes.
%C A264721 Composite numbers that are nearer to the immediately next prime than to the immediately previous prime.
%C A264721 Members of this sequence are the numbers C, necessarily composite, such that I_n < C < P_n+1, where P_n is the n-th odd prime and I_n the interprime (A024675) between P_n and P_n+1.
%C A264721 Prime-free subsequence of A264719.
%H A264721 Chris Boyd, <a href="/A264721/b264721.txt">Table of n, a(n) for n = 1..10000</a>
%e A264721 a(7) = 36 because 36 > (31 + 37)/2 = 34.
%t A264721 Select[Range@ 208, And[CompositeQ@ #, # > (Abs@ NextPrime[#, -1] + NextPrime@ #)/2] &] (* _Michael De Vlieger_, Nov 22 2015 *)
%o A264721 (PARI) test(n)= {if(n-precprime(n-1)>nextprime(n+1)-n&&n>2&&!isprime(n),return(1),return(0))}
%o A264721 for(i=1,200,if(test(i),print1(i,", ")))
%Y A264721 Cf. A264719, A264720, A264722.
%K A264721 nonn,easy
%O A264721 1,1
%A A264721 _Chris Boyd_, Nov 21 2015