Search: id:A075230
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%I A075230
%S A075230 20,33,41,71,82,99,151,165,254,267,283,316,345,462,486,496,516,630,657,
%T A075230 668,676,681,687,724,760,945,1004,1050,1085,1167,1305,1314,1316,1326,
%U A075230 1335,1389,1414,1420,1454,1456,1512,1638,1644,1726,1803,1874,1905,1963
%N A075230 Numbers n such that n^7 is an interprime = average of two successive 
               primes.
%C A075230 Interprimes are in A024675, even interprimes are in A072568, odd interprimes 
               are in A072569 n^2 as interprimes are in A075190, n^3 as interprimes 
               are in A075191, n^4 as interprimes are in A075192, n^5 as interprimes 
               are in A075228, n^6 as interprimes are in A075229, n^8 as interprimes 
               are in A075231, n^9 as interprimes are in A075232, n^10 as interprimes 
               are in A075233, a(n) such that a(n)^n = smallest interprime (of the 
               form a^n) are in A075234.
%e A075230 20 is a member because 20^7 = 1280000000 is average of two successive 
               primes 1279999997 and 1280000003.
%p A075230 s := 7: for n from 2 to 1000 do if prevprime(n^s)+nextprime(n^s)=2*n^s 
               then print(n) else; fi; od;
%Y A075230 Cf. A024675, A072568, A072569, A075190-A075192, A075228-A075234.
%Y A075230 Sequence in context: A124665 A134989 A119873 this_sequence A165236 A067468 
               A127906
%Y A075230 Adjacent sequences: A075227 A075228 A075229 this_sequence A075231 A075232 
               A075233
%K A075230 nonn
%O A075230 1,1
%A A075230 Zak Seidov (zakseidov(AT)yahoo.com), Sep 09 2002
%E A075230 Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) Sep 14 2002

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