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Search: id:A075230
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| A075230 |
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Numbers n such that n^7 is an interprime = average of two successive primes. |
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10
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| 20, 33, 41, 71, 82, 99, 151, 165, 254, 267, 283, 316, 345, 462, 486, 496, 516, 630, 657, 668, 676, 681, 687, 724, 760, 945, 1004, 1050, 1085, 1167, 1305, 1314, 1316, 1326, 1335, 1389, 1414, 1420, 1454, 1456, 1512, 1638, 1644, 1726, 1803, 1874, 1905, 1963
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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EXAMPLE
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20 is a member because 20^7 = 1280000000 is average of two successive primes 1279999997 and 1280000003.
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MAPLE
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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;
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CROSSREFS
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Cf. A024675, A072568, A072569, A075190-A075192, A075228-A075234.
Sequence in context: A124665 A134989 A119873 this_sequence A165236 A067468 A127906
Adjacent sequences: A075227 A075228 A075229 this_sequence A075231 A075232 A075233
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 09 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) Sep 14 2002
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