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A075228
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Numbers n such that n^5 is an interprime = average of two successive primes.
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10
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20, 42, 77, 81, 186, 198, 200, 220, 248, 266, 270, 294, 300, 387, 411, 477, 498, 537, 630, 678, 682, 696, 728, 741, 774, 819, 872, 985, 987, 1001, 1014, 1037, 1060, 1083, 1084, 1087, 1098, 1140, 1155, 1162, 1232, 1245, 1278, 1316, 1370, 1392, 1397, 1402
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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^6 as interprimes are in A075229, n^7 as interprimes are in A075230, 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
| 20 is a member because 20^5 = 3200000 is the average of two successive primes 3199997 and 3200003.
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MAPLE
| s := 5: 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
| Cf. A024675, A072568, A072569, A075190-A075192, A075228-A075234.
Sequence in context: A041796 A041798 A132762 * A128672 A126251 A100515
Adjacent sequences: A075225 A075226 A075227 * A075229 A075230 A075231
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Sep 09 2002
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EXTENSIONS
| More terms from Jason Earls (zevi_35711(AT)yahoo.com), Sep 09 2002
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) Sep 14 2002
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