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Search: id:A075192
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| A075192 |
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Numbers n such that n^4 is an interprime = average of two successive primes. |
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10
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| 3, 5, 8, 21, 55, 66, 87, 99, 104, 105, 110, 120, 129, 135, 141, 144, 152, 168, 172, 186, 187, 192, 211, 222, 243, 279, 283, 295, 297, 321, 342, 385, 395, 398, 408, 425, 426, 460, 520, 541, 559, 597, 626, 627, 638, 642, 657, 666, 673, 680, 713, 755, 759, 765
(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^5 as interprimes are in A075228, 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
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3 belongs to this sequence because 3^4 = 81 is the average of two successive primes 79 and 83.
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MAPLE
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s := 4: 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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MATHEMATICA
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Select[ Range[776], 2#^4 == PrevPrim[ #^4] + NextPrim[ #^4] &]
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CROSSREFS
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Cf. A024675, A072568, A072569, A075190-A075192, A075228-A075234.
Sequence in context: A112656 A002366 A141615 this_sequence A101984 A108460 A027520
Adjacent sequences: A075189 A075190 A075191 this_sequence A075193 A075194 A075195
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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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