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A075229 Numbers n such that n^6 is an interprime = average of two successive primes. 9
2, 4, 6, 18, 24, 27, 30, 53, 96, 122, 175, 195, 213, 231, 265, 300, 408, 420, 426, 450, 492, 532, 570, 614, 618, 657, 682, 705, 774, 777, 822, 858, 915, 946, 948, 1001, 1008, 1061, 1073, 1107, 1145, 1186, 1233, 1269, 1323, 1352, 1374, 1406, 1413, 1440, 1480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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^5 as interprimes are in A075228, 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.

LINKS

Table of n, a(n) for n=1..51.

EXAMPLE

2 is a member because 2^6 = 64 is average of two successive primes 63 and 67.

MAPLE

s := 6: for n from 2 to 1000 do if prevprime(n^s)+nextprime(n^s)=2*n^s then print(n) else; fi; od;

MATHEMATICA

Select[ Range[1448], 2#^5 == PrevPrim[ #^5] + NextPrim[ #^5] &]

Select[ Range[1499], 2#^6 == PrevPrim[ #^6] + NextPrim[ #^6] &]

CROSSREFS

Cf. A024675, A072568, A072569, A075190-A075192, A075228-A075234.

Sequence in context: A019464 A064402 A268577 * A242765 A073664 A088174

Adjacent sequences:  A075226 A075227 A075228 * A075230 A075231 A075232

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 09 2002

EXTENSIONS

Edited by Robert G. Wilson v Sep 14 2002

STATUS

approved

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Last modified October 27 23:26 EDT 2020. Contains 338047 sequences. (Running on oeis4.)