login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075229 Numbers k such that k^6 is an interprime = average of two successive primes. 10
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

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

2 is a term because 2^6 = 64 is the 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[1500], 2#^6 == NextPrime[#^6, -1] + NextPrime[#^6] &]

CROSSREFS

Cf. A024675, A072568, A072569, A075190, A075191, A075192.

Cf. A075228, A075230, A075231, A075232, A075233, 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 16 05:18 EDT 2022. Contains 353693 sequences. (Running on oeis4.)