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^6 as interprimes are in A075229, n^7 as interprimes are in A075230, n^8 as interprimes are in A075231, 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
9 is a term because 9^9 = 387420489 is the average of two successive primes 387420479 and 387420499.
MAPLE
s := 9: 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[2869], 2#^9 == NextPrime[#^9, -1] + NextPrime[#^9] &]
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 09 2002
EXTENSIONS
Edited by Robert G. Wilson v Sep 14 2002
STATUS
approved