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 A075233 Numbers k such that k^10 is an interprime = average of two successive primes. 10
 9, 42, 87, 105, 108, 141, 144, 166, 215, 250, 381, 387, 482, 490, 500, 645, 748, 792, 831, 860, 876, 968, 990, 1377, 1448, 1468, 1526, 1769, 1780, 1922, 1968, 2084, 2118, 2228, 2245, 2252, 2373, 2381, 2478, 2565, 2672, 2781, 2883, 2915, 2972, 2988, 3008 (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^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, 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 9^10 = 3486784401 is the average of two successive primes 3486784393 and 3486784409. MAPLE s := 10: 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[3087], 2#^10 == NextPrime[#^10, -1] + NextPrime[#^10] &] CROSSREFS Cf. A024675, A072568, A072569, A075190, A075191, A075192. Cf. A075228, A075229, A075230, A075231, A075232, A075234. Sequence in context: A118546 A334147 A336984 * A062783 A172464 A269053 Adjacent sequences:  A075230 A075231 A075232 * A075234 A075235 A075236 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 June 23 09:00 EDT 2021. Contains 345395 sequences. (Running on oeis4.)