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 A111231 Numbers which are perfect powers m^k, where m is an integer, equal to the sum of m distinct primes. 1
 0, 8, 16, 27, 32, 64, 81, 125, 128, 216, 243, 256, 343, 512, 625, 729, 1000, 1024, 1296, 1331, 1728, 2048, 2187, 2197, 2401, 2744, 3125, 3375, 4096, 4913, 5832, 6561, 6859, 7776, 8000, 8192, 9261, 10000, 10648, 12167, 13824, 14641, 15625, 16384, 16807 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Perfect powers m^k with k > 2. Is a(n) = A076467(n) for n>1 ? [R. J. Mathar, May 22 2009] LINKS EXAMPLE a(1)=0 because 0^2=0^3=...=0^n and 0 is the number of primes; a(2)=8 because 2^3=3+5 and 2 is the numbers of primes; a(3)=16 because 2^4=3+13 and 2 is the numbers of primes. CROSSREFS Cf. A087156. Sequence in context: A107606 A036966 A076467 * A111307 A076405 A099997 Adjacent sequences:  A111228 A111229 A111230 * A111232 A111233 A111234 KEYWORD nonn AUTHOR Giovanni Teofilatto, Oct 28 2005 EXTENSIONS Offset corrected by R. J. Mathar, May 25 2009 STATUS approved

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Last modified June 19 09:44 EDT 2013. Contains 226401 sequences.