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 A112376 Sum of base and exponent of prime powers. 1
 3, 4, 4, 6, 8, 5, 5, 12, 14, 6, 18, 20, 24, 7, 6, 30, 32, 7, 38, 42, 44, 48, 9, 54, 60, 62, 8, 68, 72, 74, 80, 7, 84, 90, 98, 102, 104, 108, 110, 114, 13, 8, 128, 9, 132, 138, 140, 150, 152, 158, 164, 168, 15, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If n = p^q, where p is prime and q > 0, then p+q is in the sequence. If n is not of that form, omit the term. Might be a good "puzzle" sequence - guess the rule given the first ten or so terms. LINKS EXAMPLE n = 3 = 3^1, so 3+1 = 4 is a term; n = 4 = 2^2, so 2+2 = 4 is again a term; n = 5 = 5^1, so we get 5+1 =6. But 6 is not a prime power, so we skip it. PROG (PARI) for(n=1, 300, fac=factor(n); if(matsize(fac)[1]==1, print1(fac[1, 1]+fac[1, 2], ", "))) CROSSREFS Cf. A112375, A064438. A008474 is another version, defined for all n. Sequence in context: A008474 A111611 A100478 * A161359 A224212 A078490 Adjacent sequences:  A112373 A112374 A112375 * A112377 A112378 A112379 KEYWORD nonn AUTHOR Zak Seidov, Dec 04 2005 EXTENSIONS Edited and extended by Klaus Brockhaus, Jan 21 2006 Further edited by N. J. A. Sloane, Nov 19 2018 STATUS approved

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Last modified May 29 20:42 EDT 2020. Contains 334710 sequences. (Running on oeis4.)