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 A145194 Least k for which Omega(6k-1) + Omega(6k+1) >= n. 1
 1, 1, 4, 20, 41, 104, 479, 1146, 7603, 16521, 91146, 188021, 188021, 1861979, 14122396, 43294271, 203450521, 203450521, 5877278646, 5900065104, 16886393229 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a(22) <= 170499674479. a(23) <= 1307169596354. a(24) <= 3178914388021. a(25) <= 3178914388021. a(26) <= 43614705403646 [From Donovan Johnson, Feb 17 2010] LINKS Table of n, a(n) for n=1..21. EXAMPLE When k=1,2 and 3, Omega(6k-1) + Omega(6k+1) = 2. When k=4, Omega(6k-1) + Omega(6k+1) = 3, so a(3)=4. MATHEMATICA Maxie=0; For[x=6, x<10000001, x+=6, S=0; T=0; For[k=1, k< Length[FactorInteger[x-1]]+1, k++, S+= FactorInteger[x-1][[k]][[2]]]; For[m=1, m< Length[FactorInteger[x+1]]+1, m++, T+= FactorInteger[x+1][[m]][[2]]]; If[S+T>Maxie, Print[x/6, " ", S+T]; Maxie=S+T]] CROSSREFS Cf. A145193 Sequence in context: A072977 A341895 A163365 * A164924 A033579 A294630 Adjacent sequences: A145191 A145192 A145193 * A145195 A145196 A145197 KEYWORD nonn AUTHOR Arran Fernandez, Oct 03 2008 EXTENSIONS a(15)-a(21) from Donovan Johnson, Feb 17 2010 STATUS approved

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Last modified June 2 16:59 EDT 2023. Contains 363099 sequences. (Running on oeis4.)