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A322158
a(n) is the smallest m for which binomial(m,5) has exactly n distinct prime factors.
0
6, 9, 11, 22, 25, 70, 78, 276, 497, 990, 1771, 8178, 20504, 44254, 181051, 416328, 1013728, 3383579, 8667726, 34332376, 122289552, 244215150, 969751302, 1865174676, 6648863728, 26888317326, 107132035803
OFFSET
2,1
COMMENTS
Binomial(m,5) is never prime, so the offset is 2.
MATHEMATICA
a[n_] := Module[{m = 5}, While[PrimeNu[Binomial[m, 5]] != n, m++]; m]; Array[a, 10, 2] (* Amiram Eldar, Nov 29 2018 *)
PROG
(PARI) a(n) = for(m=5, oo, if(omega(binomial(m, 5))==n, return(m))) \\ Felix Fröhlich, Dec 01 2018
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Zachary M Franco, Nov 27 2018
EXTENSIONS
a(22)-a(23) from Chai Wah Wu, Dec 29 2018
a(24)-a(28) from Giovanni Resta, Jan 04 2019
STATUS
approved