Least integer c such that binomial(c,n) has n prime factors greater than n.
2, 6, 15, 22, 59, 70, 119, 143, 159, 187, 374, 377, 538, 564, 565, 566, 908, 909, 1273, 1351, 1646, 1647, 2335, 2336, 2337, 2338, 2339, 2429, 3296, 3297, 4091, 4192, 4193, 4194, 4195, 4196, 5562, 5563, 5564, 5565, 5993, 5999, 9718, 9719, 10523, 9727, 12227
1
This function is not monotonic.
T. D. Noe, Plot of 100 terms
T. D. Noe, Table of 100 terms
MathOverflow, Prime divisors of the respectively minimal binomial coefficients
(Mma) Table[b = n + 1; While[Length[Select[Transpose[FactorInteger[Binomial[b, n]]][[1]], # > n &]] != n, b++]; b, {n, 50}]
Cf. A005733.
nonn,hard
T. D. Noe, Oct 06 2014