Irregular table containing the distinct prime factors of binomial(2*n,n).

2, 2, 3, 2, 5, 2, 5, 7, 2, 3, 7, 2, 3, 7, 11, 2, 3, 11, 13, 2, 3, 5, 11, 13, 2, 5, 11, 13, 17, 2, 11, 13, 17, 19, 2, 3, 7, 13, 17, 19, 2, 7, 13, 17, 19, 23, 2, 5, 7, 17, 19, 23, 2, 3, 5, 17, 19, 23, 2, 3, 5, 17, 19, 23, 29, 2, 3, 5, 17, 19, 23, 29, 31

1

The length of each row is given in A067434. Sequence S000865 makes it clearer that each row consists to groups of contiguous primes.

T. D. Noe, Plot of 200 rows

T. D. Noe, Table of 200 rows

Eric W. Weisstein, MathWorld: Central Binomial Coefficient

(Mma) Table[Transpose[FactorInteger[Binomial[2*n, n]]][[1]], {n, 20}]

Cf. A067434.

nonn,tabf

T. D. Noe, Apr 21 2016