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a(n) = least prime > binomial(2n, n).
2

%I #12 Dec 25 2022 14:05:26

%S 2,3,7,23,71,257,929,3433,12889,48623,184777,705437,2704157,10400603,

%T 40116607,155117551,601080433,2333606281,9075135317,35345263801,

%U 137846528921,538257874499,2104098963721,8233430727611,32247603683111,126410606437757,495918532948117

%N a(n) = least prime > binomial(2n, n).

%t z = 70;

%t t = Table[Binomial[2 n, n], {n, 1, z}];

%t NextPrime[t]

%o (PARI) a(n) = nextprime(binomial(2*n,n)+1); \\ _Michel Marcus_, Dec 24 2022

%Y Cf. A000040, A000984, A359293, A359294.

%K nonn

%O 0,1

%A _Clark Kimberling_, Dec 24 2022