%I #17 Feb 01 2021 13:35:46

%S 2,2,2,2,2,2,2,3,5,2,2,5,11,11,2,2,5,17,29,17,2,2,7,29,67,83,37,2,2,7,

%T 37,127,257,251,67,2,2,11,53,223,631,1031,733,131,2,2,11,67,347,1297,

%U 3137,4099,2203,257,2,2,11,83,521,2411,7789,15629,16411,6563

%N Table read by antidiagonals of the smallest prime >= n^k, n >= 1 and k >= 0.

%F T(n,k) = next_prime(n^k-1).

%e Table begins:

%e 2, 2, 2, 2, 2, 2, ...

%e 2, 2, 5, 11, 17, 37, ...

%e 2, 3, 11, 29, 83, 251, ...

%e 2, 5, 17, 67, 257, 1031, ...

%e 2, 5, 29, 127, 631, 3137, ...

%e ...;

%e yielding the triangle:

%e 2;

%e 2, 2;

%e 2, 2, 2;

%e 2, 3, 5, 2;

%e 2, 5, 11, 11, 2;

%e 2, 5, 17, 29, 17, 2;

%e ...

%t T[n_,k_]:=NextPrime[n^k-1];Flatten[Table[T[n-k,k],{n,11},{k,0,n-1}]] (* _Stefano Spezia_, Feb 01 2021 *)

%o (PARI) T(n,k) = nextprime(n^k); \\ _Michel Marcus_, Feb 01 2021

%Y Cf. A104080 (n=2), A104081 (n=3), A104082 (n=4), A104083 (n=5), A104084 (n=7).

%K nonn,tabl

%O 1,1

%A _Donald S. McDonald_, Jan 31 2021