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The (m^n)-th prime, written as square array T(n,m) read by falling antidiagonals.
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%I #13 Aug 13 2021 01:37:36

%S 2,3,2,5,7,2,7,23,19,2,11,53,103,53,2,13,97,311,419,131,2,17,151,691,

%T 1619,1543,311,2,19,227,1321,4637,8161,5519,719,2,23,311,2309,10627,

%U 28687,38873,19289,1619,2,29,419,3671,21391,79349,171529,180503,65687,3671,2

%N The (m^n)-th prime, written as square array T(n,m) read by falling antidiagonals.

%H Hugo Pfoertner, <a href="/A347000/b347000.txt">Table of k, a(k) for k = 1..351</a>, antidiagonals for m+n<=26, flattened.

%e The array begins

%e 2 3 5 7 11 13 17 ...

%e 2 7 23 53 97 151 227 ...

%e 2 19 103 311 691 1321 2309 ...

%e 2 53 419 1619 4637 10627 21391 ...

%e 2 131 1543 8161 28687 79349 185707 ...

%e 2 311 5519 38873 171529 567871 1549817 ...

%e 2 719 19289 180503 994837 3950183 12579617 ...

%t T[n_,m_]:=Prime[m^n];Flatten[Table[Reverse[Table[T[n-m+1,m],{m,n}]],{n,10}]] (* _Stefano Spezia_, Aug 10 2021 *)

%Y Cf. A000040, A033844, A038833, A119772, A011757, A055875, A109791, A062448.

%Y Cf. A003320, A051129.

%K nonn,tabl

%O 1,1

%A _Hugo Pfoertner_, Aug 10 2021