A347000 The (m^n)-th prime, written as square array T(n,m) read by falling antidiagonals.

2, 3, 2, 5, 7, 2, 7, 23, 19, 2, 11, 53, 103, 53, 2, 13, 97, 311, 419, 131, 2, 17, 151, 691, 1619, 1543, 311, 2, 19, 227, 1321, 4637, 8161, 5519, 719, 2, 23, 311, 2309, 10627, 28687, 38873, 19289, 1619, 2, 29, 419, 3671, 21391, 79349, 171529, 180503, 65687, 3671, 2

Offset

1,1

Links

Hugo Pfoertner, Table of k, a(k) for k = 1..351, antidiagonals for m+n<=26, flattened.

Example

The array begins
  2   3     5      7     11      13       17 ...
  2   7    23     53     97     151      227 ...
  2  19   103    311    691    1321     2309 ...
  2  53   419   1619   4637   10627    21391 ...
  2 131  1543   8161  28687   79349   185707 ...
  2 311  5519  38873 171529  567871  1549817 ...
  2 719 19289 180503 994837 3950183 12579617 ...

Mathematica

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

Crossrefs

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

Cf. A003320, A051129.

Sequence in context: A351847 A192141 A092556 * A354271 A344482 A092550

Adjacent sequences: A346997 A346998 A346999 * A347001 A347002 A347003

Keyword

nonn,tabl

Author

Hugo Pfoertner, Aug 10 2021

Status

approved