A119772 -id:A119772 - cp's OEIS frontend

A119773 (8^n)-th prime.

2, 19, 311, 3671, 38873, 386093, 3681131, 34136029, 310248241, 2777105129, 24563311309, 215187847711, 1870358526653, 16149760533341, 138666449011757, 1184895616861903, 10082409897709157, 85476377250109733, 722285281729443799, 6085631874569939777

Offset: 0

Jim Snow (jsnow(AT)mitre.org), Jun 22 2006

Amiram Eldar, Table of n, a(n) for n = 0..26
Andrew Booker, The Nth Prime Page.

Cf. A033844, A119772, A119777, A119778, A119779.

a[n_] := Prime[8^n]; Array[a, 16, 0] (* Amiram Eldar, Jul 18 2025 *)

a(n)=prime(8^n) \\ Charles R Greathouse IV, Nov 02 2014

a(n) = A033844(3*n). - Amiram Eldar, Jul 18 2025

a(14)-a(19) from Charles R Greathouse IV, Nov 02 2014

A119777 (16^n)-th prime.

Original entry on oeis.org

2, 53, 1619, 38873, 821641, 16290047, 310248241, 5750079047, 104484802057, 1870358526653, 33089240375501, 579863159340527, 10082409897709157, 174160587542317721, 2991614170035124397, 51140670371058101123, 870566678511500413493, 14764978793012287880219

Offset: 0

Jim Snow (jsnow(AT)mitre.org), Jun 22 2006

Amiram Eldar, Table of n, a(n) for n = 0..19
Andrew Booker, The Nth Prime Page.

Cf. A033844, A119772, A119773, A119778, A119779.

a[n_] := Prime[16^n]; Array[a, 12, 0] (* Amiram Eldar, Jul 18 2025 *)

a(n)=prime(16^n) \\ Charles R Greathouse IV, Nov 02 2014

a(n) = A033844(4*n) = A119772(2*n). - Amiram Eldar, Jul 18 2025

a(10)-a(14) from Charles R Greathouse IV, Nov 02 2014

a(15)-a(17) from Amiram Eldar, Jul 18 2025

A119778 (32^n)-th prime.

Original entry on oeis.org

2, 131, 8161, 386093, 16290047, 645155197, 24563311309, 910399916939, 33089240375501, 1184895616861903, 41935796950796653, 1470194760556507397, 51140670371058101123, 1767268299972575740723, 60730194035557507211347, 2076859014052740233944627

Offset: 0

Jim Snow (jsnow(AT)mitre.org), Jun 22 2006

Andrew Booker, The Nth Prime Page.

Subsequence of A033844.

Cf. A119772, A119773, A119777, A119779.

Prime[32^Range[0,10]] (* Harvey P. Dale, Oct 02 2021 *)

a(n)=prime(32^n) \\ Charles R Greathouse IV, Nov 02 2014

a(n) = A033844(5*n). - Amiram Eldar, Jul 18 2025

a(8)-a(11) from Charles R Greathouse IV, Nov 02 2014

a(12)-a(15) from Amiram Eldar, Jul 18 2025

A119779 64^n-th prime.

Original entry on oeis.org

2, 311, 38873, 3681131, 310248241, 24563311309, 1870358526653, 138666449011757, 10082409897709157, 722285281729443799, 51140670371058101123, 3586789210729460889317, 249598086801961825095881, 17254990129969542495182251

Offset: 0

Jim Snow (jsnow(AT)mitre.org), Jun 22 2006

Andrew Booker, The Nth Prime Page.

Cf. A033844, A119772, A119773, A119777, A119778.

Prime[64^Range[0,6]] (* Harvey P. Dale, Jul 24 2021 *)

a(n) = prime(64^n); \\ Amiram Eldar, Jul 18 2025

a(n) = A033844(6*n) = A119772(3*n) = A119773(2*n). - Amiram Eldar, Jul 18 2025

a(7)-a(13) from Amiram Eldar, Jul 18 2025

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

Original entry on oeis.org

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

Hugo Pfoertner, Aug 10 2021

			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 ...

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

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

Cf. A003320, A051129.

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

A096325 a(n) = prime(4^prime(n)).

Original entry on oeis.org

53, 311, 8161, 180503, 71378569, 1339484197, 442795487221, 7877263558621, 2420094683001859, 12375982557205846193, 211104554420210305087, 1025087216809475771050003

Offset: 1

Cino Hilliard, Aug 02 2004

			a(1) = prime(4^prime(1)) = prime(4^2) = prime(16) = 53.

Subsequence of A033844 and A119772.

Table[ Prime[4^Prime[n]], {n, 8}] (* Robert G. Wilson v, Aug 07 2004 *)

f(n,m) = forprime(x=2,n,print1(prime(m^x)","))

a(n) = A119772(prime(n)) = A033844(2*prime(n)). - Amiram Eldar, Jun 06 2024

Edited and extended by Robert G. Wilson v, Aug 07 2004
a(9) from Charles R Greathouse IV, Nov 02 2014
a(10)-a(12) from A033844 added by Amiram Eldar, Jun 06 2024

cp's OEIS Frontend

A119773 (8^n)-th prime.

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A119777 (16^n)-th prime.

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A119778 (32^n)-th prime.

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A119779 64^n-th prime.

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

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A096325 a(n) = prime(4^prime(n)).

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