A075899 -id:A075899 - cp's OEIS frontend

A075898 Numbers k such that 3^k + k^2 is prime.

Original entry on oeis.org

2, 4, 10, 22, 40, 304, 1582, 3602, 46162, 127990

Offset: 1

Zak Seidov, Oct 17 2002

a(9) > 20000. - Jon E. Schoenfield, Jan 14 2015

a(10) > 10^5. - Lucas A. Brown, Feb 11 2021

Lucas A. Brown, A075898.py

Cf. A075899 (for the corresponding primes).

[n: n in [0..1000] | IsPrime(3^n+n^2)]; // Vincenzo Librandi, Dec 16 2010

Select[Range[10000], PrimeQ[3^# + #^2] &] (* Vincenzo Librandi, Oct 04 2012 *)

is(n)=ispseudoprime(3^n+n^2) \\ Charles R Greathouse IV, Jun 12 2017

a(6) from Vincenzo Librandi, Dec 16 2010
a(7) from D. S. McNeil, Dec 16 2010
a(8) from Vincenzo Librandi, Oct 04 2012
a(9) from Lucas A. Brown, Feb 11 2021
a(10) from Michael S. Branicky, Sep 07 2024

A182329 Primes of the form 5^n + n^2.

Original entry on oeis.org

29, 641, 15661, 244140769, 55511151231257827021181583404541018541

Offset: 1

Alex Ratushnyak, Apr 25 2012

nonn

Cf. A061119, A075899.

Select[Table[5^n + n^2, {n, 0, 500}], PrimeQ] (* T. D. Noe, Apr 25 2012 *)

A182328 Primes of the form 4^n + n^2.

Original entry on oeis.org

5, 73, 1049, 16433, 67109033, 1237940039285380274899126249

Offset: 1

Alex Ratushnyak, Apr 25 2012

nonn

Cf. A061119, A075899.

Select[Table[4^n + n^2, {n, 0, 200}], PrimeQ] (* T. D. Noe, Apr 25 2012 *)

cp's OEIS Frontend

A075898 Numbers k such that 3^k + k^2 is prime.

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A182329 Primes of the form 5^n + n^2.

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Mathematica

A182328 Primes of the form 4^n + n^2.

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Mathematica