A199364 -id:A199364 - cp's OEIS frontend

A115104 Numbers n such that 4*n^3 + 1 is prime.

1, 3, 4, 7, 9, 10, 19, 25, 34, 37, 39, 42, 49, 54, 55, 72, 73, 78, 85, 87, 93, 94, 102, 108, 109, 118, 138, 142, 147, 157, 160, 165, 168, 175, 192, 195, 202, 210, 214, 220, 228, 232, 243, 247, 249, 250, 252, 253, 258, 267, 273, 274, 279, 289, 297

Offset: 1

Parthasarathy Nambi, Mar 02 2006

nonn

For any n in this sequence, 3*(4*n^3 + 1) has the same nonzero digits as its prime factors in base 2n. - Ely Golden, Dec 12 2016

			If n=94 then (4*n^3 + 1) = 3322337 (prime).

Ely Golden, Table of n, a(n) for n = 1..1000

Cf. A001912. See A199307 for the actual primes.

See also A199364, A199365, A199366, A199367, A199368, A199369.

Select[Range[300], PrimeQ[4*#^3 + 1] &] (* Stefan Steinerberger, Mar 04 2006 *)

is(n)=isprime(4*n^3+1) \\ Charles R Greathouse IV, Feb 17 2017

More terms from Stefan Steinerberger, Mar 04 2006

A199365 Primes of the form 4n^3 + 3.

Original entry on oeis.org

3, 7, 503, 4003, 10979, 32003, 87811, 157219, 219491, 470599, 665503, 821519, 907927, 2048003, 3764771, 4370911, 6572131, 9410551, 12194503, 12448547, 14609059, 16384003, 25326503, 30118147, 34967267, 44957699, 48035959, 55990087, 58824503, 62500003, 63253007, 131072003

Offset: 1

N. J. A. Sloane, Nov 05 2011

nonn

See comment in A199307.

Vincenzo Librandi, Table of n, a(n) for n = 1..3100

Cf. A199307, A199364.

[a: n in [0..300] | IsPrime(a) where a is 4*n^3+3]; // Vincenzo Librandi, Nov 27 2011

Select[Table[4n^3+3,{n,0,6000}],PrimeQ] (* Vincenzo Librandi, Nov 27 2011 *)

a(n) = 4*A199364(n)^3 + 3.

First term inserted by Vincenzo Librandi, Nov 27 2011

cp's OEIS Frontend

A115104 Numbers n such that 4*n^3 + 1 is prime.

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