A182343 -id:A182343 - cp's OEIS frontend

A216974 Numbers k such that k^4+2 is prime.

0, 1, 3, 9, 15, 21, 45, 57, 63, 69, 87, 99, 129, 141, 279, 285, 333, 345, 453, 459, 465, 471, 513, 519, 627, 657, 669, 693, 729, 771, 777, 783, 795, 801, 807, 873, 909, 921, 933, 969, 987, 1011, 1023, 1047, 1119, 1155, 1257, 1299, 1323, 1407, 1419, 1437, 1485

Offset: 1

Michel Lagneau, Sep 21 2012

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Cf. A067200, A067201, A182343 (associated primes).

[n: n in [0..1500] | IsPrime(n^4+2)]; // Bruno Berselli, Sep 21 2012

lst={}; Do[If[PrimeQ[n^4+2], AppendTo[lst, n]], {n, 0, 10^3}]; lst
Select[Range[0, 1500], PrimeQ[#^4 + 2] &] (* Bruno Berselli, Sep 21 2012 *)

select(n->isprime(n^4+2),vector(2000,n,n-1)) /* Joerg Arndt, Sep 21 2012 */

A214001 Numbers n such that n^2+2, n^3+2, n^4+2 and n^5+2 are all prime.

Original entry on oeis.org

0, 1, 909, 2055, 11925, 145881, 191079, 254199, 358875, 490215, 614241, 642105, 648261, 689655, 864159, 959595, 1030911, 1047585, 1056981, 1150335, 1366971, 1406571, 1669845, 1746525, 2299485, 2357751, 2491809, 2494329, 2629869, 2876859, 3162159, 3220041, 3257595

Offset: 1

Michel Lagneau, Feb 15 2013

nonn

n^6+2 is also prime for n = 0, 1, 1746525, 2876859, …

Cf. A056899, A144953, A182343, A216977, A216979, A216930.

Select[Range[3500000], And@@PrimeQ/@(Table[n^i+2, {i, 2, 5}]/.n->#)&]
Select[Range[0,33*10^5],AllTrue[#^Range[2,5]+2,PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jul 21 2018 *)

cp's OEIS Frontend

A216974 Numbers k such that k^4+2 is prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

PARI