A073574 Numbers n such that n^3 + 6 is prime.

1, 5, 7, 13, 17, 41, 73, 77, 101, 103, 133, 143, 145, 161, 173, 181, 187, 251, 271, 283, 293, 313, 325, 391, 395, 425, 461, 497, 503, 511, 523, 581, 593, 595, 647, 671, 703, 733, 745, 803, 805, 815, 833, 847, 853, 875, 941, 965, 973, 997, 1001, 1021, 1085, 1091, 1097, 1111, 1141, 1183

Offset: 1

Author

Zak Seidov, Sep 01 2002

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A067200 (n^3+2 is prime).

Programs

Magma

[n: n in [0..1500]|IsPrime(n^3+6)]; // Vincenzo Librandi, Dec 16 2010

Mathematica

Select[ Range[ 950 ], PrimeQ[ #^3+6 ] & ]
Select[Range[1,1201,2],PrimeQ[#^3+6]&] (* Because all terms must be odd, there is no need to test even numbers *) (* Harvey P. Dale, Oct 03 2018 *)

PARI

is(n)=isprime(n^3+6) \\ Charles R Greathouse IV, Jun 12 2017

Extensions

More terms from Vincenzo Librandi, Dec 16 2010