A119956 Numbers n such that n^3+1=p*q*r where p,q,r are distinct primes.

9, 10, 12, 13, 21, 25, 30, 34, 36, 40, 46, 52, 66, 76, 81, 90, 96, 118, 126, 130, 132, 142, 144, 154, 165, 172, 177, 180, 193, 196, 198, 204, 216, 226, 228, 238, 240, 246, 250, 256, 262, 268, 273, 282, 294, 312, 333, 336, 345, 346, 366, 370, 372, 378, 393, 400

Offset: 1

Author

James R. Buddenhagen, Aug 02 2006

Keywords

• nonn

Comments

A115403 is a supersequence not requiring that p,q,r are distinct.

Examples

			9^3+1=2*5*73 a product of 3 distinct primes, so 9 is in the sequence.
		

Links

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

Crossrefs

Cf. A115403.

Programs

Mathematica

Select[Range[400], Last/@FactorInteger[#^3 + 1] == {1, 1, 1}&] (* Vincenzo Librandi, Sep 15 2016 *)