A182477 Primes of the form p*q*r + 2, where p, q and r are distinct primes.

107, 167, 197, 233, 257, 347, 359, 401, 431, 457, 467, 557, 563, 617, 647, 653, 743, 761, 797, 863, 887, 937, 971, 1087, 1097, 1187, 1223, 1237, 1283, 1297, 1409, 1481, 1493, 1549, 1553, 1583, 1597, 1601, 1607, 1637, 1697, 1871, 1889, 1907, 1949, 2003, 2017

Offset: 1

Author

Alex Ratushnyak, May 01 2012

Keywords

• nonn

Examples

			107 = 3*5*7+2.
		

Crossrefs

Cf. A115267.

Programs

Mathematica

mx = 50; ps = Prime[Range[2, mx + 1]]; t = Table[ps[[i]]*ps[[j]]*ps[[k]] + 2, {i, mx}, {j, i + 1, mx}, {k, j + 1, mx}]; Select[Union[Flatten[t]], # <= 3*5*ps[[-1]] + 2 && PrimeQ[#] &] (* T. D. Noe, May 01 2012 *)

Formula

{A007304(n)+2} INTERSECTION {A000040}.