A177214 Numbers k that are the products of two distinct primes such that 2*k-1, 4*k-3, 8*k-7, 16*k-15 and 32*k-31 are also products of two distinct primes.

634, 694, 1387, 1942, 3403, 4714, 5062, 5269, 5353, 5617, 6805, 7495, 8587, 9427, 9847, 10018, 10123, 10705, 10942, 11293, 12139, 13162, 13798, 14191, 14989, 15406, 17197, 19735, 20866, 21439, 22114, 22585, 24277, 25009, 25351, 25399, 26734

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, May 04 2010

Keywords

• nonn

Examples

			634 is a term since 634 = 2*317, 2*634 - 1 = 1267 = 7*181, 4*634 - 3 = 2533 = 17*149, 8*634 - 7 = 5065 = 5*1013, 16*634 = 10129 = 7*1447, and 32*634 = 20257 = 47*431.
		

Crossrefs

Cf. A006881, A177210, A177211, A177212, A177213.

Programs

Mathematica

f[n_]:=Last/@FactorInteger[n]=={1,1}; lst={};Do[If[f[n]&&f[2*n-1]&&f[4*n-3]&&f[8*n-7]&&f[16*n-15]&&f[32*n-31],AppendTo[lst,n]],{n,0,9!}];lst