login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A157345
Semiprimes that are the product of two distinct non-Sophie Germain primes.
9
91, 119, 133, 217, 221, 247, 259, 301, 323, 329, 403, 413, 427, 469, 481, 497, 511, 527, 553, 559, 589, 611, 629, 679, 703, 707, 721, 731, 749, 763, 767, 793, 799, 817, 871, 889, 893, 923, 949, 959, 973, 1003, 1027, 1037, 1043, 1057, 1099, 1121, 1139, 1141
OFFSET
1,1
COMMENTS
91 = 7*13; 7 and 13 are not Sophie Germain primes, ...
LINKS
MATHEMATICA
lst={}; Do[If[Plus@@Last/@FactorInteger[n]==2, a=Length[First/@FactorInteger[n]]; If[a==2, b=First/@FactorInteger[n]; c=b[[1]]; d=b[[2]]; If[ !PrimeQ[2*c+1]&&!PrimeQ[2*d+1], AppendTo[lst, n]]]], {n, 7!}]; lst
With[{nn=50}, Take[Union[Times@@@Subsets[Select[Prime[Range[nn]], !PrimeQ[ 2#+1]&], {2}]], nn]] (* Harvey P. Dale, May 04 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved