OFFSET
1,2
COMMENTS
All terms are odd and very few are composite. Every odd prime is a trivial member.
Very few terms have more than four divisors. The smallest such term is 4753, which has six divisors: 1,7,49,97,679,4753. - Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 11 2004
MATHEMATICA
For[a:=3, a<=500, s =Divisors[a]; n := 1; d := False; While[(n<=2^Length[s])\[And]( ["not" character]d), If[Length[NthSubset[n, s]]>=2, If[ !PrimeQ[Plus@@NthSubset[n, s]], n++, d:= True], n++ ]]; If[ ["not" character]d, Print[a]]; a+=2]; (Kalman)
fQ[n_] := Union@ PrimeQ[Plus @@@ Subsets[ Divisors@n, {2, Infinity}]] == {False}; Select[ Range[3, 235, 2], fQ@# &] (* Robert G. Wilson v, May 25 2009 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Apr 23 2004
EXTENSIONS
More terms from Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 11 2004
a(1)=1 prepended by Max Alekseyev, Mar 31 2015
STATUS
approved