This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A108609 #10 Jul 01 2018 15:09:29 %S A108609 96,224,360,416,486,504,600,608,792,810,992,1176,1184,1224,1368,1376, %T A108609 1400,1890,1952,2040,2088,2184,2232,2250,2336,2528,2600,2754,2760, %U A108609 2904,2952,3080,3104,3296,3384,3480,3510,3640,3726,4064,4158,4248,4312,4392 %N A108609 6-almost primes whose sum of factors is a prime. %H A108609 Charles R Greathouse IV, <a href="/A108609/b108609.txt">Table of n, a(n) for n = 1..10000</a> %e A108609 96=2*2*2*2*2*3 (6-almost prime) and 2+2+2+2+2+3=13 is a prime. %t A108609 Select[Range[8000], Last[Plus@@FactorInteger[ # ]]==6&&PrimeQ[Plus@@Times@@ Transpose[FactorInteger[ # ]]]&] %t A108609 sfp6Q[n_]:=Module[{pf=Flatten[Table[#[[1]],#[[2]]]&/@FactorInteger[n]]}, Length[ pf]==6&&PrimeQ[Total[pf]]]; Select[Range[4400],sfp6Q] (* _Harvey P. Dale_, Jul 01 2018 *) %o A108609 (PARI) is(n)=my(f=factor(n));sum(i=1,#f~,f[i,2])==6 && isprime(sum(i=1,#f~,f[i,1]*f[i,2])) \\ _Charles R Greathouse IV_, Oct 11 2013 %Y A108609 Cf. A107707, A108607, A108608 (resp.) 3, 4, 5 (resp.)-almost primes whose sum of factors is a prime. %K A108609 nonn %O A108609 1,1 %A A108609 _Zak Seidov_, Jun 12 2005