As far as the first 20,000 numbers, there are only 5 primes discovered in this sequence:

{1, 5, 32, 288, 3413, 50069, 873612, 17650828, 405071317, 10405071317, 295716741928, 9211817190184, 312086923782437, 11424093749340453, 449317984130199828, 18896062057839751444, 846136323944176515621, 40192544399240714091045, 2018612200059554303215024, 106876212200059554303215024, 5949463230586042075684339445, 347377340594805599472331063029, 21227845340442717633827363973596, 1354963622190726842082908836817372, 90172805592203250075973442284082997, 6246292385799360560872647730684286773, 449672780628837130509122278349834179576, 33595195893882211993081850531714439992312, 2601281349055093346554910065262730566475781, 208492413443704093346554910065262730566475781,...}

I just thought this is interesting to others :)