k = 81183: 1k < n < 160k
k = 62985: 150k < n < 250k
k = 81089: 100k < n < 355k
k = {135135, 139425, 146865, 229515, 242385, 259545, 319605, 323895}: 1 < n < 50k
k = 146865: 50k < n < 150k
k = {135135, 139425, 229515, 242385, 259545, 319605, 323895}: 50k < n < 170k
k = 1072751: 750k < n < 1M
k = 10001: 400k < n < 515k
n = 512918 not tested.
k = 62985: Missing prime.
k = {10059, 10071, 82755, 101055, 101085, 103077, 103881, 7828821}: 275k < n < 300k