A078324 Primes of the form m*sfk(m)+1, where sfk=A007947 (squarefree kernel).

2, 5, 17, 37, 73, 101, 109, 197, 257, 401, 433, 577, 677, 1153, 1297, 1373, 1601, 1801, 2593, 2917, 3137, 3457, 3529, 3889, 4001, 4357, 5477, 7057, 8101, 8713, 8837, 9001, 12101, 13457, 14401, 15377, 15877, 16901, 17957, 18253, 20809