A179514 a(1) = 31, a(n) = prime(a(n-1)) - 3a(n-1).
31, 34, 37, 46, 61, 100, 241, 800, 3733, 23824, 200777, 2159228, 28739455, 461652916, 8767088533, 193511261098, 4894482550975, 140176399060982
Offset: 1
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Mathematica
NestList[ Prime@# - 3# &, 31, 17]