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The promethium mining rate is

$ 1/(25,000 - (excavatorsOn * 1,500) - (Mining Level * 7)) $

Excavators Promethium rate Avg Prom per day
1 1/23,500 3.68
2 1/22,000 3.93
3 1/20,500 4.21
4 1/19,000 4.55
5 1/17,500 4.94
6 1/16,000 5.4
7 1/14,500 5.96
8 1/13,000 6.65
9 1/11,500 7.51
10 1/10,000 8.64