How the estimate is calculated
Epley (1985): 1RM = w × (1 + r ÷ 30)
Brzycki (1993): 1RM = w × 36 ÷ (37 − r)
Lander (1985): 1RM = 100w ÷ (101.3 − 2.67123 × r)
Lombardi (1989): 1RM = w × r^0.10
O'Conner (1989): 1RM = w × (1 + 0.025 × r)
Mayhew et al. (1992): 1RM = 100w ÷ (52.2 + 41.9 × e^(−0.055r))
Wathen (1994): 1RM = 100w ÷ (48.8 + 53.8 × e^(−0.075r))
w is the weight you lifted.
r is the reps you finished.
Estimates are most reliable from 2–10 reps.
All seven formulas disagree by a few percent.
That spread is normal.
Do not test a true one-rep max alone.
Use a spotter and safety bars.
Epley B (1985), Poundage Chart. Brzycki M (1993), Strength testing — predicting a one-rep max from reps-to-fatigue.
Lombardi VP (1989), Beginning Weight Training. O'Conner B, Simmons J, O'Shea P (1989), Weight Training Today.
Mayhew JL et al. (1992), bench press strength prediction. Lander J (1985), maximum based on reps.
Wathen D (1994), Load assignment, in Essentials of Strength Training and Conditioning (NSCA).