Your 1RM from any set of 1 to 20 reps and the reps you had left.
Estimated 1RM · Epley on 7 reps to failure
123.3kg
Likely range 114.2–132.5 kg
From reps alone: 116.7 kg
Reliability: moderate
Example: 100 kg for 5 reps with 2 in reserve. Change any field to use your own set.
Same set, other formulas
Each on 7 reps to failure, in kg.
Epley Povver123.3
Brzycki120
Lander121.1
Lombardi121.5
Mayhew123.9
O’Conner117.5
Wathen124
Spread: 6.5 kg, O’Conner lowest, Wathen highest.
Rep maxes at this 1RM
Epley, loads rounded to 1.25 kg to 40 kg, 2.5 kg above
Reps
% of 1RM
Load (kg)
1
100.0%
122.5
2
93.8%
115
3
90.9%
112.5
4
88.2%
110
5
85.7%
105
6
83.3%
102.5
7
81.1%
100
8
78.9%
97.5
9
76.9%
95
10
75.0%
92.5
11
73.2%
90
12
71.4%
87.5
The seven equations
w is the weight lifted, r is reps to failure. Here r is your reps plus reps in reserve, with RIR above 3 counted as 3. A single to failure returns the weight itself for every equation.
Epley 1985
1RM = w × (1 + r/30)
Brzycki 1993
1RM = w / (1.0278 − 0.0278r)
Lander 1985
1RM = w / (1.013 − 0.0267123r)
Lombardi 1989
1RM = w × r0.10
Mayhew 1992
1RM = w / (0.522 + 0.419e−0.055r)
O’Conner 1989
1RM = w × (1 + 0.025r)
Wathen 1994
1RM = w / (0.488 + 0.538e−0.075r)
How it works
Reps plus reps in reserve gives the reps you could have done. That number goes through Epley:
1RM = weight × (1 + (reps + RIR) / 30)
RIR above 3 counts as 3, since lifters judge it poorly far from failure (Halperin 2022)
a single with nothing left is its own 1RM
So 100 kg for 5 with 2 in reserve is 7 reps to failure: 100 × (1 + 7/30) = 123.3 kg. The six other formulas run on the same 7 reps. At 1 rep to failure, all seven return the weight lifted.
Lombardi's exponent is 0.10 in Reynolds 2006 and 0.13 in Mayhew 2008. We use 0.10.
The rep-max table runs Epley backwards from your estimate. Loads round to the nearest 1.25 kg up to 40 kg, 2.5 kg above, or 5 lb.
How far to trust it
Every formula was fitted to sets taken to failure, and each gets less accurate as the reps climb.
Fewer than 10 reps gave better estimates (Mayhew 2008, 103 women, bench press).
Reynolds and colleagues advise using no more than 10 reps in a linear equation (Reynolds 2006).
In that study, a 5 kg error in a 5RM grew to 19.7 kg in the predicted leg press 1RM. On the chest press it was 6.3 kg.
In 67 untrained students, every equation under-predicted the deadlift (LeSuer 1997).
The reliability grade is ours, set by reps to failure: 1 to 6 high, 7 to 12 moderate, above 12 rough.
No study has tested adding reps in reserve to reps for a 1RM estimate. We do it because Povver does, and because lifters judge RIR near failure to within about one rep (Halperin 2022). Far from failure, the answer is a guess. Read the range.
The range is reps to failure, plus or minus a quarter of itself, run through Epley. Enter RIR and it widens by one more rep. The quarter is how much lifters differ: at a given share of 1RM, the reps people manage vary by about a quarter of the average (Nuzzo 2024). The extra rep is the usual miss in judging RIR (Halperin 2022).
Sources
Reynolds JM, Gordon TJ, Robergs RA. Prediction of one repetition maximum strength from multiple repetition maximum testing and anthropometry. J Strength Cond Res. 2006;20(3):584–592. doi.org/10.1519/R-15304.1
LeSuer DA, McCormick JH, Mayhew JL, Wasserstein RL, Arnold MD. The accuracy of prediction equations for estimating 1-RM performance in the bench press, squat, and deadlift. J Strength Cond Res. 1997;11(4):211–213. doi.org/10.1519/00124278-199711000-00001
Mayhew JL, Johnson BD, LaMonte MJ, Lauber D, Kemmler W. Accuracy of prediction equations for determining one repetition maximum bench press in women before and after resistance training. J Strength Cond Res. 2008;22(5):1570–1577. doi.org/10.1519/JSC.0b013e31817b02ad
Epley B. Poundage chart. Boyd Epley Workout. Lincoln, NE; 1985.
Nuzzo JL, Pinto MD, Nosaka K, Steele J. Maximal number of repetitions at percentages of the one repetition maximum: a meta-regression and moderator analysis of sex, age, training status, and exercise. Sports Med. 2024;54(2):303–321. doi.org/10.1007/s40279-023-01937-7
Halperin I, Malleron T, Har-Nir I, et al. Accuracy in predicting repetitions to task failure in resistance exercise: a scoping review and exploratory meta-analysis. Sports Med. 2022;52:377–390. doi.org/10.1007/s40279-021-01559-x
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