Formula Hub · 7 formulas compared

1RM Formula Comparison

All seven major 1RM prediction formulas — equations, accuracy data, study citations, and head-to-head comparisons. The page that answers “which 1RM formula is the most accurate” with research-grounded specifics.

All 7 formulas at a glance

FormulaYearEquationBest forAccuracyBias
Epley19851RM = weight × (1 + reps / 30)2-10 reps±5%balanced
Brzycki19931RM = weight × 36 / (37 − reps)1-10 reps±3% for reps under 10balanced
Lombardi19891RM = weight × reps^0.103-12 reps±4% for trained individualsunderestimates
O'Conner19891RM = weight × (1 + reps × 0.025)1-12 reps±6% across all rep rangesunderestimates
Mayhew19921RM = 100 × weight / (52.2 + 41.9 × e^(−0.055 × reps))1-15 reps±4% consistentlybalanced
Wathan19941RM = 100 × weight / (48.8 + 53.8 × e^(−0.075 × reps))1-12 reps±3% for heavy loadsbalanced
Lander19851RM = 100 × weight / (101.3 − 2.67123 × reps)1-10 reps±5% with built-in safety marginunderestimates

Click any formula name to see its history, calculator, validation data, and FAQ.

Side-by-side: same set, all 7 formulas

How much do the formulas actually disagree? Here are four sample sets run through every formula. Notice the spread tightens at low reps and widens at higher reps.

SetEpleyBrzyckiLombardiO'ConnerMayhewWathanLander
135 lb × 10
spread: 13 lb
180
180
170
169
177
182
181
225 lb × 5
spread: 15 lb
263
253
264
253
268
262
256
315 lb × 3
spread: 25 lb
347
334
352
339
359
343
338
405 lb × 1
spread: 36 lb
419
405
405
415
441
410
411

Amber = highest estimate · Blue = lowest estimate. The trimmed-mean average (used by our main calculator) drops the highest and lowest, then averages the middle five for stability.

Pick the right formula for your situation

Testing 1-3 reps (heavy singles/doubles)

Use Wathan or Brzycki. Both are calibrated on heavy training data and produce the most accurate predictions when reps are limited.

Testing 4-8 reps (most common)

Almost any formula works — they converge in this range. Use Epley for fast back-of-envelope math or the trimmed-mean average from our main calculator.

Testing 10+ reps (high-rep sets)

Use Mayhew — its exponential structure stays accurate at high rep counts where linear formulas (Epley, O'Conner) start to overestimate significantly.

Beginner or returning lifter

Use Lander or O'Conner. Both intentionally underestimate, which produces safer programming percentages.

Experienced lifter testing accurately

Use Lombardi or Wathan. Both are calibrated on populations with high neuromuscular efficiency.

Validation research

LeSuer et al. (1997)

Mayhew, Wathan, and Brzycki produced the smallest error across bench, squat, and deadlift. Most formulas underestimated 1RM as reps increased.

LeSuer, D.A., McCormick, J.H., Mayhew, J.L., Wasserstein, R.L., & Arnold, M.D. (1997). The accuracy of prediction equations for estimating 1-RM performance in the bench press, squat, and deadlift. Journal of Strength and Conditioning Research, 11(4), 211-213.

Reynolds et al. (2006)

Standard error of estimate ranged from 5.6 to 7.9 kg across formulas; high reps (>10) reduced accuracy meaningfully.

Reynolds, J.M., Gordon, T.J., & Robergs, R.A. (2006). Prediction of one repetition maximum strength from multiple repetition maximum testing and anthropometry. Journal of Strength and Conditioning Research, 20(3), 584-592.

Wood et al. (2002)

In older adults, most formulas overestimated 1RM by 5-15%; conservative choices (Lander, O'Conner) outperformed.

Wood, T.M., Maddalozzo, G.F., & Harter, R.A. (2002). Accuracy of seven equations for predicting 1-RM performance of apparently healthy, sedentary older adults. Measurement in Physical Education and Exercise Science, 6(2), 67-94.

1RM Formula Comparison FAQ