One Rep Max Calculator (Brzycki Formula)

Estimate your one rep max using the Brzycki formula. More conservative than Epley at higher reps. Enter weight and reps for your 1RM prediction.

About the One Rep Max Calculator (Brzycki Formula)

The Brzycki formula, developed by Matt Brzycki in 1993, is one of the most cited alternatives to the Epley equation for estimating one rep max. Published in the Journal of Health, Physical Education, Recreation and Dance, it's known for producing slightly more conservative estimates, especially at higher rep ranges.

The key difference from Epley is that the Brzycki formula uses a different mathematical relationship that predicts failure at 37 reps with zero weight — a theoretical limit that gives it a more conservative curve above 10 reps. For 1–6 reps, both formulas produce nearly identical results.

This calculator applies the Brzycki formula, shows the percentage breakdown chart, and compares the result to the Epley estimate so you can see the difference. Whether you are a beginner or experienced professional, this free online tool provides instant, reliable results without manual computation. By automating the calculation, you save time and reduce the risk of costly errors in your planning and decision-making process.

Why Use This One Rep Max Calculator (Brzycki Formula)?

The Brzycki formula provides a more conservative 1RM estimate than Epley, especially above 10 reps. Many strength coaches prefer it for this reason, as underestimating your max is safer than overestimating when selecting training weights. Having a precise figure at your fingertips empowers better planning and more confident decisions. Manual calculations are error-prone and time-consuming; this tool delivers verified results in seconds so you can focus on strategy.

How to Use This Calculator

  1. Complete a set of an exercise to near failure (2–10 reps recommended).
  2. Enter the weight used for the set.
  3. Enter the number of reps completed with proper form.
  4. View your estimated 1RM from the Brzycki formula.
  5. Compare with the Epley estimate shown alongside.
  6. Use the percentage chart for training programming.

Formula

Brzycki Formula: 1RM = weight × (36 / (37 − reps)) Example: 225 lbs × (36 / (37 − 5)) = 225 × (36/32) = 225 × 1.125 = 253.1 lbs Note: The formula is undefined at 37 reps (division by zero) and produces negative values above 37 reps. Practical range: 1–12 reps.

Example Calculation

Result: Estimated 1RM (Brzycki): 253.1 lbs | Epley comparison: 262.5 lbs | Difference: −9.4 lbs

Using 225 lbs for 5 reps: Brzycki gives 225 × (36/(37−5)) = 225 × 1.125 = 253.1 lbs. Epley gives 262.5 lbs — a 9.4 lb difference. At 5 reps, this gap is small (3.6%), but it widens with more reps. For training, the conservative Brzycki estimate is often preferred as it reduces injury risk from overloading.

Tips & Best Practices

The Mathematics Behind Brzycki

The Brzycki equation (weight × 36/(37 − reps)) creates a hyperbolic curve that approaches infinity as reps approach 37. This means each additional rep increases the predicted 1RM by an increasingly large amount, which is why the formula becomes unreliable at high reps. In contrast, Epley's linear formula (weight × (1 + reps/30)) increases the prediction at a constant rate per rep.

Brzycki in Practice

Many collegiate strength programs use Brzycki as their primary 1RM estimation method. Its conservative nature means that when athletes arrive at their programmed heavy singles and doubles, the weights feel achievable rather than overwhelming. This psychological factor — feeling confident under heavy weight — is underrated in training success.

Combining Formulas for Better Accuracy

Sports scientists recommend using the average of 2–3 formulas (Epley, Brzycki, Lombardi) for the most reliable 1RM estimate. This approach smooths out the mathematical biases inherent in any single formula and has been shown to fall closer to actual 1RM in validation studies.

Frequently Asked Questions

How does Brzycki compare to Epley?

At 1–4 reps, both formulas give nearly identical results (within 1–2%). At 5–8 reps, Brzycki is 2–5% lower. At 10+ reps, Brzycki becomes significantly more conservative (5–10% lower). Neither is definitively "better" — true accuracy depends on individual physiology. Using the average of both formulas is a common practical approach.

Why does Brzycki use 36/(37−reps)?

The numbers 36 and 37 come from Brzycki's regression analysis of strength testing data. The formula implies a theoretical maximum of 36 reps with zero weight (or equivalently, the 37th rep is impossible). This mathematical structure gives the formula its conservative curve at higher rep ranges.

Is Brzycki more accurate than Epley for powerlifters?

For competition-trained powerlifters who frequently work in the 1–5 rep range, both formulas are equally accurate because the predictions converge at low reps. However, Brzycki's conservative bias makes it slightly preferred for setting training weights, as it's better to be slightly under your max than over when programming heavy singles and doubles.

Can I use this for bodyweight exercises?

You can use it for weighted bodyweight exercises by entering the total resistance (bodyweight + added weight). For unweighted exercises like push-ups or pull-ups, the formula is less applicable because the resistance is fixed and fatigue patterns differ from barbell exercises.

Should I round the result to the nearest plate?

Yes, in practice you should round to the nearest loadable increment. Most gyms have 2.5 lb or 5 lb plates as the smallest, so round to the nearest 5 lbs. For training percentages, always round down rather than up for safety.

How often should I retest?

Every 4–8 weeks during a progressive program. Many lifters retest at the start of each training block or mesocycle. If your programming uses auto-regulation (RPE-based), you may need to retest less often since the training weights self-adjust based on daily readiness.

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