Leonhard Euler IQ
Mathematician · 1707–1783
Quick Answer
Leonhard Euler's IQ is estimated at 160 to 180. No study gives him a documented number; the estimate rests on the largest output in mathematics.
Euler has no documented IQ estimate. His output, the largest of any mathematician, is the evidence, and 170+ is an editorial marker, not a score.
- Estimated IQ
- 170+
- Range
- 160–180
- Known for
- Most prolific mathematician in history
- Basis
- No documented estimate; editorial comparison from output
Evidence status: Very low confidence. No IQ test was ever given, and no Cox 1926 estimate appears in the tabulations we checked. Historical achievement cannot be converted into a precise modern test result. This page separates documented evidence from interpretation.
What was Leonhard Euler's IQ?
Nobody knows. Euler died in 1783, and no documented estimate appears in Cox's 1926 study tables. LifeScore uses 170+ as an editorial marker, with a range of 160 to 180, because his output, originality and mental calculation put him in the same tier as Gauss and Newton.
How did Euler keep working after going blind?
Euler lost the sight of one eye in his thirties and most of the other by the late 1760s. He kept working by doing calculations in his head and dictating to assistants and his sons. A large share of his published work comes from those final, almost sightless years.
How smart was Leonhard Euler?
The Basel problem
In 1734 he proved that 1 + 1/4 + 1/9 + 1/16 and so on adds up to π²/6, a problem that had beaten the best mathematicians of Europe.
Founding graph theory
His 1736 proof that no walk crosses each of the seven bridges of Königsberg exactly once is counted as the first result in graph theory.
Euler's formula
He showed that e^(ix) = cos x + i sin x, which links exponentials to trigonometry and gives e^(iπ) + 1 = 0.
The notation we use
He made f(x), e, i, π and Σ standard, so almost every maths student writes in his notation.
How Euler thought
Euler worked by calculating his way to insight. He tried huge numbers of special cases, spotted the pattern and then found the general proof, sometimes years later. Contemporaries said he calculated as other people breathe. That speed let him explore areas that others only glimpsed.
Evidence behind the Leonhard Euler IQ estimate
The estimate is a structured interpretation of the record, not a recovered test score. These are the strongest signals and the reasons for caution.
Evidence considered
- His collected works, the Opera Omnia, run to more than 70 volumes and are still being completed.
- He solved the Basel problem in 1734, showing that the sum of 1/n² equals π²/6.
- His 1736 solution to the Königsberg bridges problem is usually counted as the start of graph theory.
What the estimate cannot prove
- Volume of output reflects a long career and relentless habits as well as ability.
- No contemporary measure of reasoning speed exists beyond anecdotes.
- Popular lists that give him a number do not show a method.
Euler vs Gauss, Newton, Leibniz
How Leonhard Euler's estimate compares with related figures. Every number here is an estimate, and the basis differs from person to person.
| Figure | Estimate | Range |
|---|---|---|
| Leonhard Euler | 170+ | 160–180 |
| Carl Friedrich Gauss | 170+ | 160–180 |
| Isaac Newton | 160+ | 160–190 |
| Gottfried Leibniz | 170+ | 170–205 |
Take the Euler IQ test
Leonhard Euler's estimate is 170+. Our Einstein IQ test is a short visual reasoning challenge. See which side of that number you land on.
Take the Euler IQ testLeonhard Euler's IQ is represented here by a retrospective estimate of 170+, not a verified test result. Leonhard Euler is best known for exceptional mental calculation. The useful question is what the surviving evidence shows, not whether a precise modern score can be recovered.
Psychological Profile
Calm, prolific and almost unstoppable. Worked through near-total blindness by calculating in his head.
The dominant archetype here is The Logician. This archetype shapes decision patterns: what feels natural, what creates friction, and what blind spots tend to emerge.
Estimated IQ is 170+. This is a rough estimate based on documented accomplishments and contemporary accounts, not a literal measurement.
Key Behavioral Traits
He could run long calculations mentally, which is how he worked once blind.
His collected works run to more than 70 volumes and are still being edited.
According to Condorcet he could recite all of Virgil's Aeneid from memory.
One thing most people do not know
Pierre-Simon Laplace is said to have told students to "read Euler, read Euler, he is the master of us all."
Sources for this estimate
Follow the evidence yourself. These sources document the achievements and context used here; none is presented as a standardized IQ report.
- Leonhard Euler biographyMacTutor, University of St Andrews
Covers his career in Basel, St Petersburg and Berlin, his blindness and his output.
- Leonhard EulerEncyclopaedia Britannica
Summarises his contributions to analysis, number theory, mechanics and notation.
What do these scores mean?
See what an IQ of 160, 170, 180 means in percentiles, then browse every famous estimate in one table.
Think like Euler?
Leonhard Euler's estimate: 170+ (range 160 to 180). See where your own score falls.
Related famous IQs
- Carl Friedrich Gauss IQ170+
- Isaac Newton IQ160+
- Gottfried Leibniz IQ170+
- Nikola Tesla IQ160+
- Marie Curie IQ150
- Ada Lovelace IQ145
- Albert Einstein IQ160+
- Charles Darwin IQ140+
Same Archetype: The Logician
Explore psychological profiles of contemporary figures analyzed with similar methods.
Browse All ProfilesSigns of High IQ
Traits often discussed alongside high measured IQ:
Leonhard Euler: People Also Ask
Was Leonhard Euler a genius?+
Leonhard's record supports exceptional achievement, but "genius" is not established by an unverified IQ number. Their The Logician archetype, combined with Mental Calculation and Productivity, is a more useful interpretation of their output.
What personality type was Leonhard Euler?+
Leonhard fits the The Logician archetype. Key traits include Mental Calculation, Productivity, and Memory. This profile helps explain both their strengths and their documented failure modes.
What can we learn from Leonhard Euler?+
Leonhard's profile teaches that extreme strengths create extreme trade-offs. Their Mental Calculation and Productivity enabled success but also created recurring friction.
References & Sources
Cox, C. M. (1926). The Early Mental Traits of Three Hundred Geniuses. Stanford University Press.
Simonton, D. K. (2009). Genius 101. Springer Publishing Company.
Cattell, R. B. (1971). Abilities: Their Structure, Growth, and Action. Houghton Mifflin.