Leonhard Euler IQ

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's IQ is 170+. What's yours?

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Portrait of Leonhard Euler

Key facts

Estimated IQ
IQ 170+
Range
IQ 160 to IQ 180
Known for
Most prolific mathematician in history
Lived
Mathematician, 1707–1783
Basis
No documented estimate; editorial comparison from output
Confidence
Very low. No IQ test was ever given, and no Cox 1926 estimate appears in the tabulations we checked.

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.

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?

  1. 01

    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.
  2. 02

    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.
  3. 03

    Euler's formula

    He showed that e^(ix) = cos x + i sin x, which links exponentials to trigonometry and gives e^(iπ) + 1 = 0.
  4. 04

    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.

The evidence behind the estimate

An estimate built from the historical record, not a recovered test score.

What supports it

  • 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 it 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 compared with Gauss, Newton, Leibniz

FigureEstimateRange
Leonhard Euler170+160–180
Carl Friedrich Gauss170+160–180
Isaac Newton160+160–190
Gottfried Leibniz170+170–205

Psychological profile

Leonhard 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.

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 traits

  1. Mental Calculation

    He could run long calculations mentally, which is how he worked once blind.

  2. Productivity

    His collected works run to more than 70 volumes and are still being edited.

  3. Memory

    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."

Leonhard Euler: common questions

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.

Euler's IQ is 170+. What's yours?

Euler's estimate comes from the historical record. Yours can come from a real test: 25 visual reasoning questions.

Take the IQ test

25 questions · about 12 minutes

Sources

  1. Leonhard Euler biography, MacTutor, University of St Andrews. Covers his career in Basel, St Petersburg and Berlin, his blindness and his output.
  2. Leonhard Euler, Encyclopaedia Britannica. Summarises his contributions to analysis, number theory, mechanics and notation.
  3. Cox, C. M. (1926). The Early Mental Traits of Three Hundred Geniuses. Stanford University Press.
  4. Simonton, D. K. (2009). Genius 101. Springer.
  5. Cattell, R. B. (1971). Abilities: Their Structure, Growth, and Action. Houghton Mifflin.
  6. Portrait: Jakob Emanuel Handmann · Public domain · Wikimedia Commons

Last reviewed September 2026. How we estimate historical IQ