What was Carl Friedrich Gauss’ IQ?
Gauss has no IQ score: he died in 1855, fifty years before the first intelligence scale, and the 250–300 figures cite no study.
Carl Friedrich Gauss has no IQ score: he died in 1855, fifty years before the first intelligence scale. The 250–300 figures on “highest IQ” lists cite no test, study or method, and our Gauss IQ estimate from his record is 170–190. He is also not one of the subjects of Catharine Cox’s 1926 study, so no Cox rating exists.
Carl Friedrich Gauss’ estimated IQ
- In 1796, as a student, he determined which regular polygons can be constructed with compass and straightedge, including the 17-gon, the biggest advance in the field since Greek mathematics (MacTutor; his mathematical diary runs from 1796 to 1814, per Wikipedia).
- A degree from the University of Helmstedt in 1799 for a dissertation on the fundamental theorem of algebra, followed in the summer of 1801 by Disquisitiones Arithmeticae and the orbit calculation that helped astronomers find Ceres again (MacTutor).
- Director of the Göttingen observatory from 1807 until his death, with a geodesic survey of Hanover from 1818 and, from 1831, work on magnetism with Wilhelm Weber (MacTutor).
Gauss is not among the 301 subjects of Catharine Cox’s 1926 study, so no Cox rating can anchor this range as it does for other pre-1850 figures on this site; we searched the full text of her volume II and her Table 12A, where Gassendi is followed by Gay-Lussac. This range reflects the documented record, not a scored estimate against peers.
- Born
- April 30, 1777, Brunswick
- Died
- February 23, 1855, Göttingen
- Field
- Mathematics, astronomy, physics
- Education
- Collegium Carolinum (1792); University of Göttingen (1795–1798); doctoral degree, University of Helmstedt, 1799
- Known for
- Disquisitiones Arithmeticae, the Ceres orbit calculation, the normal distribution
- Cox 1926 study
- Not among its 301 subjects, although born inside its 1450–1850 window
- Canonical IQ
- Predates IQ testing by 50 years; no figure applies
What an IQ of 170–190 actually means
Set the claim aside for a moment. If someone genuinely scored in this range, here is what that would represent.
Average is 100 by construction, and about two-thirds of people fall between 85 and 115. Take the test to place your own score on this scale.
| Score range | Classification | Share of people | What it indicates |
|---|---|---|---|
| 85 – 114 | Average | ~68% | The range most people fall into. |
| 115 – 129 | Above average | ~13.6% | Roughly one person in seven. |
| 130 – 144 | Gifted | ~2% | The threshold most high-IQ societies use. |
| Above 144 | Highly gifted | ~0.1% | Figures above this range are extrapolated from the curve rather than measured. |
Percentages are approximate and describe a normal distribution. The same number means different things on tests with different standard deviations.
Thirty questions gives you a measured position on this exact scale — your score, your percentile and the ability breakdown behind it.
Find out in 30 minutes →Who Carl Friedrich Gauss was
Carl Friedrich Gauss was born on April 30, 1777, in Brunswick, in what is now Germany, to a family of modest means. A stipend from the Duke of Brunswick sent him to the Collegium Carolinum in 1792 and then to the University of Göttingen in 1795. He left in 1798 without a diploma, and the University of Helmstedt gave him a doctoral degree in 1799 for a dissertation on the fundamental theorem of algebra (MacTutor).
In the summer of 1801 he published Disquisitiones Arithmeticae, a foundational text in number theory. That year he also calculated the orbit that let astronomers find the new small planet Ceres again after it had disappeared behind the Sun, the achievement that made him famous outside mathematics. In 1807 he left Brunswick to become director of the Göttingen observatory, and he stayed in Göttingen for the rest of his life.
Later work spanned a geodesic survey of the Kingdom of Hanover, begun in 1818, for which he invented the heliotrope, and a collaboration with physicist Wilhelm Weber on magnetism after Weber arrived in Göttingen in 1831. He died there on February 23, 1855, still active in research.
By Elora Mercer, Celebrity Research WriterFigures checked by Leon Falkner, Data & Research AnalystReviewed by Aarav Vardhan, Editor-in-Chief · Last reviewed November 2026
Carl Friedrich Gauss: the documented record
The estimate above rests on this record. Every entry here is a matter of public fact, which is more than can be said for the number itself.
- 1777Born on April 30 in Brunswick.
- 1792Enters the Collegium Carolinum on the Duke of Brunswick’s stipend.
- 1796As a student, determines which regular polygons can be constructed with compass and straightedge; starts his mathematical diary.
- 1799Receives a doctoral degree from the University of Helmstedt.
- 1801Publishes Disquisitiones Arithmeticae; calculates the orbit that relocates Ceres.
- 1807Becomes director of the Göttingen observatory.
- 1818Begins the geodesic survey of the Kingdom of Hanover.
- 1831Begins his collaboration with Wilhelm Weber on magnetism.
- 1855Dies in Göttingen on February 23.
- 1905The Binet-Simon scale, the first usable intelligence test, appears, fifty years after his death.
Where the 250–300 figure came from
Following a claim back to its first appearance is the part almost nobody does — and it is what most people are actually asking.
Gauss is a useful case for what this site is trying to do, because the inflation here is not really about a number — it is about a story. The most repeated Gauss anecdote is that his primary-school teacher, hoping to occupy the class, assigned the sum of 1 to 100, and Gauss produced the answer almost instantly by pairing terms.
The near-contemporary source for this — Sartorius von Waltershausen’s 1856 memoir, written the year after Gauss died — says only that he was given “the summation of an arithmetic series” and solved it at once. No numbers, no pairing method, no dialogue.
Every vivid detail usually repeated — the specific numbers 1 to 100, the pairing trick, the phrase “Ligget se” — was added by later writers between 1877 and 1955.
E. T. Bell’s popular 1937 book Men of Mathematics, the version many people actually encountered, invents an entirely different and more complicated sum and is flagged by historians of mathematics as unreliable precisely for this kind of embellishment. The core fact — a child solved a problem his teacher expected to take an hour — is credible. Its famous specifics are not verifiable.
Is Gauss in Catharine Cox’s 1926 study? No. Cox built her main group of 282 from James McKeen Cattell’s list of 1,000 eminent men by dropping nobility, people born before 1450 and every name beyond the 510th, then added 19 more from beyond the 510th (The Early Mental Traits of Three Hundred Geniuses, pp. 31–32).
Gauss was born in 1777, inside her 1450–1850 window, yet neither group contains him: her fold-out Table 12A runs from Gassendi straight to Gay-Lussac, and a full-text search of the volume finds no mention of him. So any page that quotes a “Cox IQ” for him is not quoting Cox. Compare Leonhard Euler and Isaac Newton, whose pages say where their numbers come from, and see philosophers ranked by IQ for those who do have Cox ratings.
Compare Srinivasa Ramanujan, another mathematician whose legend outran the documentary record, and Isaac Newton, who sits at a similar range here for the same reason: an achievement record strong enough that no invented number was ever needed to make the case.
What does a score near 200 mean, and why can no test reach 250? On a scale with a mean of 100 and a standard deviation of 15, 250 would be 10 standard deviations out, a rarity no norming sample could ever contain; see what an IQ of 200 means. Other mathematicians whose legends outran their records include John von Neumann, Terence Tao and Emmy Noether, and Cox’s 1926 estimates for the founding fathers show what a real retrospective rating looks like.
How we read a number →Born April 30, 1777, in Brunswick; died February 23, 1855, in Göttingen; the Collegium Carolinum in 1792; Göttingen 1795 to 1798 without a diploma; the 17-gon; the 1799 degree and the Helmstedt dissertation on the fundamental theorem of algebra; Disquisitiones Arithmeticae in 1801; Ceres; the 1807 observatory directorship; the 1818 Hanover survey and the heliotrope; Weber in 1831.
Traces the summation anecdote through its successive embellishments, 1877–1955.
Selection of subjects, pp. 31–32 (Group A of 282 from Cattell’s list, Group B of 19). Contains no case study of Gauss and no mention of him; the fold-out Table 12A, read on a second scan (geneticstudiesof0002cath_c2h2), runs from Gassendi to Gay-Lussac.
Near-contemporary memoir by a Göttingen colleague; source of the summation anecdote in its original, numberless form (as reported by Hayes).
Dates his determination of which regular polygons are constructible to 1796 and describes the mathematical diary, which runs from 1796 to 1814.
No source has ever been traced for this figure.
Vedantu prints “Carl Friedrich Gauss 250–300” and Briefly prints “250 to 300 IQ score” for Carl Gauss. Neither cites a test, a study or a method.
Gauss died in 1855, 50 years before the Binet-Simon scale, and neither the full text of Cox’s volume II nor MacTutor’s biography contains an IQ for him.
The sources behind our estimate
The figures that circulate for Carl Friedrich Gauss, what we were able to confirm, and where the two diverge.
Figures of 250 to 300 circulate on “highest IQ in history” lists. Vedantu’s “list of people with highest IQs” prints “Carl Friedrich Gauss 250–300,” and Briefly.co.za’s “Top 35 smartest people of all time” gives “250 to 300 IQ score.”
Gauss died in 1855; the first usable IQ test, the Binet-Simon scale, dates to 1905. No number was ever measured. Catharine Cox’s 1926 study, the one major attempt to rate historical geniuses retrospectively, covers 301 subjects born between 1450 and 1850 and has no case study of Gauss, who was born in 1777 (we searched its full text and Table 12A). Neither list cites a study, a method or a source for its number.
One end of this spread is what the documented record supports. The other end is what “highest IQ ever” lists need a name to hold.
Want a number that does hold up? Every figure on this page is somebody’s claim. Take the 30-question test and get a percentile you can check rather than a figure you have to trust.
Carl Friedrich Gauss — frequently asked
What was Carl Friedrich Gauss’s IQ?
Carl Friedrich Gauss has no IQ score: he died in 1855, fifty years before the first intelligence scale. He is also not one of the 301 subjects of Catharine Cox’s 1926 study. Our own estimate from his record is 170–190, and the 250–300 on “highest IQ” lists has no source.
What is Gauss’s IQ score?
There is no score. The first usable intelligence test, the Binet-Simon scale, appeared in 1905, 50 years after Gauss died in 1855, and no test result, school mark or contemporary measurement has been published for him.
Was Gauss’s IQ 250 or higher?
No test or study supports 250 or 300. Lists such as Vedantu’s and Briefly.co.za’s print “250–300” for Carl Gauss without citing a test, study or method. A score of 250 would be 10 standard deviations above the mean, beyond what any test’s norming sample could contain.
Where does the “250–300” figure for Gauss come from?
No traceable source. It appears on “highest IQ in history” lists with no study, test or method cited, and Cox’s 1926 study, which rates other historical geniuses, has no entry for him.
Is Gauss in Catharine Cox’s study of 300 geniuses?
No. Gauss was born in 1777, inside Cox’s 1450–1850 window, but he is not among her 301 subjects. We searched the full text of volume II and her fold-out Table 12A, which runs from Gassendi to Gay-Lussac. Any “Cox IQ” quoted for him is not from Cox.
Did young Gauss really sum 1 to 100 instantly?
The core event is credible — a near-contemporary 1856 memoir says he solved a summation problem his teacher expected to take an hour. The famous specifics (the numbers, the pairing trick, the exact dialogue) were added by writers between 1877 and 1955, most notably a popular 1937 account now considered unreliable.
What is Gauss actually known for?
Foundational work in number theory (Disquisitiones Arithmeticae, 1801), the orbit calculation that relocated Ceres, the construction of the 17-gon, nearly five decades directing the Göttingen observatory from 1807, and, with Wilhelm Weber, early work on magnetism.
How does Gauss compare to other historical figures on this site?
Similar in kind to Isaac Newton, Leonhard Euler and Srinivasa Ramanujan: achievement records strong enough that no invented number should have been necessary, even though one exists anyway.
How does my IQ compare with Carl Friedrich Gauss?
You can find out in about fifteen minutes. The IQ Metrics assessment is 30 questions, scored on the same 100-mean scale used throughout this page, so your result and the estimate above are at least expressed in the same units — one measured, one inferred. Once you have a number, the leaderboard shows where it would sit, and how we score and norm it explains the benchmarking.
Where does this estimate come from?
From the documented record rather than a test — the method is named above and set out in full under how we read a number. Compare it against the other historical profiles, starting with Isaac Newton.
- Take the 30-question IQ test — get a measured score and percentile of your own
- Average IQ by country — how the scale behaves across populations
- How IQ Metrics scores its assessment — the method behind our own number
- More on how IQ testing works — reliability, error and what a score can and cannot say
- More historical profiles — same field, same method
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Portrait by Jacques-Louis David (1812), via Wikimedia Commons, public domain. · Photograph by Marie-Lan Nguyen, public domain. Background removed for the portrait above. · Photograph by John Jabez Edwin Mayall (1875), public domain. Background removed for the portrait above.
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