Mathematicians

* Maria Gaetana Agnesi: (Originally a languages prodigy)
* Jean-Philippe Baratier: Said to be well versed in math by age 8, published articles by age 10, joined the Academy at 14, and died before 20.[2]
* March Tian Boedihardjo: Nine-year-old studying math at Hong Kong Baptist University.[3]
* Juan Caramuel y Lobkowitz: He published astronomical tables at age 10.[4] Delivered a speech he translated into Latin at age 9.[5]
* Alexis Clairaut: He studied the work of Guillaume de L'Hôpital at 10 and presented a paper at 13.[6]
* Charles Fefferman: He is said to have mastered calculus by age 12. At age 22 he became the youngest full professor American higher education institute ever made.[7]
* Carl Friedrich Gauss: His potential was noted at seven, and in his teens he unknowingly discovered the already extant Titius-Bode law.[8]
* William Rowan Hamilton: (Originally a languages prodigy)[9][10]
* Anne-Marie Imafidon: Passed her A-Level at 11.[11]
* Ruth Lawrence: The youngest student to enter the University of Oxford at age 11.[12]
* Colin Maclaurin: Entered university at 11, a feat not particularly unusual at the time, but at 14 he defended a thesis concerning ideas at the forefront of contemporary human knowledge.[13]
* Blaise Pascal: At 11 or 12 he had secretly worked out the first twenty-three propositions of Euclid on his own.[14][15]
* Regiomontanus (Johannes Müller)-Studied dialectics at 11.[16]
* William James Sidis: Corrected E. V. Huntington's mathematics text galleys at age of eight and entered Harvard at 11 where he gave his self-conceived lecture on four dimensional geometry.[17]
* Ernst G. Straus: At age 5 he worked out the formula for the sum of an arithmetic progression.[18]
* Safea Ah: At age seven, she was calculating products of numbers with 8 digits. It is believed that Safea is the pseudonym of another person.[19]
* Terence Tao: At eight he was attending Year 11 classes and scored a 760 on the SAT math section.[20]
* Norbert Wiener: He entered Tufts at 11.[21]
* Adi Putra Abdul Ghani: At 11,he entered UNISEL (Industrial University of Selangor) Malaysia for Degree in mathematic studies.[22]

Mental calculators

Note: Several mathematicians were mental calculators when they were still children. This section is for child prodigies largely or primarily known for calculating skills. It should be noted that mental calculators are sometimes more like savants than they are like child prodigies. They have skills that rarely exist in adults and they may not be truly "mature" in mathematical understanding.

* Zerah Colburn: At the age of nine he was able to multiply six digit numbers in his head.
* Shakuntala Devi: Her abilities were first recognized at age 3.[23]
* Brian Greene:(As an adult he is an important physicist)[24]
* John Von Neumann: A "mental calculator" by age 6 who could tell jokes in classical Greek.[25][26]
* Truman Henry Safford: At ten years old he could square 18 digit numbers, later in life he was an astronomer.[27]
* Daniel Tammet: a British autistic mental calculator who can[28] explain his abilities, recounted pi to its 22,514th digit from memory.

Computer science and engineering

Engineering

* Alia Sabur: 15 year old Doctoral candidate at Drexel University[29]

Computer Science

* Arfa Karim Randhawa : A 10 year old Pakistani girl from Faislabad who achieved the Microsoft professional certification at the age of 9.She also had the honor of having a personal meeting with Bill Gates and is a promising software and OS designer.The young prodigy expects to join Harvard or MIT when she comes of age.[30]

Physics

* Kim Ung-Yong: Attended university physics courses at age 4, Ph.D in physics before age 15.[31]
* Song Yoo-geun: Physics prodigy who entered university at age 8.[32]
* Tathagat Avatar Tulsi: Undergraduate degree at age 10[33]
* Denis Krasnov ( Russian: Денис Владимирович Краснов): Prodigy from former USSR. Accepted to school at the age of 5 and at Moscow Engineering Physics Institute at the age of 13.[34]

Mechanical engineering

* Karl Benz: at the age of nine he started at the scientifically oriented Lyzeum, went on to study at the Poly-Technical University under the instruction of Ferdinand Redtenbacher, and at age fifteen he passed the entrance exam for mechanical engineering at the University of Karlsruhe

Medicine

* Balamurali Ambati: He graduated from High School at 11, was a college junior by age 12, and a doctor at 17.[35]
* Maximiliano Arellano: Spoke at a medical university at age 7.
* Avicenna: Memorized the Quran at age ten, studying medicine at 13.[36]
* Sho Yano: He started college at age 9 and graduated summa cum laude at age 12 from Loyola University Chicago. At 15 he attends the Pritzker School of Medicine[37]
* Akrit Jaswal: India's youngest university student. He carried out an operation aged 7.[38][39][40]

Biology and psychology