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Pioneers of Number Theory

Number Theory

A historical exploration of foundational discoveries, significant theorems, and key figures in number theory.

mathematics history science

15 Questions Hard Ages 15+ Apr 17, 2026

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About this Study Set

This study set covers Number Theory through 15 practice questions. A historical exploration of foundational discoveries, significant theorems, and key figures in number theory. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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1 Who is credited with the first recorded proof that the square root of two is irrational?

A The Pythagorean school
B Archimedes of Syracuse
C Euclid of Alexandria
D Diophantus of Alexandria

2 Which mathematician first formulated the Prime Number Theorem in a conjecture in 1792?

A Leonhard Euler
B Carl Friedrich Gauss
C Pierre de Fermat
D Bernhard Riemann

3 The 'Chinese Remainder Theorem' first appeared in the work 'Sunzi Suanjing'. During which dynasty was this text likely composed?

A Han Dynasty
B Tang Dynasty
C Song Dynasty
D Ming Dynasty

4 Who was the first mathematician to prove that every positive integer can be represented as a sum of at most four integer squares?

A Joseph-Louis Lagrange
B Adrien-Marie Legendre
C Isaac Newton
D Blaise Pascal

5 In 1736, who solved the 'Seven Bridges of Königsberg' problem, laying the groundwork for graph theory?

A Gottfried Wilhelm Leibniz
B Leonhard Euler
C Jean le Rond d'Alembert
D Daniel Bernoulli

6 The first known description of the 'Sieve of Eratosthenes' for finding prime numbers is attributed to which scholar?

A Hypatia
B Apollonius of Perga
C Eratosthenes of Cyrene
D Ptolemy

7 Which mathematician first introduced the concept of modular arithmetic in his 1801 treatise 'Disquisitiones Arithmeticae'?

A Carl Friedrich Gauss
B Augustin-Louis Cauchy
C Évariste Galois
D Niels Henrik Abel

8 Who was the first to provide a rigorous proof for the Law of Quadratic Reciprocity?

A Sophie Germain
B Carl Friedrich Gauss
C Joseph-Louis Lagrange
D Pierre-Simon Laplace

9 Which 17th-century mathematician first proposed the 'Last Theorem' that remained unproven for over 350 years?

A René Descartes
B Pierre de Fermat
C Marin Mersenne
D Blaise Pascal

10 Who first defined the prime counting function, now denoted as π(x)?

A Bernhard Riemann
B Adrien-Marie Legendre
C Carl Friedrich Gauss
D Leonhard Euler

11 Which mathematician discovered the first 'amicable numbers' pair (220 and 284) according to ancient tradition?

A Pythagoras
B Thales of Miletus
C Euclid
D Archimedes

12 The 'Pell's Equation' is a misnomer; who was the Indian mathematician that first developed a general solution method (the chakravala method) for it?

A Aryabhata
B Brahmagupta
C Bhaskara II
D Srinivasa Ramanujan

13 Who first published the proof for the Prime Number Theorem in 1896, independently of one another?

A Hadamard and de la Vallée Poussin
B Riemann and Hilbert
C Poincaré and Klein
D Hardy and Littlewood

14 The 'Partition Function' was first studied extensively by which mathematician in the 18th century?

A Leonhard Euler
B Joseph Fourier
C Carl Jacobi
D Augustus De Morgan

15 Which mathematician was the first to prove the existence of transcendental numbers, specifically Liouville numbers?

A Charles Hermite
B Ferdinand von Lindemann
C Joseph Liouville
D Georg Cantor

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