Arthur Wieferich
Encyclopedia
Arthur Josef Alwin Wieferich (April 27, 1884 – September 15, 1954) was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 and teacher, remembered for his work on number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...

.

He was born in Münster
Münster
Münster is an independent city in North Rhine-Westphalia, Germany. It is located in the northern part of the state and is considered to be the cultural centre of the Westphalia region. It is also capital of the local government region Münsterland...

, attended the University of Münster
University of Münster
The University of Münster is a public university located in the city of Münster, North Rhine-Westphalia in Germany. The WWU is part of the Deutsche Forschungsgemeinschaft, a society of Germany's leading research universities...

 (1903–1909) and then worked widely as a school teacher and tutor until his retirement in 1949. He married in 1916 and had no children.

Wieferich abandoned his studies after his graduation and did not publish any paper after 1909. His mathematical reputation is founded on five papers he published while a student at Münster:
|journal=Mathematische Annalen
Mathematische Annalen
Mathematische Annalen is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann...

 |volume=66 |issue=1 |pages=95–101 |year=1908 |doi=10.1007/BF01450913 }}. |journal=Mathematische Annalen |volume=66 |issue=1 |pages=106–108 |year=1908 |doi=10.1007/BF01450915 }}. |journal=Mathematische Annalen |volume=67 |issue=1 |pages=61–75 |year=1909 |doi=10.1007/BF01451870 }}. |journal=Journal für die reine und angewandte Mathematik |volume=136 |issue=3/4 |pages=293–302 |year=1909 |doi=10.1515/crll.1909.136.293 }}. |journal=Journal für die reine und angewandte Mathematik |volume=136 |issue=3/4 |pages=303–305 |year=1909 |doi=10.1515/crll.1909.136.303 }}.

His fourth paper led to the term Wieferich prime
Wieferich prime
In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem, which states that every odd prime p divides 2p − 1 − 1...

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External links

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