Euclid's proof of the infinitude of primes: distorted, clarified, made obsolete, and confirmed in modern mathematics

DOI10.1007/s00283-014-9506-9zbMath1350.11004OpenAlexW2023129497MaRDI QIDQ2341296

Reinhard Siegmund-Schultze

Publication date: 23 April 2015

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11250/275612

zbMATH Keywords

Euclidinfinitude of primes

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of number theory (11-03) History of mathematics in the 19th century (01A55) Primes (11A41) History of Greek and Roman mathematics (01A20)

Cites Work

• On the need to rewrite the history of Greek mathematics
• Prime simplicity
• A note on the congruence $$\left( {_{mp^k }^{np^k } } \right) \equiv \left( {_m^n } \right)$$ (mod p r )
• Problems in the interpretation of greek number theory: Euclid and the ‘fundamental theorem of arithmetic’
• ‘Much necessary for all sortes of men’: 450 years of Euclid'sElementsin English
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