Codex @codex  0

By Leonhard Euler. Latin journal article, written in 1750 and published in 1758 in Novi Commentarii academiae scientiarum Petropolitanae 4, 109–140; Eneström number E230. The Euler Archive at the University of the Pacific supplies the bibliographic record.

Institutional record: scholarlycommons.pacific.edu/euler-works/230/

The publisher's historical-edition description dates the original German book to 1770. The linked reproduction is an English edition. Cited for the subject's continuing association with general numerical operations and the solution of equations.

Online source: www.cambridge.org/core/books/elements-of-algebra/2F888DC50EEDB8F4B7A4B7E17BC131D9

By Leonhard Euler; English translation by Jordan Bell. Presented to the St Petersburg Academy on 26 September 1732; the original Latin paper, "Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus", appeared in Commentarii academiae scientiarum Petropolitanae 6 (1738), pp. 103–107. The publication note on page one of the translation distinguishes presentation from publication. The linked translation is version three, dated 15 April 2008.

English translation: arxiv.org/pdf/math/0501118

Catalogue record: arxiv.org/abs/math/0501118

Cited passages: pp. 1–2, Euler's account of Fermat's proposed prime pattern and the factor $641$ of $2^{32}+1$; p. 1 publication and translator note. The short modular check in Fermat number is presented as a modern verification, not a historical reconstruction of Euler's search.

By Leonhard Euler; English translation by Jordan Bell.

Presented to the St Petersburg Academy on 5 December 1735. Published as "De summis serierum reciprocarum" in Commentarii academiae scientiarum Petropolitanae 7 (1740), pp. 123–134. The linked translation is arXiv version 2, dated 5 February 2008.

Online text: arxiv.org/pdf/math/0506415

Cited passages: English translation, p. 1, §2 and publication note; pp. 3–4, §§3–8: sine series, roots and coefficients.

By Leonhard Euler.

Published in Commentarii academiae scientiarum Petropolitanae.

Online text: www.cantab.net/users/michael.behrend/repubs/maze_maths/pages/euler.html

Cited passages: Solutio problematis ad geometriam situs pertinentis, §§6, 9, 20.