The Father of the Carmichael Numbers.
On this day in 1879, the American mathematician Robert Daniel Carmichael was born in Goodwater, Alabama. He was the eldest son of a total of 10 children from his parents' marriage. Following a brief period of attendance at Lineville College, he embarked on a rigorous academic pursuit, seeking a doctorate at Princeton University. Concurrently, he pursued his undergraduate studies at Lineville College, eventually obtaining his Bachelor of Arts degree in 1898. His relentless pursuit of academic excellence led him to Princeton University, where he would eventually earn his doctorate in 1911.
Robert Daniel Carmichael was a pioneer in the area of number theory, making significant contributions to the field. In addition to number theory he was also an outstanding mathematician in the following areas:
- Differential Equations.
- Group Theory
- Theory of Relativity
- Mathematical Philosophy.
The work for which he is best known is the discovery of certain properties of some integers that allow that those integers can pass a primality test without the integers needing to be primes. These pseudo prime numbers are known as Carmichael numbers.
He was a long-time professor at Alabama Presbyterian College, as well as at Indiana University and the University of Illinois, becoming dean of the latter institution for 15 years in the graduate mathematics department. Another of his very prominent positions was that of President of the American Mathematical Association and Editor-in-Chief of the journal The American Mathematical Monthly, where he achieved to publish more than 170 publications related to the solutions of mathematical problems and 13 papers published between the Annals of Mathematics and the Bulletin of the American Mathematical Society.
Professor Robert Carmichael passed away in the city of Merriam - Kansas in 1967, on the 2nd of May.
Some of his Greatest Contributions
Note: All the images related to Robert Daniel Carmichael Contributions are crafted by me using the text editor based on LaTeX: Beamer.
References
Weisstein, Eric W. "Carmichael's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CarmichaelsTheorem.html
Paulo Ribenboim, The new book of prime number records, Springer-Verlag (1996) ISBN 0-387-94457-5, p. 120.
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