Mathematician:Bryant Tuckerman
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Mathematician
American mathematician who discovered, on March $4$th, $1971$, the $24$th Mersenne prime: $2^{19 \, 937} - 1$.
Nationality
American
History
- Born: November 28, 1915
- Died: May 19, 2002
Theorems and Inventions
- The Tuckerman Traverse: a method for revealing all the faces of a flexagon.
- A member of the team that designed the Data Encryption Standard (DES).
- Published a proof in $1968$ that an odd perfect number has to be greater than $10^{36}$.
Publications
- 1968: Odd Perfect Numbers: A Search Procedure, and a New Lower Bound of $10^{36}$ (Not. Amer. Math. Soc. Vol. 15: p. 226)
- 1973: A Search Procedure and Lower Bound for Odd Perfect Numbers (Math. Comp. Vol. 27: pp. 943 – 949) www.jstor.org/stable/2005529
- 1983: Factorizations of $b^n \pm 1$ up to high powers (Contemporary Mathematics Vol. 22: pp. 1 – 178) (with John Brillhart, D.H. Lehmer, John L. Selfridge and Samuel S. Wagstaff Jr.)
- 1988: Factorizations of $b^n \pm 1, b = 2, 3, 5, 6, 7, 10, 11, 12$ up to high powers (2nd ed.) (Contemporary Mathematics Vol. 22: pp. 1 – 226) (with John Brillhart, D.H. Lehmer, John L. Selfridge and Samuel S. Wagstaff Jr.)