# 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**: 226)

- 1973:
*A Search Procedure and Lower Bound for Odd Perfect Numbers*(*Math. Comp.***Vol. 27**: 943 – 949) www.jstor.org/stable/2005529

- 1983:
*Factorizations of $b^n \pm 1$ up to high powers*(*Contemporary Mathematics***Vol. 22**: 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**: 1 – 226) (with John Brillhart, D.H. Lehmer, John L. Selfridge and Samuel S. Wagstaff Jr.)