# Mathematician:Derrick Henry Lehmer

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## Contents

## Mathematician

American mathematician active mainly in the field of number theory.

Most famous for designing the Lucas-Lehmer Test for determining the primality of Mersenne numbers.

The son of Derrick Norman Lehmer, and married to Emma Lehmer, née Trotskaia.

Factorised Jevons' number.

One of the victims of the McCarthy witch-hunt.

## Nationality

American

## History

- Born: February 23, 1905
- Died: May 22, 1991

## Theorems and Definitions

- Lucas-Lehmer Test (with Édouard Lucas)
- Lehmer-Schur Algorithm (with Issai Schur)

Results named for **Derrick Henry Lehmer** can be found here.

Definitions of concepts named for **Derrick Henry Lehmer** can be found here.

## Publications

- 1930:
*An Extended Theory of Lucas' Functions*(PhD thesis)

- 1933:
*Factorisation of certain cyclotomic functions*(*Ann. Math.***Ser. 2****Vol. 34**: 461 – 479) www.jstor.org/stable/1968172

- 1938:
*A Cotangent Analogue of Continued Fractions*(*Duke Math. J.***Vol. 4**: 323 – 340)

- 1941:
*On the first case of Fermat's Last Theorem*(with Emma Lehmer)

- Jul. 1947:
*Recent Mathematical Tables*(*Mathematical Tables and Other Aids to Computation***Vol. 2**,*no. 19*: 297 – 311) www.jstor.org/stable/2002589

- 1983:
*Factorizations of $b^n \pm 1$ up to high powers*(*Contemporary Mathematics***Vol. 22**: 1 – 178) (with John Brillhart, Samuel S. Wagstaff Jr., John L. Selfridge and Bryant Tuckerman)

- 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, Samuel S. Wagstaff Jr., John L. Selfridge and Bryant Tuckerman)

## Notable Quotes

*General rules for programming have been discovered. Most of them have been used in the Kansas City freight yards for a long time.*- -- Quoted at the end of Section 2.6 of 1968: Donald E. Knuth:
*The Art of Computer Programming: Volume 1: Fundamental Algorithms*

- -- Quoted at the end of Section 2.6 of 1968: Donald E. Knuth:

## Also known as

Known informally as **Dick Lehmer**.