# Mathematician:Derrick Henry Lehmer

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## 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.

One of the victims of the McCarthy witch-hunt.

## Nationality

American

## History

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

## Theorems and Definitions

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**: pp. 461 – 479) www.jstor.org/stable/1968172

- 1938:
*A Cotangent Analogue of Continued Fractions*(*Duke Math. J.***Vol. 4**: pp. 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*: pp. 297 – 311) www.jstor.org/stable/2002589

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

- 1985:
*Interesting Series Involving the Central Binomial Coefficient*(*Amer. Math. Monthly***Vol. 92**: pp. 449 – 457) www.jstor.org/stable/2322496

- 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, 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**.