Mathematician:Richard Peirce Brent

Mathematician

Australian mathematician and computer scientist, whose research interests include number theory (in particular factorisation), random number generators, computer architecture, and analysis of algorithms.

Nationality

Australia

History

• Born: 20 April 1946, Melbourne

Theorems and Definitions

• Prime Decomposition of 8th Fermat Number‎ (with John Michael Pollard)
• Prime Decomposition of 10th Fermat Number‎

Publications

• 1973: Algorithms for Minimization without Derivatives

• 1976: Tables Concerning Irregularities in the Distribution of Primes and Twin Primes to $10^{11}$

• 1977: Computation of the Regular Continued Fraction for Euler's Constant (Math. Comp. Vol. 31: pp. 771 – 777)  www.jstor.org/stable/2006010

• 1979: On the Zeros of the Riemann Zeta Function in the Critical Strip (Math. Comp. Vol. 33: pp. 1361 – 1372)  www.jstor.org/stable/2006473

• 1980: Some New Algorithms for High-Precision Computation of Euler's Constant (Math. Comp. Vol. 34: pp. 305 – 312) (with Edwin M. McMillan)  www.jstor.org/stable/2006237

• 1981: Factorization of the Eighth Fermat Number (Math. Comp. Vol. 36: pp. 627 – 630) (with John M. Pollard)  www.jstor.org/stable/2007666

• 1989: A New Bound for Odd Perfect Numbers (Math. Comp. Vol. 53: pp. 431 – 437) (with Graeme L. Cohen)  www.jstor.org/stable/2008375

• 1989: Supplement to A New Lower Bound for Odd Perfect Numbers (Math. Comp. Vol. 53: pp. S7 – S24) (with Graeme L. Cohen)  www.jstor.org/stable/2008385

• 1991: Improved Techniques for Lower Bounds for Odd Perfect Numbers (Math. Comp. Vol. 57: pp. 857 – 868) (with G.L. Cohen and H.J.J. te Riele)  www.jstor.org/stable/2938723

• 1999: Factorization of the Tenth Fermat Number (Math. Comp. Vol. 68: pp. 429 – 451)  www.jstor.org/stable/2585124

• 2005: A primitive trinomial of degree 6972593 (Math. Comp. Vol. 74: pp. 1001 – 1002) (with Samuli Larvala and Paul Zimmermann)  www.jstor.org/stable/4100101

• 2011: The great trinomial hunt (Notices of the American Mathematical Society Vol. 58: pp. 233 – 239) (with Paul Zimmermann)