A primitive trinomial of degree 6972593

Richard P. Brent; Samuli Larvala; Paul Zimmermann

doi:10.1090/S0025-5718-04-01673-4

A primitive trinomial of degree 6972593

Richard P. Brent^*, Samuli Larvala, Paul Zimmermann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The only primitive trinomials of degree 6972593 over GF(2) are x ^6972593 + x^3037958 + 1 and its reciprocal.

Original language	English
Pages (from-to)	1001-1002
Number of pages	2
Journal	Mathematics of Computation
Volume	74
Issue number	250
DOIs	https://doi.org/10.1090/S0025-5718-04-01673-4
Publication status	Published - Apr 2005
Externally published	Yes

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title = "A primitive trinomial of degree 6972593",

abstract = "The only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x3037958 + 1 and its reciprocal.",

keywords = "Irreducible trinomials, Mersenne numbers, Primitive trinomials",

author = "Brent, {Richard P.} and Samuli Larvala and Paul Zimmermann",

year = "2005",

month = apr,

doi = "10.1090/S0025-5718-04-01673-4",

language = "English",

volume = "74",

pages = "1001--1002",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

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T1 - A primitive trinomial of degree 6972593

AU - Brent, Richard P.

AU - Larvala, Samuli

AU - Zimmermann, Paul

PY - 2005/4

Y1 - 2005/4

N2 - The only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x3037958 + 1 and its reciprocal.

AB - The only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x3037958 + 1 and its reciprocal.

KW - Irreducible trinomials

KW - Mersenne numbers

KW - Primitive trinomials

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U2 - 10.1090/S0025-5718-04-01673-4

DO - 10.1090/S0025-5718-04-01673-4

M3 - Article

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VL - 74

SP - 1001

EP - 1002

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 250

ER -

A primitive trinomial of degree 6972593

Abstract

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