# Montgomery, Peter L.

Overview
Works: 6 works in 9 publications in 1 language and 15 library holdings QA299.6,
Publication Timeline
1990 | |2010
Key
Publications by Peter L Montgomery
Most widely held works by Peter L Montgomery
Factorizations of Cunningham numbers with bases 13 to 99 : millennium edition by R. P Brent ( Book )
2 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
Factorizations of a[superscript n] [+ or -] 1, 13 [<or =] a <100 by R. P Brent ( Book )
3 editions published between 1994 and 1996 in English and held by 3 WorldCat member libraries worldwide
Abstract: "As an extension of the 'Cunningham' tables, we present tables of factorizations of a[superscript n] [+ or -] 1 for 13 [<or =] a <100. The exponents n satisfy a[superscript n] <10²⁵⁵if a <30, and n [<or =] 100 if a [> or =] 30. The factorizations are complete for n [<or =] 46, and the tables contain no composite numbers smaller than 10⁸⁰."
Update to : factorizations of a[superscript n] [+ or -] 1, 13 [<or =] a <100 by R. P Brent ( Book )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Abstract: "In an earlier Report (NM-R9212, June 1992), two of us gave tables of factorizations of a[superscript n] [+ or -] 1 for 13 [<or =] a <100. The exponents n satisfied a[superscript n] <10²⁵⁵ if a <30, and n [<or =] 100 if a [> or =] 30. The factorizations were complete for n [<or =] 46, and the tables contained no composite numbers smaller than 10⁸⁰. In this Report we update the original tables. The factorizations are now complete for n [<or =] 58, and there are no composite numbers smaller than 10⁸⁶."
Update 1 to: factorizations of $a[superscript]n \plmin 1, 13 \leq a<100$ by Netherlands) Centrum voor Wiskunde en Informatica (Amsterdam ( Book )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Update 1 to--factorizations of an̳ [plus or minus] 1, 13 [is less than or equal to] a <100 by R. P Brent ( Book )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Factorizations of a n +- 1, 13 <_ a < 100: update 2 by R. P Brent ( Book )
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Abstract: "This Report updates the tables of factorizations of a[superscript n] [+ or -] 1 for 13 [<or =] a <100, previously published as CWI Report NM-9212 (June 1992) and updated in CWI Report NM-R9419 (September 1994). A total of 760 new entries in the tables are given here. The factorizations are now complete for n <67, and there are no composite cofactors smaller than 10⁹⁴."

Audience Level
 0 1 Kids General Special

Languages
English (9)