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10進19桁までのCarmichael数について


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Title: 10進19桁までのCarmichael数について
Other Titles: On Carmichael numbers up to 19 decimal digit
Authors: 工藤, 愛知 / 末吉, 豊
Authors (alternative): Kudo, Aichi / Sueyoshi, Yutaka
Issue Date: Jul-2003
Citation: 長崎大学工学部研究報告 Vol.33(61) p. 69-78, 2003
Abstract: Carmichael numbers up to 10^<16> were known by the computation of R. G. E. Pinch [10](1998). We have computed the numbers up to 10^<19>. We let C(x) denote the numbers of Carmichael numbers less than x. Then C(10_<17>)=585355 [8](2002), C(10^<18>)=1401644 and C(10^<19>)=3381816. The result C(2.5・10^<18>)=1987866 was computed twice. Our method is constructive and similar to that of R. G. E. Pinch [9](1993). We used personal computers with Pentium 3-0.73~1GHz and UBASIC86 32bit version 8.8f for DOS/V.
URI: http://hdl.handle.net/10069/15051
ISSN: 02860902
Type: Departmental Bulletin Paper
Appears in Collections:Volume 33, No. 61

Citable URI : http://hdl.handle.net/10069/15051

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