10進19桁までのCarmichael数について
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概要
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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.