THE CARMICHAEL NUMBERS UP TO 10(15)

被引：25
作者：
PINCH, RGE
机构：
来源：
MATHEMATICS OF COMPUTATION | 1993年 / 61卷 / 203期
关键词：
D O I：
10.2307/2152963
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are 105212 Carmichael numbers up to 10(15): we describe the calculations. The numbers were generated by a back-tracking search for possible prime factorizations, and the computations checked by searching selected ranges of integers directly using a new sieving technique, together with a ''large-prime variation''.
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页码：381 / 391
页数：11
相关论文
共 29 条
[1]  
ALFORD WR, IN PRESS ANN MATH
[2]  
Beeger NGWH., 1950, SCRIPTA MATH, V16, P133
[3]  
Carmichael R. D., 1912, AM MATH MON, V19, P22
[4]   AVERAGE-CASE ERROR-ESTIMATES FOR THE STRONG PROBABLE PRIME TEST [J].
DAMGARD, I ;
LANDROCK, P ;
POMERANCE, C .
MATHEMATICS OF COMPUTATION, 1993, 61 (203) :177-194
[5]  
DAMGARD I, 1991, 3RD P IMA C COD CRYP
[6]  
DAVENPORT JH, 1992, P ISSAC 1992
[7]  
DIPORTO A, 1988, LECT NOTES COMPUT SC, V330, P211
[8]  
DUPARC H, 1951, SIMON STEVIN, V29, P21
[9]  
GUILLAUME D, 1991, TABLE NOMBRES CARMIC
[10]  
GUTHMANN A, 1992, COMPUTATION CARMICHA
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