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Density of Carmichael numbers with three prime factors
被引:6
作者
:
Balasubramanian, R
论文数:
0
引用数:
0
h-index:
0
Balasubramanian, R
Nagaraj, SV
论文数:
0
引用数:
0
h-index:
0
Nagaraj, SV
机构
:
来源
:
MATHEMATICS OF COMPUTATION
|
1997年
/ 66卷
/ 220期
关键词
:
Carmichael number;
primality testing;
D O I
:
10.1090/S0025-5718-97-00857-0
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We get an upper bound of O(x(5/14+o(1))) on the number of Carmichael numbers less than or equal to x with exactly three prime factors.
引用
收藏
页码:1705 / 1708
页数:4
相关论文
共 11 条
[1]
AVERAGE-CASE ERROR-ESTIMATES FOR THE STRONG PROBABLE PRIME TEST
DAMGARD, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
DAMGARD, I
LANDROCK, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
LANDROCK, P
POMERANCE, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
POMERANCE, C
[J].
MATHEMATICS OF COMPUTATION,
1993,
61
(203)
: 177
-
194
[2]
KOBLITZ N, 1987, COURSE NUMBER THEORY
[3]
MULTIPLICATIVE FUNCTIONS OF POLYNOMIAL VALUES IN SHORT INTERVALS
NAIR, M
论文数:
0
引用数:
0
h-index:
0
NAIR, M
[J].
ACTA ARITHMETICA,
1992,
62
(03)
: 257
-
269
[4]
THE CARMICHAEL NUMBERS UP TO 10(15)
PINCH, RGE
论文数:
0
引用数:
0
h-index:
0
PINCH, RGE
[J].
MATHEMATICS OF COMPUTATION,
1993,
61
(203)
: 381
-
391
[5]
THE PSEUDOPRIMES TO 25.109
POMERANCE, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
POMERANCE, C
SELFRIDGE, JL
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
SELFRIDGE, JL
WAGSTAFF, SS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
WAGSTAFF, SS
[J].
MATHEMATICS OF COMPUTATION,
1980,
35
(151)
: 1003
-
1026
[6]
POMERANCE C, 1993, CARMICHAEL NUMBERS, V11, P199
[7]
Ramanujan S, 1915, P LOND MATH SOC, V14, P347
[8]
RIBENBOIM P, 1989, BOOK PRIME NUMBER RE
[9]
[No title captured]
[10]
[No title captured]
←
1
2
→
共 11 条
[1]
AVERAGE-CASE ERROR-ESTIMATES FOR THE STRONG PROBABLE PRIME TEST
DAMGARD, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
DAMGARD, I
LANDROCK, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
LANDROCK, P
POMERANCE, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
POMERANCE, C
[J].
MATHEMATICS OF COMPUTATION,
1993,
61
(203)
: 177
-
194
[2]
KOBLITZ N, 1987, COURSE NUMBER THEORY
[3]
MULTIPLICATIVE FUNCTIONS OF POLYNOMIAL VALUES IN SHORT INTERVALS
NAIR, M
论文数:
0
引用数:
0
h-index:
0
NAIR, M
[J].
ACTA ARITHMETICA,
1992,
62
(03)
: 257
-
269
[4]
THE CARMICHAEL NUMBERS UP TO 10(15)
PINCH, RGE
论文数:
0
引用数:
0
h-index:
0
PINCH, RGE
[J].
MATHEMATICS OF COMPUTATION,
1993,
61
(203)
: 381
-
391
[5]
THE PSEUDOPRIMES TO 25.109
POMERANCE, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
POMERANCE, C
SELFRIDGE, JL
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
SELFRIDGE, JL
WAGSTAFF, SS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV GEORGIA, DEPT MATH, ATHENS, GA 30602 USA
WAGSTAFF, SS
[J].
MATHEMATICS OF COMPUTATION,
1980,
35
(151)
: 1003
-
1026
[6]
POMERANCE C, 1993, CARMICHAEL NUMBERS, V11, P199
[7]
Ramanujan S, 1915, P LOND MATH SOC, V14, P347
[8]
RIBENBOIM P, 1989, BOOK PRIME NUMBER RE
[9]
[No title captured]
[10]
[No title captured]
←
1
2
→