質數階乘 (primorial)
又稱為素數階乘。
質數階乘是所有小於或等於該數的質數之積。
正整數n的質數階乘寫作n#。

質數階乘有無限多個,表列前100個如下︰

0# = 1
1# = 1
2# = 2
3# = 6
4# = 6
5# = 30
6# = 30
7# = 210
8# = 210
9# = 210
10# = 210
11# = 2310
12# = 2310
13# = 30030
14# = 30030
15# = 30030
16# = 30030
17# = 510510
18# = 510510
19# = 9699690
20# = 9699690
21# = 9699690
22# = 9699690
23# = 223092870
24# = 223092870
25# = 223092870
26# = 223092870
27# = 223092870
28# = 223092870
29# = 6469693230
30# = 6469693230
31# = 200560490130
32# = 200560490130
33# = 200560490130
34# = 200560490130
35# = 200560490130
36# = 200560490130
37# = 7420738134810
38# = 7420738134810
39# = 7420738134810
40# = 7420738134810
41# = 304250263527210
42# = 304250263527210
43# = 13082761331670030
44# = 13082761331670030
45# = 13082761331670030
46# = 13082761331670030
47# = 614889782588491410
48# = 614889782588491410
49# = 614889782588491410
50# = 614889782588491410
51# = 614889782588491410
52# = 614889782588491410
53# = 32589158477190044730
54# = 32589158477190044730
55# = 32589158477190044730
56# = 32589158477190044730
57# = 32589158477190044730
58# = 32589158477190044730
59# = 1922760350154212639070
60# = 1922760350154212639070
61# = 117288381359406970983270
62# = 117288381359406970983270
63# = 117288381359406970983270
64# = 117288381359406970983270
65# = 117288381359406970983270
66# = 117288381359406970983270
67# = 7858321551080267055879090
68# = 7858321551080267055879090
69# = 7858321551080267055879090
70# = 7858321551080267055879090
71# = 557940830126698960967415390
72# = 557940830126698960967415390
73# = 40729680599249024150621323470
74# = 40729680599249024150621323470
75# = 40729680599249024150621323470
76# = 40729680599249024150621323470
77# = 40729680599249024150621323470
78# = 40729680599249024150621323470
79# = 3217644767340672907899084554130
80# = 3217644767340672907899084554130
81# = 3217644767340672907899084554130
82# = 3217644767340672907899084554130
83# = 267064515689275851355624017992790
84# = 267064515689275851355624017992790
85# = 267064515689275851355624017992790
86# = 267064515689275851355624017992790
87# = 267064515689275851355624017992790
88# = 267064515689275851355624017992790
89# = 23768741896345550770650537601358310
90# = 23768741896345550770650537601358310
91# = 23768741896345550770650537601358310
92# = 23768741896345550770650537601358310
93# = 23768741896345550770650537601358310
94# = 23768741896345550770650537601358310
95# = 23768741896345550770650537601358310
96# = 23768741896345550770650537601358310
97# = 2305567963945518424753102147331756070
98# = 2305567963945518424753102147331756070
99# = 2305567963945518424753102147331756070
100# = 2305567963945518424753102147331756070

前400項質數階乘亦可參考OEIS的A034386

搗蛋鬼 發表在 痞客邦 PIXNET 留言(0) 人氣()