This table shows the factoring efforts that have been made
so far on numbers of the form n!+-1
using ECM factoring.
Please note that all of the numbers below have been factored at least up to a
20 digit limit.
Here is a list of large factors found ordered by date or by n.
Limits for some values with other work (eg. P-1 or P+1) is here.
Complete lists for n!+1 and n!-1 are maintained by Paul Leyland are available here .
Lists are also kept from n=400 upwards(!) for n!+1and n!-1
If you perform any searches on the numbers below, please contact me so the list can be updated.
Information on factoring efforts for a wide variety of other numbers,as well as
programs for
different machines, can be found at the ECMNetpage and http://www.mersenne.org
As of 11 October 2001, all values with n<=100 have been factored!. A big
thank you
to all who have helped.
Table Notation
|
F |
|
Done |
|
|
F - Number completely factored.
Done - Number searched up to limit of :
using ecm3b or later.
Blue box - No known factors, please help!
Rows where n!+1 and n!-1 are both factorised have not been shown.
For n>200 the following have at least 200 curves at B1=50k completed
n!-1: 301-500
n!+1: All to 500, 501-1000 10 curves each
|
n |
B1=250000 |
10^6 |
3*10^6 |
11*10^6 |
50*10^6 |
|
n |
B1=250000 |
10^6 |
3*10^6 |
11*10^6 |
43*10^6 |
50*10^6 |
110*10^6 |
|
109 |
F |
|
|
|
|
|
109 |
Done |
Done |
Done |
Done |
7772 |
10002 |
10031 |
|
n |
B1=250000 |
10^6 |
3*10^6 |
11*10^6 |
43*10^6 |
|
n |
B1=250000 |
10^6 |
3*10^6 |
11*10^6 |
43*10^6 |
110*10^6 |
|
113 |
Done |
Done |
Done |
Done |
9014 |
|
113 |
F |
|
|
|
|
|
|
114 |
F |
|
|
|
|
|
114 |
Done |
Done |
Done |
Done |
9312 |
|
|
115 |
F |
|
|
|
|
|
115 |
Done |
Done |
Done |
Done |
8919 |
|
|
119 |
F |
|
|
|
|
|
119 |
Done |
Done |
Done |
Done |
7772 |
|
|
121 |
Done |
Done |
Done |
5504 |
|
|
121 |
F |
|
|
|
|
|
|
122 |
Done |
Done |
Done |
4592 |
|
|
122 |
Done |
Done |
Done |
4771 |
|
|
|
125 |
F |
|
|
|
|
|
125 |
Done |
Done |
Done |
4771 |
|
|
|
128 |
F |
|
|
|
|
|
128 |
Done |
Done |
Done |
Done |
|
|
|
129 |
F |
|
|
|
|
|
129 |
Done |
Done |
Done |
Done |
|
|
|
130 |
F |
|
|
|
|
|
130 |
Done |
Done |
Done |
Done |
|
|
|
131 |
Done |
Done |
Done |
Done |
|
|
131 |
Done |
Done |
3000 |
Done |
|
|
|
132 |
Done |
Done |
Done |
Done |
|
|
132 |
F |
|
|
|
|
|
|
136 |
Done |
Done |
Done |
Done |
|
|
136 |
F |
|
|
|
|
|
|
139 |
Done |
Done |
2450 |
Done |
|
|
139 |
Done |
Done |
Done |
Done |
|
|
|
140 |
Done |
Done |
2450 |
Done |
|
|
140 |
Done |
Done |
Done |
8648 |
|
|
|
141 |
Done |
Done |
|
Done |
|
|
141 |
Done |
Done |
|
Done |
|
|
|
142 |
Done |
Done |
|
Done |
|
|
142 |
Done |
Done |
|
Done |
|
|
|
144 |
Done |
Done |
|
Done |
|
|
144 |
Done |
Done |
1472 |
Done |
|
|
|
145 |
Done |
Done |
|
Done |
|
|
145 |
F |
|
|
|
|
|
|
146 |
Done |
Done |
|
|
|
|
146 |
Done |
Done |
|
Done |
|
|
|
148 |
Done |
Done |
|
Done |
|
|
148 |
Done |
Done |
|
Done |
|
|
|
149 |
F |
|
|
|
|
|
149 |
Done |
Done |
|
Done |
|
|
|
150 |
F |
|
|
|
|
|
150 |
Done |
Done |
|
|
|
|
|
151 |
Done |
Done |
Done |
3500 |
|
|
151 |
F |
|
|
|
|
|
|
152 |
Done |
Done |
2320 |
|
|
|
152 |
Done |
Done |
|
|
|
|
|
154 |
Done |
Done |
Done |
3000 |
|
|
154 |
F |
|
|
|
|
|
|
155 |
Done |
Done |
|
|
|
|
155 |
Done |
Done |
|
|
|
|
|
156 |
Done |
Done |
|
|
|
|
156 |
Done |
Done |
|
|
|
|
|
157 |
F |
|
|
|
|
|
157 |
Done |
Done |
|
|
|
|
|
159 |
Done |
Done |
|
|
|
|
159 |
Done |
Done |
|
|
|
|
|
160 |
Done |
Done |
|
|
|
|
160 |
Done |
Done |
|
|
|
|
|
161 |
Done |
Done |
|
|
|
|
161 |
F |
|
|
|
|
|
|
162 |
Done |
Done |
|
|
|
|
162 |
Done |
Done |
|
|
|
|
|
163 |
Done |
Done |
|
|
|
|
163 |
Done |
Done |
|
|
|
|
|
164 |
Done |
Done |
|
|
|
|
164 |
Done |
Done |
|
|
|
|
|
165 |
F |
|
|
|
|
|
165 |
Done |
Done |
|
|
|
|
|
166 |
F |
|
|
|
|
|
166 |
Done |
Done |
|
|
|
|
|
167 |
Done |
Done |
|
|
|
|
167 |
F |
|
|
|
|
|
|
168 |
F |
|
|
|
|
|
168 |
Done |
Done |
|
|
|
|
|
169 |
Done |
Done |
|
|
|
|
169 |
Done |
Done |
|
|
|
|
|
170 |
Done |
Done |
|
|
|
|
170 |
Done |
Done |
1797 |
|
|
|
|
171 |
Done |
Done |
|
|
|
|
171 |
Done |
Done |
|
|
|
|
|
172 |
F |
|
|
|
|
|
172 |
Done |
Done |
|
|
|
|
|
173 |
F |
|
|
|
|
|
173 |
Done |
Done |
|
|
|
|
|
174 |
Done |
Done |
|
|
|
|
174 |
Done |
Done |
|
|
|
|
|
175 |
Done |
Done |
|
|
|
|
175 |
Done |
Done |
|
|
|
|
|
176 |
Done |
Done |
|
|
|
|
176 |
Done |
Done |
|
|
|
|
|
177 |
Done |
Done |
|
|
|
|
177 |
Done |
Done |
|
|
|
|
|
178 |
Done |
Done |
|
|
|
|
178 |
F |
|
|
|
|
|
|
179 |
Done |
Done |
|
|
|
|
179 |
Done |
Done |
|
|
|
|
|
180 |
Done |
Done |
|
|
|
|
180 |
Done |
Done |
Done |
|
|
|
|
181 |
Done |
Done |
|
|
|
|
181 |
Done |
Done |
Done |
5943 |
1166 |
|
|
182 |
Done |
Done |
|
|
|
|
182 |
Done |
Done </ |