List of champions for factoring Cunningham numbers:

Quadratic sieve method:
3563	C116	3,329+	A. K. Lenstra & M. Manasse & al. with many computers
3138	C116	10,142+	A. K. Lenstra & M. Manasse & al. with many computers

Largest penultimate prime factor (ultimate factor shown also):
3409	p69*p90  2,523-    A. K. Lenstra & D. Bernstein with two MasPars
3590	p68*p69	 6,178+	   R. Silverman with several computers

	First five holes in each table on December 13, 1993:

2,511-	c123	2,527-	c145	2,543-	c106	2,559-	c142	2,563-	c146
2,519+	c104	2,521+	c140	2,535+	c101	2,569+	c144	2,575+	c102
2,854M	c102	2,874M	c102	2,898L	c107	2,902M	c111	2,914M	c133
2,524+	c119	2,536+	c156	2,548+	c157	2,556+	c134	2,568+	c120

3,319-	c119	3,331-	c139	3,349-	c167	3,359-	c108	3,365-	c111
3,307+	c137	3,313+	c129	3,314+	c106	3,316+	c127	3,317+	c151

5,233-	c148	5,247-	c147	5,253-	c143	5,273-	c101
5,206+	c143	5,209+	c108	5,218+	c106	5,223+	c129	5,224+	c120

6,187-	c107	6,199-	c122	6,209-	c111	6,211-	c142	6,217-	c97
6,202+	c142	6,206+	c146	6,209+	c130	6,218+	c130	6,221+	c147

7,173-	c146	7,187-	c121	7,193-	c109	7,199-	c164	7,203-	c136
7,172+	c114	7,173+	c123	7,178+	c146	7,181+	c114	7,182+	c122

10,163-	c138	10,167-	c142	10,169-	c152	10,173-	c154	10,177-	c113
10,149+	c123	10,158+	c120	10,163+	c139	10,166+	c164	10,167+	c118

11,151-	c139	11,167-	c128	11,169-	c151	11,177-	c104
11,131+	c129	11,142+	c141	11,146+	c132	11,148+	c147	11,149+	c145

12,137-	c123	12,139-	c119	12,149-	c156	12,151-	c162	12,161-	c135
12,148+	c156	12,151+	c128	12,155+	c111	12,157+	c106	12,163+	c132

Ten most wanted:		Twenty-four more wanted:

1.	2,1024+	C291		2,527-	C145	3,314+	C106
2.	5,256+	C134		2,543-	C106	3,316+	C127
3.	2,511-	C123		2,563-	C146	3,317+	C151
4.	2,521+	C140		2,898L	C107	5,209+	C108
5.	3,319-	C119		2,902M	C111	6,187-	C107
6.	10,149+	C123		2,914M	C133	7,173+	C123
7.	10,163-	C138		2,934L	C133	10,158+	C120
8.	3,307+	C137		2,524+	C119	11,131+	C129
9.	5,206+	C143		2,536+	C156	11,142+	C141
10.	7,178+	C146		2,548+	C157	11,146+	C132
				2,556+	C134	12,137-	C123
				3,313+	C129	12,139-	C119

Here is the list of smaller but needed numbers:

2,519+	c104
2,535+	c101
2,575+	c102
2,854M	c102
2,874M	c102
2,926L	c103
2,958L	c92
2,588+	c97
