12 911 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
542263	6	19.0	old
13659839	8	23.7	2008-08-26 19:58:39
4815376523849	13	42.1	2008-08-26 19:58:39
15528159579497	14	43.8	2008-08-26 19:58:39
59208016253081	14	45.8	2008-08-26 19:58:39
281000935319313239	18	58.0	2008-08-29 02:24:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1985 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	512FBF6EF5AD938E	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	512FBF6EF5AD938E	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	512FBF6EF5AD938E	6	5081	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	80FFC19E397DD941	6	11517	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	80FFC19E397DD941	6	3709	5	3

History

Date	User	Type	Result
2025-03-08	masser	NF-PP1	Start=97/67, B1=430000000, B2=429570000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-19	-anonymous-	C-PRP	M12911/542263/13659839/4815376523849/15528159579497/59208016253081/281000935319313239 : 80FFC19E397DD941
2023-05-15	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M12911/542263/13659839/4815376523849/15528159579497/59208016253081/281000935319313239 : 80FFC19E397DD941
2017-12-07	ATH	C-PRP	M12911/542263/13659839/4815376523849/15528159579497/59208016253081/281000935319313239 : 512FBF6EF5AD938E
2017-10-02	kkmrkkblmbrbk	C-PRP	M12911/542263/13659839/4815376523849/15528159579497/59208016253081/281000935319313239 : 512FBF6EF5AD938E
2017-09-21	Oliver Kruse	C-PRP	M12911/542263/13659839/4815376523849/15528159579497/59208016253081/281000935319313239 : 512FBF6EF5AD938E
2008-08-29	-anonymous-	F-ECM	Factor: 281000935319313239
2008-08-26	-anonymous-	F	Factor: 59208016253081
2008-08-26	-anonymous-	F	Factor: 15528159579497
2008-08-26	-anonymous-	F	Factor: 4815376523849
2008-08-26	-anonymous-	F	Factor: 13659839