12 011 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
24023	5	14.6	old
838097312281	12	39.6	2008-08-26 19:58:36
45176405353463311	17	55.3	2008-08-29 02:24:28
7302598550108770364567	22	72.6	2008-08-29 02:24:28
56827346588946755160694429377759527951569	41	135.4	2014-07-07 18:33:44

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3973 / 9201

Estimated T-Level: 42.2 ⓘ

TF below 2^135 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	D787FD5B94062F91	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D787FD5B94062F91	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D787FD5B94062F91	5	64	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	59CA4AAAE5362D6D	5	1967	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	59CA4AAAE5362D6D	1	2674	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	59CA4AAAE5362D6D	5	11759	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=165/29, B1=430000000, B2=429570000000
2025-02-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12011/24023/838097312281/45176405353463311/7302598550108770364567/56827346588946755160694429377759527951569 : 59CA4AAAE5362D6D
2023-04-06	-anonymous-	F-PM1	Factor: 7302598550108770364567 / B1=100000000000, B2=122192573512709700
2022-05-12	Jorge Coveiro	C-PRP	M12011/24023 : 59CA4AAAE5362D6D
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M12011/24023/838097312281/45176405353463311/7302598550108770364567/56827346588946755160694429377759527951569 : 59CA4AAAE5362D6D
2017-12-07	ATH	C-PRP	M12011/24023/838097312281/45176405353463311/7302598550108770364567/56827346588946755160694429377759527951569 : D787FD5B94062F91
2017-10-02	kkmrkkblmbrbk	C-PRP	M12011/24023/838097312281/45176405353463311/7302598550108770364567/56827346588946755160694429377759527951569 : D787FD5B94062F91
2017-09-21	Oliver Kruse	C-PRP	M12011/known_factors : D787FD5B94062F91
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2014-07-07	BloodIce	F-ECM	Factor: 56827346588946755160694429377759527951569
2008-08-29	-anonymous-	F-ECM	Factor: 7302598550108770364567
2008-08-29	-anonymous-	F-ECM	Factor: 45176405353463311
2008-08-26	-anonymous-	F	Factor: 838097312281