12 043 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
479349908069337285977863	24	78.7	old
1751303705738553935025930289	28	90.5	2008-08-26 19:58:36
59542475882828062864342198081	29	95.6	2008-08-29 02:24:29

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	1678 / 9201

Estimated T-Level: 40.9 ⓘ

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	9B32A8FE63E8749E	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9B32A8FE63E8749E	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9B32A8FE63E8749E	3	119	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	19DAE349BD441D9E	3	2255	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	19DAE349BD441D9E	3	6083	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=140/23, B1=430000000, B2=429570000000
2025-02-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12043/479349908069337285977863/1751303705738553935025930289/59542475882828062864342198081 : 19DAE349BD441D9E
2023-04-06	-anonymous-	F-PM1	Factors: 1751303705738553935025930289,479349908069337285977863 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M12043/479349908069337285977863/1751303705738553935025930289/59542475882828062864342198081 : 19DAE349BD441D9E
2017-12-07	ATH	C-PRP	M12043/479349908069337285977863/1751303705738553935025930289/59542475882828062864342198081 : 9B32A8FE63E8749E
2017-10-02	kkmrkkblmbrbk	C-PRP	M12043/479349908069337285977863/1751303705738553935025930289/59542475882828062864342198081 : 9B32A8FE63E8749E
2017-09-21	Oliver Kruse	C-PRP	M12043/479349908069337285977863/1751303705738553935025930289/59542475882828062864342198081 : 9B32A8FE63E8749E
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 59542475882828062864342198081
2008-08-26	-anonymous-	F-ECM	Factor: 1751303705738553935025930289