11 057 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
442746259786906683079	21	68.6	old
3039681293464246538358541313	28	91.3	2008-10-16 23:57:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2650 / 9201

Estimated T-Level: 41.4 ⓘ

TF below 2^133 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	4D0EAF01C4063317	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4D0EAF01C4063317	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4D0EAF01C4063317	2	10178	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4162006DEE7B8ECE	2	6068	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4162006DEE7B8ECE	2	6890	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=168/59, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-25	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11057/3039681293464246538358541313/442746259786906683079 : 4162006DEE7B8ECE
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11057/442746259786906683079/3039681293464246538358541313 : 4162006DEE7B8ECE
2017-12-07	ATH	C-PRP	M11057/442746259786906683079/3039681293464246538358541313 : 4D0EAF01C4063317
2017-10-02	kkmrkkblmbrbk	C-PRP	M11057/442746259786906683079/3039681293464246538358541313 : 4D0EAF01C4063317
2017-09-21	Oliver Kruse	C-PRP	M11057/known_factors : 4D0EAF01C4063317
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 3039681293464246538358541313