11 527 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
20587223	8	24.3	old
43736963164087	14	45.3	2008-08-26 19:58:35
512861768722782410167	21	68.8	2008-08-29 02:24:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2157 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 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	880DE0823E848D08	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	880DE0823E848D08	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	880DE0823E848D08	3	6582	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0FF6F321AA6F7A51	3	5555	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	0FF6F321AA6F7A51	3	940	5	3

History

Date	User	Type	Result
2025-03-15	masser	NF-PP1	Start=91/13, B1=430000000, B2=429570000000
2025-02-28	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-23	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 0FF6F321AA6F7A51
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 0FF6F321AA6F7A51
2017-12-07	ATH	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 880DE0823E848D08
2017-10-02	kkmrkkblmbrbk	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 880DE0823E848D08
2017-09-21	Oliver Kruse	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 880DE0823E848D08
2017-09-21	Oliver Kruse	C-PRP	M11527/20587223/43736963164087/512861768722782410167 : 880DE0823E848D08
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 900422614001844660401
2008-08-29	-anonymous-	F-ECM	Factor: 512861768722782410167
2008-08-26	-anonymous-	F	Factor: 43736963164087