11 827 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
2672903	7	21.3	old
41696632543	11	35.3	2008-08-26 19:58:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1895 / 9201

Estimated T-Level: 41.0 ⓘ

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	B2EDED23B943676A	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B2EDED23B943676A	2	3536	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	42FF284CE12AEF26	2	9458	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	42FF284CE12AEF26	2	1147	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=100/43, B1=430000000, B2=429570000000
2025-02-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11827/2672903/41696632543 : 42FF284CE12AEF26
2023-03-26	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11827/2672903/41696632543 : 42FF284CE12AEF26
2017-10-12	kkmrkkblmbrbk	C-PRP	M11827/2672903/41696632543 : B2EDED23B943676A
2017-09-21	Oliver Kruse	C-PRP	M11827/2672903/41696632543 : B2EDED23B943676A
2017-09-21	Oliver Kruse	C-PRP	M11827/2672903/41696632543 : B2EDED23B943676A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 111451054214082329
2008-08-26	-anonymous-	F	Factor: 41696632543