11 471 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
22943	5	14.5	old
144075761	9	27.1	2008-08-26 19:58:35
48126649327	11	35.5	2008-08-26 19:58:35
101276352838745570545702111951	30	96.4	2009-07-13 06:03:52

P-1 factors

Date	Factors	B1	B2
2023-01-20	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	2643 / 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	229B0F20503EC5FC	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	229B0F20503EC5FC	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	229B0F20503EC5FC	4	6412	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EBABE879DA715004	4	4820	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	EBABE879DA715004	1	7001	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	EBABE879DA715004	4	9891	5	3

History

Date	User	Type	Result
2025-03-15	masser	NF-PP1	Start=111/71, B1=430000000, B2=429570000000
2025-03-04	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	M11471/101276352838745570545702111951/144075761/22943/48126649327 : EBABE879DA715004
2023-01-20	-anonymous-	F-PM1	Factor: 101276352838745570545702111951 / B1=100000000000, B2=122192573512709700
2022-05-12	Jorge Coveiro	C-PRP	M11471/22943 : EBABE879DA715004
2020-04-17	Oliver Kruse	C-PRP	M11471/22943/144075761/48126649327/101276352838745570545702111951 : EBABE879DA715004
2017-12-07	ATH	C-PRP	M11471/22943/144075761/48126649327/101276352838745570545702111951 : 229B0F20503EC5FC
2017-10-02	kkmrkkblmbrbk	C-PRP	M11471/22943/144075761/48126649327/101276352838745570545702111951 : 229B0F20503EC5FC
2017-09-21	Oliver Kruse	C-PRP	M11471/22943/144075761/48126649327/101276352838745570545702111951 : 229B0F20503EC5FC
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-07-13	Rob_Dee	F-ECM	Factor: 101276352838745570545702111951
2008-08-26	-anonymous-	F	Factor: 48126649327
2008-08-26	-anonymous-	F	Factor: 144075761