11 171 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
22343	5	14.4	old
501913031	9	28.9	2008-08-26 19:58:34
384718135944024415563910195652706863599	39	128.2	2018-12-13 15:43:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2418 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	7A9B2BFDBEA79997	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	7A9B2BFDBEA79997	2	4163	1	3
Verified	No proof (small exponent)	2018-12-13	ATH	FB74F151217F9A57	3	1724	5	3
Verified	No proof (small exponent)	2018-12-15	arnaud	FB74F151217F9A57	3	1000	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	FB74F151217F9A57	1	3449	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=76/61, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2022-05-12	Jorge Coveiro	C-PRP	M11171/22343 : FB74F151217F9A57
2018-12-15	arnaud	C-PRP	M11171/22343/501913031/384718135944024415563910195652706863599 : FB74F151217F9A57
2018-12-13	ATH	C-PRP	M11171/22343/501913031/384718135944024415563910195652706863599 : FB74F151217F9A57
2018-12-13	James Hintz	F-ECM	Factor: 384718135944024415563910195652706863599
2017-10-12	kkmrkkblmbrbk	C-PRP	M11171/22343/501913031 : 7A9B2BFDBEA79997
2017-09-21	Oliver Kruse	C-PRP	M11171/22343/501913031 : 7A9B2BFDBEA79997
2017-09-21	Oliver Kruse	C-PRP	M11171/22343/501913031 : 7A9B2BFDBEA79997
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 501913031