1 741 063 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1838123676403097265748271	25	80.6	2015-04-13 21:31:32
314376494466460562154947543	27	88.0	2023-02-13 10:23:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		phil kenny	B5E09757327637F7	0
Verified (Factored)	1998-11-28	Sam Robertson	B5E09757327637F7	396217

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	5AFACC92204379E6	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	C829AB94272AD82F	1	0	1	3
Verified (Factored)	2017-11-03	kkmrkkblmbrbk	C829AB94272AD82F	1	130657	1	3
Verified	2023-02-13	Kevin_9611	5AFACC92204379E6	2	1242259	5	3

P-1 factors

Date	Factor	B1	B2
2015-04-13	1838123676403097265748271	2475400	86660000

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	5AFACC92204379E6 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2023-02-13	Team_Inspector	CERT	PRP Certification Proof certified good
2023-02-13	Kevin_9611	C-PRP	M1741063/1838123676403097265748271/314376494466460562154947543 : 5AFACC92204379E6 PRP proof power = 7 PRP: Verified Proof certified good
2023-02-13	TJAOI	F-ECM	Factor: 314376494466460562154947543 / (ECM curve 29, B1=250000, B2=40000000, Sigma=2632507246612734)
2017-11-03	kkmrkkblmbrbk	C-PRP	M1741063/1838123676403097265748271 : C829AB94272AD82F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1741063/1838123676403097265748271 : C829AB94272AD82F PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-04-13	mikr	F-PM1	Factor: 1838123676403097265748271 / (P-1, B1=2475400, B2=86660000, E=12)
2014-12-02	Joss	NF-PM1	B1=210595
2014-09-11	Joss	NF-PM1	B1=173730
2014-05-06	Joss	NF-PM1	B1=136865
2014-04-05	Joss	NF-PM1	B1=100000
2011-02-10	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-20	Architects Cubed	NF	no factor from 2^60 to 2^61