1 773 649 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4780326102429244441	19	62.1	2008-08-13 12:54:04
53206784324179401761559793	26	85.5	2020-09-11 10:25:24
94792251701258666915064961873	29	96.3	2023-05-08 09:52:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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	CAEC670374B7748D	0
Verified (Factored)	1998-12-06	Paul Victor Novarese	CAEC670374B7748D	976631

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	C285CE6359FA84BC	1	0	1	3
Verified (Factored)	2017-11-04	kkmrkkblmbrbk	C285CE6359FA84BC	1	1529467	1	3
Verified (Factored)	2020-09-11	ATH	2044DFD732CE6994	2	371577	5	3
Verified	2023-05-08	Naegi Makoto	2044DFD732CE6994	3	1300461	5	3

History

Date	User	Type	Result
2023-05-08	curtisc	CERT	PRP Certification Proof certified good
2023-05-08	Naegi Makoto	C-PRP	M1773649/4780326102429244441/53206784324179401761559793/94792251701258666915064961873 : 2044DFD732CE6994 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-08	TJAOI	F-ECM	Factor: 94792251701258666915064961873 / (ECM curve 46, B1=250000, B2=40000000, Sigma=4327791473938419)
2020-09-11	Ben Delo	CERT	PRP Certification Proof certified good
2020-09-11	ATH	C-PRP	M1773649/4780326102429244441/53206784324179401761559793 : 2044DFD732CE6994 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2020-09-11	TJAOI	F-ECM	Factor: 53206784324179401761559793 / (ECM curve 73, B1=50000, B2=5000000)
2017-11-04	kkmrkkblmbrbk	C-PRP	M1773649/4780326102429244441 : C285CE6359FA84BC PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1773649/4780326102429244441 : C285CE6359FA84BC PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-08-13	Scott Kurowski	F-ECM	Factor: 4780326102429244441