4 032 403 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
7438760290520209471	19	62.7	2009-11-16 02:20:45
8368244766025792446217	22	72.8	2023-03-02 05:52:59

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-04-13	Mark Langezaal	AEFDE64F913E7054	0
Verified (Factored)	2000-03-08	MIT dept. of Univ. of Jyvaskyla	AEFDE64F913E7054	1247604

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	CD5EFAD621DB06C7	1	0	1	3
Verified (Factored)	2018-01-07	Oliver Kruse	CD5EFAD621DB06C7	1	3412256	1	3
Verified	2023-03-07	ATH	A196C561B43136AE	2	1977318	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-02	8368244766025792446217	220000	119776800

History

Date	User	Type	Result
2023-03-07	curtisc	CERT	PRP Certification Proof certified good
2023-03-07	ATH	C-PRP	M4032403/7438760290520209471/8368244766025792446217 : A196C561B43136AE PRP proof power = 7 PRP: Verified Proof certified good
2023-03-02	USAFSS	F-PM1	Factor: 8368244766025792446217 / (P-1, B1=220000, B2=119776800)
2018-01-07	Oliver Kruse	C-PRP	M4032403/7438760290520209471 : CD5EFAD621DB06C7 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4032403/7438760290520209471 : CD5EFAD621DB06C7 PRP: Verified (Factored) PRP without proof (not generated)
2009-11-16	GrunwalderGIMP	F-ECM	Factor: 7438760290520209471
2009-07-14	Carsten Kossendey	NF-PM1	B1=20000, B2=290000