2 167 777 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
47604382921	11	35.5	old
77571732169	11	36.2	2008-07-14 20:21:30
3139897057319819057	19	61.4	2016-03-31 14:30:32
35115181123689237011153	23	74.9	2022-02-14 04:58:00

ECM

Digits	B1	Curves
25	50000	97 / 280

Estimated T-Level: 21.7 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-09	kkmrkkblmbrbk	58A8A32EB1F9CF28	3	0	1	3
Verified (Factored)	2017-10-22	Oliver Kruse	58A8A32EB1F9CF28	3	947407	1	3
Verified	2022-02-16	_p95holder_	8AB1D98A6C837A2F	4	757136	5	3
Verified	2022-02-20	LaurV	8AB1D98A6C837A2F	4	301646	5	3

P-1 factors

Date	Factor	B1	B2
2016-03-31	3139897057319819057	500000	15000000

History

Date	User	Type	Result
2022-02-20	freiburger	CERT	PRP Certification Proof certified good
2022-02-20	LaurV	C-PRP	M2167777/47604382921/77571732169/3139897057319819057/35115181123689237011153 : 8AB1D98A6C837A2F PRP proof power = 7 PRP: Verified Proof certified good
2022-02-16	_p95holder_	C-PRP	M2167777/47604382921/77571732169/3139897057319819057/35115181123689237011153 : 8AB1D98A6C837A2F PRP: Verified PRP without proof (not generated)
2022-02-14	_p95holder_	F-ECM	Factor: 35115181123689237011153 / (ECM curve 1, B1=50000, B2=5000000)
2017-10-22	Oliver Kruse	C-PRP	M2167777/47604382921/77571732169/3139897057319819057 : 58A8A32EB1F9CF28 PRP: Verified PRP without proof (not generated)
2017-10-09	kkmrkkblmbrbk	C-PRP	M2167777/47604382921/77571732169/3139897057319819057 : 58A8A32EB1F9CF28 PRP: Verified PRP without proof (not generated)
2016-03-31	alpertron	F-PM1	Factor: 3139897057319819057 / (P-1, B1=500000, B2=15000000, E=12)
2008-07-14	George Woltman	F-ECM	Factor: 77571732169