4 094 999 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
8189999	7	23.0	old
68378293303	11	36.0	2008-09-07 21:15:00
1036567096871	13	39.9	2008-09-07 21:15:00
5930231004674062252681	22	72.3	2022-10-15 09:03:57
34504558991009977034570766593	29	94.8	2022-10-15 09:03:57

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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-14	Oliver Kruse	3130221B839C2160	3	2029084	5	3
Verified (Factored)	2017-12-23	kkmrkkblmbrbk	3130221B839C2160	3	1712100	5	3
Verified	2022-10-20	ATH	3130221B839C2160	5	4092506	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-15	204620005531092543844984177429124896515586639485833	200000	135233670

History

Date	User	Type	Result
2022-10-20	daveward2005	CERT	PRP Certification Proof certified good
2022-10-20	ATH	C-PRP	M4094999/8189999/68378293303/1036567096871/34504558991009977034570766593/5930231004674062252681 : 3130221B839C2160 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-15	USAFSS	F-PM1	Factor: 204620005531092543844984177429124896515586639485833 / (P-1, B1=200000, B2=135233670)
2017-12-23	kkmrkkblmbrbk	C-PRP	M4094999/8189999/68378293303/1036567096871 : 3130221B839C2160 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-14	Oliver Kruse	C-PRP	M4094999/8189999/68378293303/1036567096871 : 3130221B839C2160 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 1036567096871
2008-09-07	Will Edgington	F	Factor: 68378293303