3 086 423 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6172847	7	22.6	old
129629767	9	26.9	2008-09-07 19:43:59
432127489644466942986511040689	30	98.4	2021-03-05 18:37:51

ECM

Digits	B1	Curves
25	50000	70 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-29	Oliver Kruse	388EDA1C84075BFF	2	1994368	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	388EDA1C84075BFF	2	2002170	5	3
Verified	2021-03-06	riccardo uberti	388EDA1C84075BFF	3	2838946	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-05	432127489644466942986511040689	308642	3395065

History

Date	User	Type	Result
2022-10-06	Joss	NF-PM1	B1=3086423, B2=442977150
2022-03-15	LordJulius	NF	no factor from 2^66 to 2^67
2022-01-12	Joss	NF	no factor from 2^68 to 2^69
2022-01-02	Joss	NF-PM1	B1=3086423, B2=116689650
2022-01-02	Joss	NF-PM1	B1=3086423
2021-04-09	Joss	NF	no factor from 2^67 to 2^68
2021-03-07	riccardo uberti	NF-PM1	B1=5000000, B2=80000000, E=12
2021-03-06	Joss	NF-PM1	B1=308642, B2=9567911, E=6
2021-03-06	Joss	NF-PM1	B1=308642, B2=6481488, E=6
2021-03-06	curtisc	CERT	PRP Certification Proof certified good
2021-03-06	riccardo uberti	C-PRP	M3086423/6172847/129629767/432127489644466942986511040689 : 388EDA1C84075BFF PRP proof power = 7 PRP: Verified Proof certified good
2021-03-05	Joss	F-PM1	Factor: 432127489644466942986511040689 / (P-1, B1=308642, B2=3395065, E=6)
2021-02-10	Joss	NF	no factor from 2^65 to 2^66
2017-12-11	kkmrkkblmbrbk	C-PRP	M3086423/6172847/129629767 : 388EDA1C84075BFF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-29	Oliver Kruse	C-PRP	M3086423/6172847/129629767 : 388EDA1C84075BFF PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 129629767