3 282 709 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
2743787566432097076654723769	28	91.1	2021-02-28 20:25:53

ECM

Digits	B1	Curves
25	50000	29 / 280

Estimated T-Level: 20.5 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-08	karl voss	AF4D96AFD806D968	0
Verified (Factored)	1999-10-07	Chris DiPierro	AF4D96AFD806D968	1765288

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-03-01	xyuzyz	D7F2C1F7FBEFDD70	1	1828334	5	3
Verified	2021-03-02	Oliver Kruse	D7F2C1F7FBEFDD70	1	386917	5	3

P-1 factors

Date	Factor	B1	B2
2021-02-28	2743787566432097076654723769	4000000	150000000

History

Date	User	Type	Result
2022-09-12	Joss	NF-PM1	B1=1000000, B2=241152450
2022-03-24	Joss	NF-PM1	B1=1000000, B2=134316000
2021-03-02	curtisc	CERT	PRP Certification Proof certified good
2021-03-02	Oliver Kruse	C-PRP	M3282709/2743787566432097076654723769 : D7F2C1F7FBEFDD70 PRP proof power = 7 PRP: Verified Proof certified good
2021-03-01	xyuzyz	C-PRP	M3282709/2743787566432097076654723769 : D7F2C1F7FBEFDD70 PRP: Verified PRP without proof (not generated)
2021-02-28	mikr	F-PM1	Factor: 2743787566432097076654723769 / (P-1, B1=4000000, B2=150000000, E=12)
2018-11-26	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-25	Joss	NF-PM1	B1=383400, B2=3834000, E=6
2015-06-29	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-10	Joss	NF-PM1	B1=99104
2014-06-26	-Anonymous-	NF-PM1	B1=79552
2012-12-30	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-01	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-09-22	USAFSS	NF-PM1	B1=60000, B2=1065000, E=6
2009-07-09	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-02	S485122	NF	no factor from 2^60 to 2^61