3 857 921 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
2707846525678362759959608663	28	91.1	2016-06-20 00:36:42

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		George Woltman	A5B524EB9FDB1E8A	3629345
Bad	1999-02-14	Sam Robertson	14B0FEEA7F3BF41C	1711450
Verified (Factored)	1999-08-31	Ethan Hansen	A5B524EB9FDB1E8A	3012232

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	97E8684201A9D544	1	0	1	3
Verified	2017-12-26	Oliver Kruse	97E8684201A9D544	1	3440633	1	3

P-1 factors

Date	Factor	B1	B2
2016-06-20	2707846525678362759959608663	2000000	62000000

History

Date	User	Type	Result
2022-06-19	LordJulius	NF	no factor from 2^66 to 2^67
2022-05-24	Joss	NF-PM1	B1=100000, B2=130364850
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-05	Joss	NF-PM1	B1=90000
2022-01-22	Joss	NF	no factor from 2^67 to 2^68
2017-12-26	Oliver Kruse	C-PRP	M3857921/2707846525678362759959608663 : 97E8684201A9D544 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3857921/2707846525678362759959608663 : 97E8684201A9D544 PRP: Verified PRP without proof (not generated)
2016-06-20	mikr	F-PM1	Factor: 2707846525678362759959608663 / (P-1, B1=2000000, B2=62000000, E=12)
2016-03-07	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-01-14	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-14	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-02-20	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-02-24	markr	NF	no factor from 2^61 to 2^62
2010-09-11	markr	NF-PM1	B1=95000, B2=1995000, E=6
2009-02-24	S485122	NF	no factor from 2^60 to 2^61