3 785 531 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
56027543262897615040250909220001	32	105.5	2016-04-12 13:43:38

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)	1998-09-27	CP Knerr	02F98421BD2397F7	0
Verified (Factored)	1999-11-17	Charles Dorian	02F98421BD2397F7	3104591

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	354AAE01ECF8C69C	1	0	1	3
Verified	2017-12-08	Oliver Kruse	354AAE01ECF8C69C	1	1273877	1	3

P-1 factors

Date	Factor	B1	B2
2016-04-12	56027543262897615040250909220001	1600000	66000000

History

Date	User	Type	Result
2022-09-13	Joss	NF-PM1	B1=1000000, B2=130364850
2022-08-26	Joss	NF-PM1	B1=1000000
2022-05-17	Joss	NF-PM1	B1=500000, B2=130364850
2017-12-08	Oliver Kruse	C-PRP	M3785531/56027543262897615040250909220001 : 354AAE01ECF8C69C PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3785531/56027543262897615040250909220001 : 354AAE01ECF8C69C PRP: Verified PRP without proof (not generated)
2016-04-12	mikr	F-PM1	Factor: 56027543262897615040250909220001 / (P-1, B1=1600000, B2=66000000, E=12)
2016-03-02	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-01-27	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-27	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-04-17	Squeeky_Squirrel	NF-PM1	B1=110000, B2=2062500, E=6
2012-03-23	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-04-12	markr	NF	no factor from 2^61 to 2^62
2009-07-14	Carsten Kossendey	NF-PM1	B1=20000, B2=265000
2009-03-01	S485122	NF	no factor from 2^60 to 2^61