4 021 001 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
85759933205284860056473	23	76.2	2021-06-06 00:03:03

ECM

Digits	B1	Curves
25	50000	56 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Tan Loe Joo	144D449CFFC64B07	0
Verified (Factored)	1999-10-07	Marc Lighter	144D449CFFC64B07	284161

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-06-06	riccardo uberti	1F9177082A54ACEF	1	3293518	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-27	85759933205284860056473	600000	417292590

History

Date	User	Type	Result
2023-05-27	USAFSS	F-PM1	Factor: 85759933205284860056473 / (P-1, B1=600000, B2=417292590)
2021-06-08	riccardo uberti	NF-PM1	B1=5000000, B2=100000000, E=12
2021-06-06	William Wallace	CERT	PRP Certification Proof certified good
2021-06-06	riccardo uberti	C-PRP	M4021001/85759933205284860056473 : 1F9177082A54ACEF PRP proof power = 7 PRP: Verified Proof certified good
2021-06-06	ATH	F-PP1	Start=2/7, B1=2500000, B2=172500000, Factor: 85759933205284860056473
2020-06-05	GdS	NF-PM1	B1=2396240, B2=59905988, E=12
2019-10-16	mikr	NF	no factor from 2^69 to 2^70
2019-10-16	mikr	NF	no factor from 2^68 to 2^69
2018-10-01	mikr	NF	no factor from 2^67 to 2^68
2016-09-03	kkmrkkblmbrbk	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^63
2015-05-19	snme2pm1	NF	no factor from 2^65 to 2^66
2015-01-03	Nesowa	NF-PM1	B1=225000, B2=4556250, E=6
2013-10-21	David Campeau	NF	no factor from 2^64 to 2^65
2013-08-01	Jayder	NF	no factor from 2^63 to 2^64
2013-06-23	Squeeky_Squirrel	NF-PM1	B1=120000, B2=2280000, E=6
2009-11-23	USAFSS	NF-PM1	B1=40000, B2=610000, E=4
2009-11-09	GrunwalderGIMP	NF	no factor from 2^1 to 2^63