4 057 873 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
10831164263117687371361	23	73.2	2021-06-29 16:22:50

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)	1998-04-21	Bill Homer	A8FBC5153264CB89	0
Verified (Factored)	2000-01-25	MechEngrGATech	A8FBC5153264CB89	1420578

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-07-01	kutens	D35ED44260272432	1	3326726	5	3

History

Date	User	Type	Result
2021-07-01	Ben Delo	CERT	PRP Certification Proof certified good
2021-07-01	kutens	C-PRP	M4057873/10831164263117687371361 : D35ED44260272432 PRP proof power = 7 PRP: Verified Proof certified good
2021-06-29	ATH	F-PP1	Start=2/7, B1=2500000, B2=170000000, Factor: 10831164263117687371361
2020-11-30	mikr	NF	no factor from 2^69 to 2^70
2020-11-30	mikr	NF	no factor from 2^68 to 2^69
2018-12-16	Ismo Laitela	NF-PM1	B1=2237739, B2=62656681, E=12
2018-11-03	Yxinity	NF	no factor from 2^67 to 2^68
2016-09-24	kkmrkkblmbrbk	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-05-21	snme2pm1	NF	no factor from 2^65 to 2^66
2013-10-27	David Campeau	NF	no factor from 2^64 to 2^65
2013-08-19	Jayder	NF	no factor from 2^63 to 2^64
2013-07-02	Squeeky_Squirrel	NF-PM1	B1=120000, B2=2310000, E=6
2011-07-23	USAFSS	NF-PM1	B1=40000, B2=580000
2011-07-01	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-10-18	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-17	Carsten Kossendey	NF-PM1	B1=20000, B2=300000