2 138 713 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
634920769672256881145929	24	79.1	2021-05-01 05:19:21

ECM

Digits	B1	Curves
25	50000	165 / 280

Estimated T-Level: 22.9 ⓘ

TF below 2^71 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Friberg	3163E794A40D6ABD	0
Verified (Factored)	1999-02-07	Jan-Petter Midtgård	3163E794A40D6ABD	1783315
Verified (Factored)	2018-04-07	kkmrkkblmbrbk	3163E794A40D6ABD	1041324

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-05-01	mrh	67045514287E4DCC	1	628297	5	3

History

Date	User	Type	Result
2021-05-01	curtisc	CERT	PRP Certification Proof certified good
2021-05-01	mrh	C-PRP	M2138713/634920769672256881145929 : 67045514287E4DCC PRP proof power = 7 PRP: Verified Proof certified good
2021-05-01	GAN	F-ECM	Factor: 634920769672256881145929 / (ECM curve 3, B1=50000, B2=5000000, Sigma=606656774781261)
2019-04-22	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-07	kkmrkkblmbrbk	C-LL	3163E794A40D6ABD
2017-10-20	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2016-10-29	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-18	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-18	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-12-03	c10ck3r	NF-PM1	B1=500000, B2=10000000, E=12
2013-02-21	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-16	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2010-11-27	Oscar Östlin	NF-PM1	B1=80000, B2=1500000, E=6
2010-10-26	Oscar Östlin	NF-PM1	B1=75011
2009-01-04	Sturle Sunde	NF	no factor from 2^60 to 2^61