3 267 571 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
21861163738203007603457	23	74.2	2021-01-17 09:40:11

ECM

Digits	B1	Curves
25	50000	27 / 280

Estimated T-Level: 20.5 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joel Armengaud	1E3FD5F8F07BCA93	0
Verified (Factored)	1999-10-07	David Allen	1E3FD5F8F07BCA93	1767751

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-18	Chang Chia-Tche	213199A80818D0F2	1	2399675	5	3

History

Date	User	Type	Result
2022-09-12	Joss	NF-PM1	B1=1000000, B2=241152450
2022-04-05	Joss	NF-PM1	B1=1000000, B2=134316000
2021-01-18	curtisc	CERT	PRP Certification Proof certified good
2021-01-18	Chang Chia-Tche	C-PRP	M3267571/21861163738203007603457 : 213199A80818D0F2 PRP proof power = 7 PRP: Verified Proof certified good
2021-01-17	axn	F-ECM	Factor: 21861163738203007603457 / (ECM curve 1, B1=80000, B2=11280000, Sigma=6207286298977360)
2020-11-15	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2018-12-17	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-04	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-16	Joss	NF-PM1	B1=378000, B2=3780000, E=6
2015-06-28	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-10	Joss	NF-PM1	B1=99286
2014-06-21	Joss	NF-PM1	B1=79643
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-09-20	markr	NF	no factor from 2^61 to 2^62
2011-09-17	USAFSS	NF-PM1	B1=60000, B2=1050000, E=6
2009-07-08	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-02	S485122	NF	no factor from 2^60 to 2^61