2 221 589 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9711918371382147941990689	25	83.0	2022-01-26 17:01:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	147 / 640

Estimated T-Level: 26.1 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jeff Gray	3573C0B7230BD668	0
Verified (Factored)	1999-02-21	Stephen Wood	3573C0B7230BD668	1063162
Verified (Factored)	2018-04-19	kkmrkkblmbrbk	3573C0B7230BD668	130168

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-01-29	LaurV	020310CAF7C787D8	1	1286475	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-26	9711918371382147941990689	6972593	112580788320

History

Date	User	Type	Result
2022-01-29	Ben Delo	CERT	PRP Certification Proof certified good
2022-01-29	LaurV	C-PRP	M2221589/9711918371382147941990689 : 020310CAF7C787D8 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-26	LaurV	F-PM1	Factor: 9711918371382147941990689 / (P-1, B1=6972593, B2=112580788320)
2022-01-24	LaurV	NF-PM1	B1=6972593
2021-08-19	TJAOI	NF	no factor from 2^68 to 2^69
2019-04-22	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-19	kkmrkkblmbrbk	C-LL	3573C0B7230BD668
2016-12-23	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
2015-12-20	Alexander Dubrovin	NF-PM1	B1=2000000, B2=65000000, E=12
2015-11-19	Alexander Dubrovin	NF-PM1	B1=1000000, B2=10000000, E=6
2015-11-19	Alexander Dubrovin	NF-PM1	B1=1000000, B2=5000000, E=6
2015-10-23	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-26	Squeeky_Squirrel	NF-PM1	B1=160000, B2=4600000, E=6
2015-03-06	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-06	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-29	Joss	NF-PM1	B1=142782
2014-05-26	Joss	NF-PM1	B1=113891
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-19	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-02	Oscar Östlin	NF-PM1	B1=85000, B2=1593750, E=6
2010-10-13	Oscar Östlin	NF-PM1	B1=75011
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61

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