2 208 991 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
455623013048493530851769178958692471076351	42	138.4	2023-06-04 17:08:28

ECM

Digits	B1	Curves
25	50000	205 / 280

Estimated T-Level: 23.7 ⓘ

TF below 2^74 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Thomas Womack	0430348A300A49B7	0
Verified (Factored)	1999-03-15	Martin Felker	0430348A300A49B7	47298
Verified (Factored)	2018-04-17	kkmrkkblmbrbk	0430348A300A49B7	502266

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-06-04	Naegi Makoto	15C8A1AFFBD1E8DE	1	2009700	5	3

P-1 factors

Date	Factor	B1	B2
2023-06-04	455623013048493530851769178958692471076351	1000000	4524839550
2023-08-11	455623013048493530851769178958692471076351	10000000	51708608490

History

Date	User	Type	Result
2023-08-11	Sid & Andy	F-PM1	Factor: 455623013048493530851769178958692471076351 / (P-1, B1=10000000, B2=51708608490)
2023-06-04	SANGPIL HAN	CERT	PRP Certification Proof certified good
2023-06-04	Naegi Makoto	C-PRP	M2208991/455623013048493530851769178958692471076351 : 15C8A1AFFBD1E8DE PRP proof power = 7 PRP: Verified Proof certified good
2023-06-04	Joss	F-PM1	Factor: 455623013048493530851769178958692471076351 / (P-1, B1=1000000, B2=4524839550)
2023-02-20	Joss	NF-PM1	B1=1000000, B2=900310950
2022-12-22	Architects Cubed	NF	no factor from 2^69 to 2^70
2021-06-24	TJAOI	NF	no factor from 2^68 to 2^69
2019-12-26	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-17	kkmrkkblmbrbk	C-LL	0430348A300A49B7
2016-12-12	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
2015-12-09	Alexander Dubrovin	NF-PM1	B1=2000000, B2=65000000, E=12
2015-12-08	Alexander Dubrovin	NF-PM1	B1=2000000, B2=15000000, E=12
2015-11-11	Alexander Dubrovin	NF-PM1	B1=1000000, B2=2500000, E=6
2015-10-22	ramgeis	NF	no factor from 2^65 to 2^66
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
2014-10-17	Joss	NF-PM1	B1=148112
2014-06-24	Joss	NF-PM1	B1=119056
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2011-01-08	markr	NF-PM1	B1=90000, B2=1665000, E=6
2010-11-10	Joss	NF-PM1	B1=30000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-08	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61

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