2 081 473 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
627364683290446366600098779256037775521	39	128.9	2023-08-19 20:09:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	149 / 640

Estimated T-Level: 26.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Rhesa Rozendaal	035F007103E03CF4	0
Verified (Factored)	1999-02-07	David Allen	035F007103E03CF4	474900
Verified (Factored)	2017-06-09	kkmrkkblmbrbk	035F007103E03CF4	475898

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-08-19	Naegi Makoto	6C4C1849C4B7AA2C	1	509188	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-19	627364683290446366600098779256037775521	14300000	48385326990

History

Date	User	Type	Result
2023-08-19	daveward2005	CERT	PRP Certification Proof certified good
2023-08-19	Naegi Makoto	C-PRP	M2081473/627364683290446366600098779256037775521 : 6C4C1849C4B7AA2C PRP proof power = 7 PRP: Verified Proof certified good
2023-08-19	Sid & Andy	F-PM1	Factor: 627364683290446366600098779256037775521 / (P-1, B1=14300000, B2=48385326990)
2023-07-07	Joss	NF-PM1	B1=1000000, B2=4725280560
2023-03-17	Joss	NF-PM1	B1=1000000, B2=2049006960
2023-01-18	Joss	NF-PM1	B1=1000000, B2=710870160
2021-08-26	TJAOI	NF	no factor from 2^68 to 2^69
2019-04-01	chuenkit	NF	no factor from 2^67 to 2^68
2017-06-09	kkmrkkblmbrbk	C-LL	035F007103E03CF4
2017-05-13	Joss	NF-PM1	B1=390261, B2=3902610, E=6
2017-03-31	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2016-11-11	Joss	NF-PM1	B1=315218
2016-11-05	Joss	NF-PM1	B1=262682
2016-11-04	Joss	NF-PM1	B1=218902
2016-09-14	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-07-16	Joss	NF-PM1	B1=182419, B2=6210000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-05	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-31	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-31	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-09-02	ramgeis	NF	no factor from 2^62 to 2^63
2012-03-17	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-22	James Heinrich	NF-PM1	B1=135000, B2=3105000, E=6
2011-01-07	Joss	NF-PM1	B1=50000
2010-12-28	Joss	NF-PM1	B1=30000
2009-07-25	USAFSS	NF-PM1	B1=20000, B2=260000
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

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