2 208 091 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

2208091

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
10295273108483972573969	23	73.1	2020-04-02 06:13:17
6436404514370455594026650897	28	92.4	2025-03-17 09:13:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	153 / 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)	1998-03-31	Bruce Mitchell	F12864C142545369	0
Verified (Factored)	1999-02-07	richard patchett	F12864C142545369	779313
Verified (Factored)	2018-04-16	kkmrkkblmbrbk	F12864C142545369	575548

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2020-04-03	Daniil Tsarkov	A8A3BFF7DC5F58F1	1	2085766	5	3
Verified (Factored)	2020-04-05	arnaud	A8A3BFF7DC5F58F1	1	1125459	5	3
Verified	2025-03-22	Perig	A8A3BFF7DC5F58F1	2	240576	5	3

History

Date	User	Type	Result
2025-03-22	Joey Peeps	CERT	PRP Certification Proof certified good
2025-03-22	Perig	C-PRP	M2208091/10295273108483972573969/6436404514370455594026650897 : A8A3BFF7DC5F58F1 PRP proof power = 7 PRP: Verified Proof certified good
2025-03-17	TJAOI	F-ECM	Factor: 6436404514370455594026650897 / (ECM curve 34, B1=250000, B2=254050335, Edwards Sigma=1236296850539429)
2020-04-05	arnaud	C-PRP	M2208091/10295273108483972573969 : A8A3BFF7DC5F58F1 PRP: Verified (Factored) PRP without proof (not generated)
2020-04-03	Daniil Tsarkov	C-PRP	M2208091/10295273108483972573969 : A8A3BFF7DC5F58F1 PRP: Verified (Factored) PRP without proof (not generated)
2020-04-02	Chang Chia-Tche	F-ECM	Factor: 10295273108483972573969 / (ECM curve 2, B1=50000, B2=5000000, Sigma=6487670859177067)
2019-12-23	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-16	kkmrkkblmbrbk	C-LL	F12864C142545369
2016-12-12	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 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
2015-10-21	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=148136
2014-06-24	Joss	NF-PM1	B1=119068
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2011-01-09	markr	NF-PM1	B1=90000, B2=1642500, E=6
2011-01-01	Joss	NF-PM1	B1=30000
2010-11-14	Joss	NF-PM1	B1=20000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-07	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

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