1 772 609 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
21735278139318864786761377	26	84.2	2023-02-25 23:44:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Kevin Postlewaite	17D8DBA78CC3BE49	0
Verified (Factored)	1999-02-07	Andy Howden	17D8DBA78CC3BE49	790738
Verified (Factored)	2015-07-10	MadPoo	17D8DBA78CC3BE49	570681

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-02-26	LordJulius	939D25AEC0E42C05	1	289488	5	3

P-1 factors

Date	Factor	B1	B2
2023-02-25	21735278139318864786761377	1772609	2660787360

History

Date	User	Type	Result
2023-02-26	Richard Thomas	CERT	PRP Certification Proof certified good
2023-02-26	LordJulius	C-PRP	M1772609/21735278139318864786761377 : 939D25AEC0E42C05 PRP proof power = 7 PRP: Verified Proof certified good
2023-02-25	Joss	F-PM1	Factor: 21735278139318864786761377 / (P-1, B1=1772609, B2=2660787360)
2023-01-07	Joss	NF-PM1	B1=1772609, B2=915734820
2022-08-03	masser	NF-PP1	Start=175/13, B1=1600000, B2=57600000
2019-07-15	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-19	Joss	NF-PM1	B1=1772609, B2=194986990, E=12
2018-07-05	Joss	NF-PM1	B1=1772609, B2=177260900, E=12
2018-06-04	TJAOI	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2015-09-11	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-10	MadPoo	C-LL	17D8DBA78CC3BE49
2015-05-16	mikr	NF-PM1	B1=2475400, B2=86660000, E=12
2015-05-01	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-01	snme2pm1	NF	no factor from 2^63 to 2^64
2014-09-18	Joss	NF-PM1	B1=172418
2014-05-09	Joss	NF-PM1	B1=136209
2014-04-10	-Anonymous-	NF-PM1	B1=100000
2011-02-10	Carsten Kossendey	NF-PM1	B1=95000, B2=1615000, E=6
2010-12-13	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-20	Architects Cubed	NF	no factor from 2^60 to 2^61

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