3 231 313 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
48572754076198988131537	23	75.4	2020-12-27 01:03:20

ECM

Digits	B1	Curves
25	50000	25 / 280

Estimated T-Level: 20.4 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-05-08	Ernst W. Mayer	0D84663DFF86D640	0
Verified (Factored)	1999-06-15	Paul Evertson	0D84663DFF86D640	2880649

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-12-28	Niels_Mache_Nextcloud	CB06246583AB56E0	1	3136631	5	3

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1073130, B2=226749600
2022-01-24	Joss	NF-PM1	B1=1073130, B2=119912100
2021-02-22	Joss	NF	no factor from 2^66 to 2^67
2021-02-21	Joss	NF	no factor from 2^65 to 2^66
2021-01-17	Joss	NF-PM1	B1=407838, B2=3231313, E=6
2020-12-28	irowiki	CERT	PRP Certification Proof certified good
2020-12-28	Niels_Mache_Nextcloud	C-PRP	M3231313/48572754076198988131537 : CB06246583AB56E0 PRP proof power = 7 PRP: Verified Proof certified good
2020-12-27	daveward2005	F-ECM	Factor: 48572754076198988131537 / (ECM curve 7, B1=50000, B2=5000000, Sigma=6510130490679060)
2020-04-22	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2018-12-03	TJAOI	NF	no factor from 2^67 to 2^68
2017-03-25	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-05-21	Joss	NF-PM1	B1=377838, B2=6801084, E=6
2016-01-10	Squeeky_Squirrel	NF-PM1	B1=165000, B2=4413750, E=6
2015-06-24	Tha	NF	no factor from 2^65 to 2^66
2015-02-15	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-15	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-29	Joss	NF-PM1	B1=99726
2014-06-11	Joss	NF-PM1	B1=79863
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-09-24	markr	NF	no factor from 2^61 to 2^62
2011-09-07	USAFSS	NF-PM1	B1=60000, B2=1035000, E=6
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-05	S485122	NF	no factor from 2^60 to 2^61

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