1 575 731 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
14100811789517823183832631	26	83.5	2016-10-27 19:20:34
93569688249614491645578121	26	86.3	2022-08-17 10:18:47
140926655412765709260976871	27	86.9	2016-11-02 21:16:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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)		Marco Negrazus	83F2C0E082F43DA1	0
Verified (Factored)	1998-11-21	Muhi Daniel	83F2C0E082F43DA1	227974
Verified (Factored)	2015-07-20	MadPoo	83F2C0E082F43DA1	1413420

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	A05CF2DBA9930981	2	0	1	3
Verified (Factored)	2017-11-10	kkmrkkblmbrbk	A05CF2DBA9930981	2	169353	1	3
Verified	2022-08-17	LordJulius	79CE4B2E799FFFD4	3	583378	5	3

History

Date	User	Type	Result
2022-08-17	MathEnthousiast	CERT	PRP Certification Proof certified good
2022-08-17	LordJulius	C-PRP	M1575731/14100811789517823183832631/93569688249614491645578121/140926655412765709260976871 : 79CE4B2E799FFFD4 PRP proof power = 6 PRP: Verified Proof certified good
2022-08-17	TJAOI	F-ECM	Factor: 93569688249614491645578121 / (ECM curve 9, B1=250000, B2=40000000)
2017-11-10	kkmrkkblmbrbk	C-PRP	M1575731/14100811789517823183832631/140926655412765709260976871 : A05CF2DBA9930981 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1575731/14100811789517823183832631/140926655412765709260976871 : A05CF2DBA9930981 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-01	Oliver Kruse	C-PRP	M1575731/14100811789517823183832631/140926655412765709260976871 : A05CF2DBA9930981 PRP without proof (not generated)
2016-11-02	VictordeHollander	F-ECM	Factor: 140926655412765709260976871 / (ECM curve 20, B1=50000, B2=5000000)
2016-10-27	bam	F-ECM	Factor: 14100811789517823183832631 / (ECM curve 2, B1=50000, B2=5000000)
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-11	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-20	MadPoo	C-LL	83F2C0E082F43DA1
2015-03-31	VictordeHollander	NF-PM1	B1=10000000, B2=200000000, E=12
2015-02-26	snme2pm1	NF	no factor from 2^64 to 2^65
2015-02-26	snme2pm1	NF	no factor from 2^63 to 2^64
2013-12-10	David Campeau	NF-PM1	B1=970000, B2=28130000, E=12
2011-01-31	James Heinrich	NF-PM1	B1=85000, B2=1402500, E=6
2010-06-02	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-05-03	Architects Cubed	NF	no factor from 2^60 to 2^61

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