2 051 191 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

2051191

Factored

Factor	Digits	Bits	Date
40540211565194066711	20	65.1	2015-07-27 09:45:13
18846165032020329241319	23	74.0	2022-05-10 08:09:06
5238613993738886382582409	25	82.1	2022-10-11 05:19:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	157 / 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)		Joe Decker	6CE13BFF6D8FAEEF	0
Verified (Factored)	1999-01-29	Ethan O'Connor	6CE13BFF6D8FAEEF	1675333

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	E8458AF1B2728F1D	1	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	E8458AF1B2728F1D	1	1267353	1	3
Verified (Factored)	2022-05-10	aperson1	D5DFBB96F8406F14	2	113346	5	3
Verified	2022-10-13	LordJulius	D5DFBB96F8406F14	3	1413373	5	3

History

Date	User	Type	Result
2022-10-13	Chad Steenerson	CERT	PRP Certification Proof certified good
2022-10-13	LordJulius	C-PRP	M2051191/40540211565194066711/18846165032020329241319/5238613993738886382582409 : D5DFBB96F8406F14 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-11	Stef42	F-ECM	Factor: 5238613993738886382582409 / (ECM curve 4, B1=50000, B2=45039225, Sigma=1214609404329729)
2022-05-10	ny1050220	CERT	PRP Certification Proof certified good
2022-05-10	aperson1	C-PRP	M2051191/40540211565194066711/18846165032020329241319 : D5DFBB96F8406F14 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2022-05-10	debrouxl	F-ECM	Factor: 18846165032020329241319 / (ECM curve 4, B1=50000, B2=5200000, Sigma=2883883180809171)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-11-15	kkmrkkblmbrbk	C-PRP	M2051191/40540211565194066711 : E8458AF1B2728F1D PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2051191/40540211565194066711 : E8458AF1B2728F1D PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-07-27	guru	F-ECM	Factor: 40540211565194066711 / (ECM curve 1, B1=50000, B2=5000000)
2015-04-13	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-13	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-22	Joss	NF-PM1	B1=166291
2013-09-01	ramgeis	NF	no factor from 2^62 to 2^63
2012-03-09	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-26	James Heinrich	NF-PM1	B1=135000, B2=2868750, E=6
2011-01-04	Joss	NF-PM1	B1=50000
2010-12-26	Joss	NF-PM1	B1=30000
2009-05-14	Rob_Dee	NF-PM1	B1=20000, B2=280000
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

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