684 949 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
819515699003158873294662647	27	89.4	2016-09-27 02:31:09

ECM

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

Estimated T-Level: 27.2 ⓘ

TF below 2^85 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1990	0
Verified (Factored)		Brian J. Beesley	6535CF546EE61990	0
Verified (Factored)		The Grebelius Family	6535CF546EE61990	0
Verified (Factored)	2015-04-11	MadPoo	6535CF546EE61990	505121

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-27	Oliver Kruse	D3F125123BEB6D7F	1	0	1	3
Verified	2017-09-28	Oliver Kruse	D3F125123BEB6D7F	1	0	1	3
Verified	2017-11-09	kkmrkkblmbrbk	D3F125123BEB6D7F	1	620327	1	3
Verified	2020-04-20	Oliver Kruse	BB05F8B4F78966FF	1	273523	5	3
Verified	2025-03-06	kkmrkkblmbrbk	BB05F8B4F78966FF	1	297613	5	3

History

Date	User	Type	Result
2025-03-06	kerni3	CERT	PRP Certification Proof certified good
2025-03-06	kkmrkkblmbrbk	C-PRP	M684949/819515699003158873294662647 : BB05F8B4F78966FF PRP proof power = 6 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-20	Oliver Kruse	C-PRP	M684949/819515699003158873294662647 : BB05F8B4F78966FF PRP: Verified PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M684949/819515699003158873294662647 : D3F125123BEB6D7F PRP: Verified PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M684949/819515699003158873294662647 : D3F125123BEB6D7F PRP: Verified PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M684949/819515699003158873294662647 : D3F125123BEB6D7F PRP: Verified PRP without proof (not generated)
2016-09-27	westicles	F-ECM	Factor: 819515699003158873294662647 / (ECM curve 22, B1=50000, B2=5000000)
2015-11-18	Sid & Andy	NF-PM1	B1=6849490, B2=205484700, E=12
2015-10-31	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-31	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-05-20	lycorn	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	6535CF546EE61990
2013-10-21	David Campeau	NF-PM1	B1=1395000, B2=44640000, E=12
2012-08-29	Joss	NF-PM1	B1=1369898
2012-02-17	Joss	NF-PM1	B1=542644
2011-07-19	Joss	NF-PM1	B1=325586
2010-08-11	Architects Cubed	NF	no factor from 2^60 to 2^61
2008-10-11	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-11	Sturle Sunde	NF	no factor from 2^58 to 2^59

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