658 591 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
541108925149182849342321453589970204569	39	128.7	2022-10-13 12:48:59

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	215 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1D9D	0
Verified (Factored)		Alex and Nick Myrman	1D9D	0
Verified (Factored)		Steve Sommars	835FF2C211179D9D	0
Verified (Factored)	2002-07-27	Mark Outhier	835FF2C211179D9D	19026
Verified (Factored)	2015-04-11	MadPoo	835FF2C211179D9D	524339

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-10-13	masser	964EE0E9B6FECA48	1	460942	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-13	541108925149182849342321453589970204569	49000000	698522424600

History

Date	User	Type	Result
2022-10-13	curtisc	CERT	PRP Certification Proof certified good
2022-10-13	masser	C-PRP	M658591/541108925149182849342321453589970204569 : 964EE0E9B6FECA48 PRP proof power = 6 PRP: Verified Proof certified good
2022-10-13	masser	F-PM1	Factor: 541108925149182849342321453589970204569 / (P-1, B1=49000000, B2=698522424600)
2022-09-03	masser	NF-PP1	Start=2/7, B1=4900000, B2=210700000
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-27	LordJulius	NF	no factor from 2^68 to 2^69
2022-02-27	LordJulius	NF	no factor from 2^67 to 2^68
2022-01-22	LordJulius	NF-PM1	B1=10000000, B2=147195198150
2020-01-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-07-31	Smok_bmv	NF	no factor from 2^65 to 2^66
2017-06-28	Smok_bmv	NF	no factor from 2^64 to 2^65
2015-11-15	Sid & Andy	NF-PM1	B1=6585910, B2=197577300, E=12
2015-10-30	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-30	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-05-29	lycorn	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	835FF2C211179D9D
2013-10-24	David Campeau	NF-PM1	B1=1370000, B2=43840000, E=12
2012-08-01	Joss	NF-PM1	B1=1317182
2012-06-19	Joss	NF-PM1	B1=658633
2011-09-11	Joss	NF-PM1	B1=570969
2011-07-12	Joss	NF-PM1	B1=342581
2011-01-26	Sid & Andy	NF	no factor from 2^60 to 2^61
2008-10-12	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-12	Sturle Sunde	NF	no factor from 2^58 to 2^59

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