3 355 553 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
56169727625519263051560601	26	85.5	2020-10-20 07:41:15

ECM

Digits	B1	Curves
25	50000	15 / 280

Estimated T-Level: 20.3 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jeff Luebke	B34DB115A3D44257	0
Verified (Factored)	1999-12-15	Mike Baraniak	B34DB115A3D44257	1087255

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-10-22	fre_games	58EF390266A3695D	1	3264058	5	3
Verified	2020-10-23	kutens	58EF390266A3695D	1	3343766	5	3

P-1 factors

Date	Factor	B1	B2
2020-10-20	56169727625519263051560601	4000000	150000000

History

Date	User	Type	Result
2022-09-10	Joss	NF-PM1	B1=1000000, B2=241175550
2022-03-16	Joss	NF-PM1	B1=1000000, B2=134343300
2020-10-23	Ben Delo	CERT	PRP Certification Proof certified good
2020-10-23	kutens	C-PRP	M3355553/56169727625519263051560601 : 58EF390266A3695D PRP proof power = 7 PRP: Verified Proof certified good
2020-10-22	fre_games	C-PRP	M3355553/56169727625519263051560601 : 58EF390266A3695D PRP: Verified PRP without proof (not generated)
2020-10-20	mikr	F-PM1	Factor: 56169727625519263051560601 / (P-1, B1=4000000, B2=150000000, E=12)
2018-12-17	TJAOI	NF	no factor from 2^67 to 2^68
2017-03-04	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-07-18	Joss	NF-PM1	B1=598640, B2=4789120, E=6
2016-06-20	Joss	NF-PM1	B1=598640, B2=2394560, E=6
2016-06-19	Joss	NF-PM1	B1=598640, B2=1197280
2016-05-08	Numberwang	NF-PM1	B1=20000, B2=210000
2016-03-22	Joss	NF-PM1	B1=598640
2016-03-04	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-12-06	Joss	NF-PM1	B1=498867
2015-10-07	Joss	NF-PM1	B1=453516
2015-07-31	Joss	NF-PM1	B1=397801
2015-02-11	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-11	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-23	Joss	NF-PM1	B1=93256
2014-05-19	Joss	NF-PM1	B1=74128
2012-11-15	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-10-12	USAFSS	NF-PM1	B1=55000, B2=907500, E=6
2011-08-17	markr	NF	no factor to 2^62
2009-07-05	Carsten Kossendey	NF-PM1	B1=15000, B2=206250
2009-03-28	S485122	NF	no factor from 2^60 to 2^61

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