3 574 631 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1478315315936174287673	22	70.3	2021-03-18 11:36:15
197897865559183580492999704943	30	97.3	2022-05-25 14:14:14

ECM

Digits	B1	Curves
25	50000	12 / 280

Estimated T-Level: 20.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Friberg	FCC015B27AFAAB71	0
Verified (Factored)	1999-08-16	Carl Mikkelsen	FCC015B27AFAAB71	1720690

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2021-03-26	kracker	93B26380885DB51C	1	1851863	5	3
Verified (Factored)	2021-03-26	ATH	93B26380885DB51C	1	1022434	5	3
Verified	2022-05-31	Poao	93B26380885DB51C	2	1771459	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-25	197897865559183580492999704943	100000	130364850

History

Date	User	Type	Result
2022-09-13	Joss	NF-PM1	B1=1000000, B2=130364850
2022-08-26	Joss	NF-PM1	B1=1000000
2022-05-31	Ember_Edison	CERT	PRP Certification Proof certified good
2022-05-31	Poao	C-PRP	M3574631/1478315315936174287673/197897865559183580492999704943 : 93B26380885DB51C PRP proof power = 7 PRP: Verified Proof certified good
2022-05-25	Joss	F-PM1	Factor: 197897865559183580492999704943 / (P-1, B1=100000, B2=130364850)
2022-03-01	Joss	NF-PM1	B1=100000
2021-03-26	curtisc	CERT	PRP Certification Proof certified good
2021-03-26	ATH	C-PRP	M3574631/1478315315936174287673 : 93B26380885DB51C PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-03-26	kracker	C-PRP	M3574631/1478315315936174287673 : 93B26380885DB51C PRP: Verified (Factored) PRP without proof (not generated)
2021-03-18	-Anonymous-	F	Factor: 1478315315936174287673 / TF: 70-71*
2021-03-18	-Anonymous-	NF	no factor from 2^69 to 2^70
2020-12-22	axn	NF	no factor from 2^68 to 2^69
2018-11-12	TJAOI	NF	no factor from 2^67 to 2^68
2017-05-13	Joss	NF-PM1	B1=350000, B2=3500000, E=6
2017-01-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-04-07	USAFSS	NF-PM1	B1=175000, B2=4681250, E=6
2016-02-26	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-01-30	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-30	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-07-02	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-12-23	Squeeky_Squirrel	NF-PM1	B1=85000, B2=1572500, E=6
2011-06-18	markr	NF	no factor from 2^61 to 2^62
2009-07-09	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-14	S485122	NF	no factor from 2^60 to 2^61

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