3 474 901 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
879865452123043435388431	24	79.5	2023-04-28 20:14:59

ECM

Digits	B1	Curves
25	50000	73 / 280

Estimated T-Level: 21.3 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joe Decker	028F81EFF5EDB6B3	0
Verified (Factored)	1999-10-21	Ronny Karl	028F81EFF5EDB6B3	181415

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-04-29	Naegi Makoto	409B3CFF3A64FA2C	1	1993462	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-17	879865452123043435388431	8500000	21793457070

History

Date	User	Type	Result
2023-05-17	Sid & Andy	F-PM1	Factor: 879865452123043435388431 / (P-1, B1=8500000, B2=21793457070)
2023-04-29	ky0uraku	CERT	PRP Certification Proof certified good
2023-04-29	Naegi Makoto	C-PRP	M3474901/879865452123043435388431 : 409B3CFF3A64FA2C PRP proof power = 7 PRP: Verified Proof certified good
2023-04-28	Sergey Nosov	F-ECM	Factor: 879865452123043435388431 / (ECM curve 1, B1=50000, B2=5000000)
2022-04-27	TJAOI	NF	no factor from 2^69 to 2^70
2021-12-11	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2021-11-13	Aaron Haviland	NF-PM1	B1=1500000, B2=30000000, e=12
2021-01-09	axn	NF	no factor from 2^68 to 2^69
2018-12-10	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-16	Gordon Spence	NF	no factor from 2^66 to 2^67
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
2016-01-05	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-26	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-08-21	Joss	NF-PM1	B1=78471
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-12	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-21	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-07	Carsten Kossendey	NF-PM1	B1=20000, B2=240000
2009-03-20	S485122	NF	no factor from 2^60 to 2^61

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