3 474 067 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
9415037747857624470165678557081	31	102.9	2025-01-07 22:31:59

ECM

Digits	B1	Curves
25	50000	230 / 280

Estimated T-Level: 24.1 ⓘ

TF below 2^75 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad		Gregory Grant	CA8E1BD0C85CADF5	0
Verified (Factored)	1999-06-26	Goede Schueler/Christoph Steinbeck	8D2DE890900DBF90	2656094
Verified (Factored)	1999-09-07	David Linton	8D2DE890900DBF90	999962

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-01-07	daveward2005	611A861E7C71402C	1	2932183	5	3

History

Date	User	Type	Result
2025-01-07	Chuck	CERT	PRP Certification Proof certified good
2025-01-07	daveward2005	C-PRP	M3474067/9415037747857624470165678557081 : 611A861E7C71402C PRP proof power = 7 PRP: Verified Proof certified good
2025-01-07	daveward2005	F-ECM	Factor: 9415037747857624470165678557081 / (ECM curve 23, B1=121374, B2=129715950, Edwards Sigma=8855267274162500)
2023-05-16	Sid & Andy	NF-PM1	B1=8500000, B2=21793457070
2022-04-27	TJAOI	NF	no factor from 2^69 to 2^70
2021-12-06	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
2018-12-17	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 2^1 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
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=78475
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-11	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-20	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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