1 741 447 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
8253742234864360726097	22	72.8	2016-03-12 03:35:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Paul Wilson	E8FEA992D51C1F90	0
Verified (Factored)	1999-06-26	tom ehlert	E8FEA992D51C1F90	889971
Verified (Factored)	2015-07-18	MadPoo	E8FEA992D51C1F90	303696

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	D5D02C9399409924	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-03	Oliver Kruse	CFB9F42C928CB618	1	0	1	3
Verified	2017-11-03	ATH	CFB9F42C928CB618	1	1516494	1	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	D5D02C9399409924 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-03	ATH	C-PRP	M1741447/8253742234864360726097 : CFB9F42C928CB618 PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1741447/8253742234864360726097 : CFB9F42C928CB618 PRP: Verified PRP without proof (not generated)
2016-03-12	bam	F-ECM	Factor: 8253742234864360726097 / (ECM curve 1, B1=50000, B2=5000000)
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-09-04	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-18	MadPoo	C-LL	E8FEA992D51C1F90
2015-05-12	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-12	snme2pm1	NF	no factor from 2^63 to 2^64
2015-04-14	mikr	NF-PM1	B1=2475400, B2=86660000, E=12
2014-12-02	Joss	NF-PM1	B1=210571
2014-09-11	Joss	NF-PM1	B1=173714
2014-05-06	Joss	NF-PM1	B1=136857
2014-04-05	Joss	NF-PM1	B1=100000
2011-02-10	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-20	Architects Cubed	NF	no factor from 2^60 to 2^61

Username
Password