4 184 743 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
91247959305636408458321	23	76.3	2025-10-11 11:20:56

ECM

Digits	B1	Curves
25	50000	210 / 280

Estimated T-Level: 23.8 ⓘ

TF below 2^74 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ken Kriesel	A41C7D4B278075FD	0
Verified (Factored)	2000-05-05	Aaron J. Grier	A41C7D4B278075FD	3180355

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-10-11	fordobr	400BDACDB8F681C6	1	3149158	5	3

History

Date	User	Type	Result
2025-10-11	curtisc	CERT	PRP Certification Proof certified good
2025-10-11	fordobr	C-PRP	M4184743/91247959305636408458321 : 400BDACDB8F681C6 PRP proof power = 7 PRP: Verified Proof certified good
2025-10-11	fordobr	F-ECM	Factor: 91247959305636408458321 / (ECM curve 13, B1=132617, B2=240229275, Edwards Sigma=2053848112767809)
2023-01-11	Denial140	NF	no factor from 2^71 to 2^72
2022-12-14	DRobinsonPE	NF-PM1	B1=6200000, B2=32702012070
2022-05-30	mikr	NF	no factor from 2^70 to 2^71
2021-06-19	axn	NF	no factor from 2^69 to 2^70
2021-06-14	TJAOI	NF	no factor from 2^68 to 2^69
2020-12-29	Dylan Delgado	NF-PM1	B1=1000000, B2=20000000, E=12
2018-12-07	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-22	Yxinity	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-05	snme2pm1	NF	no factor from 2^65 to 2^66
2013-11-02	David Campeau	NF	no factor from 2^64 to 2^65
2013-10-22	Jayder	NF	no factor from 2^63 to 2^64
2013-08-19	Squeeky_Squirrel	NF-PM1	B1=125000, B2=2406250, E=6
2011-08-23	USAFSS	NF-PM1	B1=45000, B2=630000, E=6
2011-05-28	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-01-16	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-03	Carsten Kossendey	NF-PM1	B1=25000, B2=337500

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